US3437850A - Composite tuning fork filters - Google Patents

Composite tuning fork filters Download PDF

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US3437850A
US3437850A US303060A US3437850DA US3437850A US 3437850 A US3437850 A US 3437850A US 303060 A US303060 A US 303060A US 3437850D A US3437850D A US 3437850DA US 3437850 A US3437850 A US 3437850A
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resonator
frequency
tone
resonators
piezoelectric
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David A Bunger
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BPO ACQUISITION CORP
Baldwin Piano and Organ Co
DH Baldwin Co
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DH Baldwin Co
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    • GPHYSICS
    • G10MUSICAL INSTRUMENTS; ACOUSTICS
    • G10HELECTROPHONIC MUSICAL INSTRUMENTS; INSTRUMENTS IN WHICH THE TONES ARE GENERATED BY ELECTROMECHANICAL MEANS OR ELECTRONIC GENERATORS, OR IN WHICH THE TONES ARE SYNTHESISED FROM A DATA STORE
    • G10H3/00Instruments in which the tones are generated by electromechanical means
    • G10H3/12Instruments in which the tones are generated by electromechanical means using mechanical resonant generators, e.g. strings or percussive instruments, the tones of which are picked up by electromechanical transducers, the electrical signals being further manipulated or amplified and subsequently converted to sound by a loudspeaker or equivalent instrument
    • G10H3/14Instruments in which the tones are generated by electromechanical means using mechanical resonant generators, e.g. strings or percussive instruments, the tones of which are picked up by electromechanical transducers, the electrical signals being further manipulated or amplified and subsequently converted to sound by a loudspeaker or equivalent instrument using mechanically actuated vibrators with pick-up means
    • G10H3/20Instruments in which the tones are generated by electromechanical means using mechanical resonant generators, e.g. strings or percussive instruments, the tones of which are picked up by electromechanical transducers, the electrical signals being further manipulated or amplified and subsequently converted to sound by a loudspeaker or equivalent instrument using mechanically actuated vibrators with pick-up means using a tuning fork, rod or tube

Definitions

  • This invention relates generally to electro-mechanical resonators and more particularly to organ tone generating systems employing such resonators.
  • the present invention is related in subject matter to an application for U.S. patent filed in the name of Wayne, Ser. No. 46,704 filed Aug. 1, 1960, and entitled Electric Organ, and assigned to the assignee of the present application, and which concerns an organ system in which harmonic rich generators apply their output to a series of semitone filters, which individually select the semitones into separate channels.
  • the signal content of the separate channels is then processed and combined to produce a tone having a desired frequency spectrum.
  • the filters employed to separate the semitones may have desirable characteristics apart from the stated function, i.e., they may have sufiiciently high Q to impart a relatively long build up time or onset, and a relatively long decay, to the individual tone components. Furthermore, they may be slightly detuned with respect to their driving signals,
  • Chiff components may be introduced into an organ tone in response to transient excitation of certain of the resonators, which may not be driven in steady state for the particular tone, more specifically, a chitf resonator may be transiently excited in response to and during onset of excitation of another resonator which is to be excited in steady state.
  • a chitf resonator may be transiently excited in response to and during onset of excitation of another resonator which is to be excited in steady state.
  • electromechanical resonators may be employed instead.
  • the resonators of the present invention are further useful in an organ tone generating system disclosed in a I copending application for U.S. patent, in the name of Cunningham, filed Aug. 19, 1963, entitled Chiff and Tone Generator, and assigned to the assignee of the present application.
  • a square wave or sine wave generator system is employed, and for each tone an electrical resonant filter or resonator is employed, tuned to the fundamental of the tone, and having a Q selected to insert an appropriate rise and decay time into the wave envelope of the response of the resonant filter to the generator output.
  • the filters may also be detuned with respect to the generator fundamental frequency in order to impart a variation of frequency during tone onset and decay, due to the combination of steady state response of the resonator with its transient response, these occurring at the driving frequency and at the filter resonant frequency, respectively.
  • the response of the filter is applied to a harmonic generator, the output of which con stitutes a frequency spectrum appropriate for tone generation and the tone may be further formed, as required, by means of tone forming filters, the latter operating in a manner generally well understood in the art of organ tone production.
  • chiff is introduced into certain of the organ tones.
  • chiff is commonly found in the flute tones of pipe organs.
  • the serious musician desires an electronic organ to simulate the tones of pipe organs and accordingly desires particularly to insert chiff into flute tone outputs of the electronic organ.
  • Some difference of opinion appears to exist among musicians in respect to precise definitions of chiff.
  • flute tones it is agreed that chiif consists of a transient, gradually rising and gradually decaying frequency component equal to about 5.5 times the fundamental frequency of the flute tone, and which occurs only during the build up of the flute tone.
  • the chiff may be at a subharmonic frequency.
  • transient frequency components which occur during onset only, and which may correspond with a harmonic or subharmonic, or any partial, of the fundamental frequency of a given tone, as distinguished from-an unharmonic or subharmonic frequency may properly be denominated chiff.
  • any of these transient frequencies having a suitable transient wave shape, and which serve to simulate the onset quality of any tones of a pipe organ more closely than would be the case otherwise are denominated chifi.
  • chiff is produced by shock exciting a resonator especially selected for the purpose.
  • chili is produced by applying, to an oscillator, a gating wave which keys on the oscillator at the onset of a tone, and which modulates the amplitude of the oscillator during the onset of the tone in such a way as to generate or simulate chiff.
  • the electromechanical resonators of the present invention have been found valuable for the purpose of producing chitf effects, in organs of both the Wayne and the Cunningham types,
  • Still another object of the invention resides in the provision of an electromechanical resonator in which the tines are piezoelectric elements.
  • a further object of the invention resides in the provision of a tuning fork employing tines having piezoelectric drivers, or consisting of piezoelectric elements, in which the location of the electrodes on the tines is selected to reduce the amplitudes of certain modes of vibration of the tuning fork.
  • Electromechanical resonators employing piezoelectric drivers or in which the piezoelectric element constitutes the resonating component of the resonator are found to have responses or modes of vibration, which may be undesirable.
  • modes introduce undesired tonal components, which must be eliminated by filtering.
  • a mode of vibration occurs at 6.3 times the fundamental mode of the resonator, and many additional modes may occur, these several modes being of relatively high amplitudes, sometimes approaching that of the fundamental. Accordingly, in resonators intended to be employed in tone generating systems, it is essential that the undesired modes be re prised in amplitude as far as possible, although for some purposes one or more of the modes may be musically useful.
  • electromechanical resonators be electrostatically driven because such resonators may be expected to be fabricated at reduced cost.
  • the use of coils for driving resonators inevitably becomes expensive.
  • piezoelectric crystals employed as resonators are not feasible because impedances involved are extremely high and because it is difficult to fabricate such crystals in required shapes for audio applications, i.e., as elongated rods. For example, a length of approximately 2" may be required for about a 100 c.p.s. resonator, and the length and thickness may be measured in a few hundredths of an inch.
  • Resonators of very many different lengths and different operating frequencies are required for application to a single organ, and the use of crystals for so many different frequencies would be prohibitively expensive.
  • ceramic piezoelectric resonators because of their reasonable cost, ease of design for audio frequency operation, and their excellent mechanical properties.
  • Ceramic piezoelectric material varies in Youngs modulus over a considerable range of values in accordance with stress. This means that when the material is used as a resonator the resonant frequency of the resonator becomes a function of the driving voltage. Moreover, when the resonator is utilized because of its slow response property, in forming the envelopes of tones, frequency may vary as the tone builds up, with a corresponding build up of mechanical vibration amplitudes. This efiect may involve a variation of frequency of more than 1%, which is audibly obtrusive.
  • spring steel for example, for a large portion of the length of the tine and piezoelectric material for the remainder of the tine, or by building the tines entirely of spring steel having cemented thereto piezoelectric driving elements, the tonal frequency shift with amplitude of vibration may be radically reduced, since spring steel has a Youngs modulus which does not appreciably vary with deflection. While spring steel has been suggested as a suitable tine material, this is not requisite. Other materials may be selected which have the required resilience to form resonators having desired Q values, and spring steel has been found to represent merely one example of a suitable material.
  • a further broad object of the invention resides in modes of inclusion of electromechanical resonators in electronic organ tone generators, to take advantage of the properties of such resonators which are not available in purely electrical resonators.
  • FIGURE 1 is a block diagram of an organ tone generator according to the invention.
  • FIGURE 2 is a view in elevation of a tuning fork resonator according to the invention, useful in the system of FIGURE 1;
  • FIGURE 3 is a view in plan of a modification of the resonator of FIGURE 2;
  • FIGURES 4a, 4b and 5 are waveforms useful in ex plaining the invention of FIGURES 1-3;
  • FIGURE 6 is a sketch of a functional equivalent of a tuning fork resonator
  • FIGURE 7 is a view in plan of a modification of the resonator of FIGURES 2 and 3;
  • FIGURES 8, 9, l0 and 11 are block diagrams of modifications of the system of FIGURE 1.
  • the reference numeral 10 denotes an oscillator, which may be a sine wave oscillator for the purposes of the present invention but which preferably is a square wave oscillator since such oscillators may be fabricated more cheaply than sinusoidal oscillators in the audio frequency range.
  • a source of D.C. voltage 11 may be provided in series with the oscillator 10.
  • the source of D.C. voltage 11 is not necessary, but is advisable, when a square wave generator is employed, but is necessary when a sinusoidal generator is employed.
  • a mechanically resonant filter 12 is connected to the generator 10 via a key switch 13, operated by a key of an electronic organ.
  • Mechanically resonant filter 12 has a fundamental response frequency equal to the fundamental frequency of the generator 10. Further the mechanically resonant filter 12 has a transient response frequency in a second mode, equal to about 6.3 times the fundamental frequency of the generator
  • the Q of the resonator 12 is assumed to be approximately 50. Assuming that the generator 10' has a fundamental frequency of about 100 'c.p.s., an appropriate rise time will be available in the resonator 12 to provide simulation of the rise times of certain organ tones. For other organ tones a different rise time may be desirable and accordingly the Q of the resonator 12 may be adjusted to suit the application, in a manner to be described hereinbelow.
  • Resonator 12 has a second mode transient response at 6.3 times the fundamental response, as has been above explained. This frequency approaches with reasonable closeness to a chiff frequency suitable for the fundamental frequency, although perfect chiff frequency should, according to some writers on the subject, be 5.5 times the fundamental frequency.
  • the output of the resonator 12 is applied in parallel to two low Q band-pass filters.
  • One of the filters, 14, which may be a band-pass filter having sufiicient width that it does not modify appreciably the response of the resonator 12, selects the fundamental response of the filter for further application in the tone generating system.
  • the other filter, 15, selects the chiff component of the filter response
  • the output of the filter 14 alone is applied to a harmonic generator 16, various examples of which are disclosed in the above mentioned Cunningham application.
  • the spectrum generated by the harmonic generator 16 may be applied to a tone forming filter 17.
  • the generator 16 and the filter 17 together form a tone simulating one or another of the tone types appropriate to electronic organs.
  • the output of the tone filter 17 is applied to suitable amplification system 18, and is radiated acoustically by a loudspeaker or other analogous device 19.
  • the output of the chili filter is applied to the input of the amplifier 18, so that the chiff plus the fundamental tone may be combined.
  • Chiff is a tone component which is required to occur only at the onset of a tone and not at its decay and furthermore is a component which requires a relatively slow buildup and slow decay during the onset time of the main tone and does not occur during the steady state of the main tone. Accordingly, the resonator 12, in order to produce a chiff component of a generated tone is required to have peculiar characteristics, not normally found in resonators. Appropriate characteristics are inherent in resonators fabricated according to the present invention, and illustrated in FIGURES 2, 3 and 4 of the present invention.
  • FIGURE 2 of the drawings there is illustrated a tuning fork configuration 20 having two tines 21 and 22 joined by a bridging element 23 at one end of the tines, the remaining ends of the tines being free to vibrate in the fiexural mode. While such a tuning fork may have many modes of vibration, at the center point 24 of the bridging element 23 all these modes of vibration have zero amplitude. Accordingly center point 24 is utilized as a mounting point for the tuning fork 20. Point 24 is suspended from a helical spring 25 which may extend vertically, in a mounted and operating tuning fork, and spring 25 may extend from the central point of a horizontally extending helical spring 26, the ends of which are secured to mounting posts 27, 28. Each tine is composed of a spring steel rod 29 which constitutes an extension of the piezoelectric rod 30, and is cemented thereto at point 31 for that purpose.
  • Signal may be applied at terminal 33, and abstracted at terminal 39.
  • the bridging element 23, when fabricated of metal may be utilized as a ground or common point for the system.
  • tines of purely piezoelectric ceramic have a considerable variation of frequency with driving amplitude or driving voltage applied to terminal 33. This occurs because Youngs modulus for the material involved varies with strain. This is 1 an extremely undersirable property from the point of view of a music instrument. In order to reduce the impact of this property steel is used as a major portion of the tines.
  • the piezoelectric element may have a length of 1.6. The remainder of the length being made up of spring steel.
  • the length of the piezoelectric element may be reduced to .6" for example so that the major part of the time is spring steel.
  • the total length of piezoelectric element employed is a function of the voltage sensitivity desired for the system, and the total length of piezoelectric element cannot be reduced indefinitely without seriously reducing the output of the system for a given signal input. A compromise value must be reached, for which variation of resonance frequency is acceptable. Where variation of resonant frequency of the order of 1 /2 is acceptable the entire tine may be fabricated of piezoelectric material, as in FIG- URE 3, where the tines 40 and 41 are no longer composite tines but are totally piezoelectric.
  • the electrodes 42, 43 for the time 40* and 44, 45 for the tine 41 do not extend over the entire piezoelectric body. Accordingly, while the entire tine is made of piezoelectric material, and has a length resonant to the frequency involved, the entire tine is not electrically active.
  • the theory on which is based the effectiveness of reduced electrical length for a piezoelectric vibrator is that for all modes above the first the crystal has both positive and negative curvature. The phase of the output voltage generated by the crystal is dependent upon the sign of the curvature. Thus there is a point along the crystal at which the voltage caused by the positive curvature of the crystal cancels the voltage caused by the negative curvature of the crystal.
  • any given mode can be reduced by a factor of over 30 db, and for some electrode lengths a great many of the higher modes may be radically reduced simultaneously.
  • the third mode can be reduced over db the 4th mode over db, the 5th mode over 50 db, while the first mode is attenuated only about 7 or 8 db and the second mode only about 20 db.
  • the second mode is often desirable but the remaining modes are undesirable. Accordingly, the fact that the second mode cannot be radically reduced is not of serious import. However, if it were desired to highly attenuate the second mode also this might be possible by appropriately selecting the electrode length for one of the tines so as to minimize the second mode and for the other tine so as to minimize the remaining modes.
  • FIGURE 3 wherein are shown loads 50 in the form of masses positioned so as to vary frequency.
  • Each of the modes has a point at which vibration is a maximum.
  • vibration amplitude is a maximum at the free end of the tine.
  • the other modes it occurs at other points.
  • FIGURE 2 is shown the utilization of mass loads 50 at the ends of the tine. This varies the frequency of the resonator in the fundamental or first mode.
  • the total mass of the bridging element 23 is important because as this mass is varied the coupling between the tines is varied. Eventually a point is reached at which the coupling between the tines is sufliciently great that the two tines constitute critically coupled circuit. Such circuits, in their transient response, are quite dilferent than singly coupled circuits, under coupled circuits or overcoupled circuits.
  • FIGURE 4a of the accompanying drawings is illustrated the transient response of an essentially singly resonant tube circuit to which has been applied a step voltage of the type illustrated in FIGURE 5.
  • the oscillations rapidly attain a very high or maximum amplitude, when the step function commences, and decays as a function of time according to the Q of the resonator.
  • Such a response is not suitable for the tonal characteristic known as chiff.
  • the latter requires a gradually built up transient followed by a gradually decaying transient rather than a transient which builds up very suddenly and then decays.
  • the transient response of a critically doubly tuned circuit which is illustrated in FIGURE 4b does approximate the envelope characteristic of cá, and accordingly the resonators of FIGURES 2 and 3 may be designed to provide appropriate transient characteristics for utilization in chiff generators by suitably coupling the tines. This may be best accomplished by suitably reducing or increasing the mass of the bridging element 23, on an empirical basis.
  • One of the important characteristics of the resonators of FIGURES 2 and 3 is the transient response of these filters in the second mode. This is a mode which is particularly, tough not exclusively, useful for production of chiff. The production of chitf requires a transient at onset on the main tone, but must not occur at decay of the main tone.
  • a resonator of the type of FIGURE 2 has the requisite onset transient for the fundamental tone, but not for its decay relates to the character of the resonator.
  • a transient occurs when the driving signal is removed, as well as when it is applied, assuming that the fundamenal frequency of the resonator is equal to or substantially equal to the driving frequency. If the driving frequency is not equal to the resonant frequency of the resonator, then as the driving frequency is switched on, the resonator is shock excited by the driving frequency, but is also driven by the driving frequency.
  • the two frequencies initially exist together, causing a peculiar beating effect which is musically very pleasant.
  • FIGURE 6 of the accompanying drawings represents a mechanical equivalent of a tuning fork.
  • a step function i.e., may be applied a DC steady state voltage on closure of the switch 61.
  • the driving tine of the resonator is exemplified by a resonator 62 having electrodes 63, 64.
  • Mechanical coupling between the tines is exemplified by the line 65 and the driven tine is represented by the crystal 66, the output terminal being 67.
  • the switch 61 is closed a voltage appears across the electrodes 63, 64, which is applied to the element 62.
  • the resonator 62 is then shock excited and vibrates in its various modes, transiently.
  • the coupling between the resonators 62 and 66 is so slight that the circuit looks like the singly coupled circuit to the driving step function.
  • the piezoelectric elements of FIGURES 2 and 3 are flexural elements, which implies that each element is composed of two differently polarized ceramic layers in a sandwich.
  • a ceramic piezoelectric device which operates in the longitudinal mode.
  • This single layer, as at 70 in FIGURE 7 may be cemented to a tine 71 of a steel tuning fork 72 and may have a single electrode plated thereon as 73, the tine itself constituting another electrode, if desired, or two electrodes may be provided on the ceramic, as is commonly the case when the ceramics are purchased commercially.
  • the ceramic is operated in the longitudinal mode, i.e., it has a length determined by the voltage applied thereto.
  • FIG. 8 the output of the resonator 12, including its second overtone at approximately 6.3 times the fundamental, are applied in toto to the harmonic generator 16.
  • the system being otherwise the same as in FIGURE 1.
  • the harmonic generator 16 then generates harmonics of the cat frequency as well as harmonics of the steady state frequency and the chiff now is a relatively complex chiff instead of being essentially a single frequency chiff.
  • the advantage of the system of FIGURE 8 over the system of FIGURE 1 is that two filters are eliminated from the system of FIGURE 1 and the disadvantage is that the chitf component is not a pure tone, which it preferably should be.
  • Chiff is normally employed with pure flue tones, although various forms of chitf may also occur with other tones.
  • For the pure flute tone very few harmonic tones are required, and accordingly any harmonics provided by the harmonic generators may be of very low amplitude, or may be nonexistent. Accordingly, for flute tones in particular, the requirement for separate fundamental and chiff filters becomes nonexistent and the system of FIGURE 8 becomes entirely practical.
  • Resonator 12a is designed to have a minimum second mode as well as minimum 3rd, 4th, 5th mode, etc.
  • Resonator 12b is tuned to about 5.5 times the fundamental frequency and also is designed to minimize all modes other than the fundamental mode.
  • the resonator 12b is then shock excited, when switch 13 is closed, since the driving frequency provided by the oscillator contains no component at 5.5 times the fundamental.
  • the resonator 12a is driven in the fundamental mode.
  • the resonator 12b provides a transient at 5.5 times the fundamental frequency on onset of the tone, i.e., when the key switch 13 is closed, but, because of the considerations explained by reference to FIGURE 6 of the drawings, there is no terminating transient.
  • two resonators are employed, identified by the reference numerals 12c and 12d. These are designed to have the same fundamental frequency. However the resonator 120 is designed to minimize the second mode, while the resonator 12d is designed to provide a substantial second mode oscillation.
  • the resonator 12d is not excited by the generator 10 in the system of FIGURE 10 but is excited by a DC source 60 which is connected to the resonator 12d by means of a key switch 61 ganged to the key switch 13.
  • the resonator 12d is an overcoupled tuning fork which is designed to produce an envelope of transient response appropriate to chifl production.
  • the transient response of the resonator 12d then is composite, i.e., there is a transient response at the fundamental and there is a transient response in the second mode, but there is no steady state response.
  • the resonator 12c produces only a fundamental response, or produces other than fundamental mode responses which are greatly reduced in amplitude, and produces its own transient onset and decay for the fundamentals.
  • the resonator 12d provides no transient on decay but only at onset, i.e., any transient on decay is so slow as to be audibly ineffective.
  • the advantage of the system of FIG- URE 10 is that the two resonators may be similar in many of their constructional features, which simplifies fabrication.
  • a further advantage is that two different fundamental transient responses occur, at onset, which enhances the transient response of the finally generated tone. This system also enables easy selection of a desired chifi frequency.
  • FIGURE 11 is similar to FIGURE 10 except in that the resonator He is operated in its second mode, i.e., is resonant in its fundamental mode to 5.5 times the frequency of generator 10.
  • the output of resonator 12e is a transient, since it is excited only by a chiff function.
  • FIG- URES 2, 3 and 7 Various other applications of the resonators of FIG- URES 2, 3 and 7 may be envisaged, particularly by reference to the Wayne and the Cunningham application-s, wherein are disclosed various forms of tone generating systems employing resonators.
  • a mechanically resonant band-pass high Q filter comprising a tuning fork including a first tine, a second tine, a metallic bridging element joining adjacent first ends of said tines, each of said tines comprising a ceramic piezoelectric rod, said bridging element mechanically coupling said rods, each of said piezoelectric rods including a pair of electrodes, terminals for applying driving signal connected only to one of said pairs of electrodes, and
  • terminals for acquiring output signal connected only to the other of said pairs of electrodes.
  • a mechanically resonant band-pass high Q filter comprising a tuning fork including a first tine, a second tine, a metallic bridging element joining adjacent first ends of said tines, each of said tines comprising a ceramic piezoelectric rod, said bridging element mechanically coupling said rods, each of said piezoelectric rods including a pair of electrodes, terminals for applying driving signal connected only to one of said pairs of electrodes, and terminals for acquiring output signal connected only to the other of said pair of electrodes, wherein said electrodes extend for less than the total lengths of said rods commencing at said bridging elements, each of said tines including a length of piezoelectric material having electrodes and a substantial length of piezoelectric material having no electrodes, the length of said electrodes with respect to the lengths of said rods being selected to selectively eliminate the magnitudes of preselected vibratory mode responses of said rods.
  • a mechanically resonant band-pass high Q filter comprising a tuning fork including a first tine, a second tine, a metallic bridging element joining adjacent first ends of said tines, each of said tines comprising a ceramic piezoelectric rod, said bridging element mechanically coupling said rods, each of said piezoelectric rods including a pair of electrodes, terminals for applying driving signal connected only to one of said pairs of electrodes, and terminals for acquiring output signal connected only to the other of said pairs of electrodes, wherein a length of further metallic rod is secured as an extension to each of said piezoelectric rods, the relative lengths of said further metallic rods and said piezoelectric rods being selected to eliminate undesired vibratory modes, to control the Q of said filters, and to reduce the variation of Q with amplitude of driving signal which is characteristic of ceramic piezoelectric rod.
  • a mechanical resonator system comprising a ceramic piezoelectric tuning fork having a fundamental steady state response and a transient response at approximately 5 .5 times the frequency of said fundamental when excited by a signal devoid of a steady state alternating current component at approximately 5.5 times the frequency of said fundamental, wherein said tuning fork includes a direct current capacitive drive circuit, and means for generating said transient response only on direct current energization of said driver and not on steady state deenergization thereof, said last means including a slow resistive discharge circuit for said capacitive drive circuit.
  • a tuning fork filter including tines each at least including ceramic piezoelectric elements having electrodes,
  • said bridging element being metallic
  • the total mass of said bridging element being selected to provide critical coupling between said tines, whereby the tuning fork filter possesses the electrical characteristics of a critically double tuned circuit.
  • a piezoelectric tuning fork comprising two tines
  • each of said tines being a piezoelectric rod having two electrodes located respectively on opposite sides thereof, and
  • each of said piezoelectric rods being constituted of a spring steel rod secured to said piezoelectric rod.
  • a piezoelectric chiff generator for an electric organ comprising a two tined piezoelectric tuning fork having critical mechanical coupling between the tines of said tuning fork,

Description

Apnl 8, 1969 D. A. BUNGER COMPOSITE TUNING FORK FILTERS Sheet Filed Aug. 19', 1963 INVENT OR ATTORNEYS United States Patent 3,437,850 COMPOSITE TUNING FORK FILTERS David A. Buuger, Cincinnati, Ohio, assignor to D. H. Baldwin Company, a corporation of Ohio Filed Aug. 19, 1963, Ser. No. 303,060 Int. Cl. H01v 7/00; G10d 13/08; G10g 7/02 U.S. Cl. 310--9.6 12 Claims ABSTRACT OF THE DISCLOSURE the resonators. Response of filters may be applied to harmonic generators, which generate frequency spectra appropriate for tone generation.
This invention relates generally to electro-mechanical resonators and more particularly to organ tone generating systems employing such resonators.
In the art of organ tone generation by electronic circuitry, the need frequently arises for a high Q resonator, Qsof the order of 50 being especially desirable because resonators may be employed to control waveform envelopes and a Q of about -100 provide favorable rise and decay times for various musical tones in the audio band. It follows that types of resonators which may find application in electronic musical instruments preferably should be capable of adjustment of Q, but also such resonators should be relatively temperature insensitive in respect to tuning, and the frequency values should be constant with driving voltage, i.e., with amplitude of vibration of the resonator.
In the past it has been common to utilize high Q electrical resonant circuits as resonators for tone generating systems. In order to attain the values of Q which are required, resort has been had to toroidal cores in the inductances of the circuits, which are expensive. In a fairly complex organ system a very large number of resonators may be required, and economic considerations then become predominant. According to the present invention, use is made in organ tone forming systems of electromechanical resonators, which may be fabricated economically and which have the desired electrical and mechanical characteristics. The invention concerns itself with the resonators per se (which may have other uses than those described in the present invention) and further concerns novel systems, which utilize such resonators, for generating organ tones.
The present invention is related in subject matter to an application for U.S. patent filed in the name of Wayne, Ser. No. 46,704 filed Aug. 1, 1960, and entitled Electric Organ, and assigned to the assignee of the present application, and which concerns an organ system in which harmonic rich generators apply their output to a series of semitone filters, which individually select the semitones into separate channels. The signal content of the separate channels is then processed and combined to produce a tone having a desired frequency spectrum. The filters employed to separate the semitones may have desirable characteristics apart from the stated function, i.e., they may have sufiiciently high Q to impart a relatively long build up time or onset, and a relatively long decay, to the individual tone components. Furthermore, they may be slightly detuned with respect to their driving signals,
ICE.
in order to establish transient responses which are musically desirable, and they may introduce chiif. Chiff components may be introduced into an organ tone in response to transient excitation of certain of the resonators, which may not be driven in steady state for the particular tone, more specifically, a chitf resonator may be transiently excited in response to and during onset of excitation of another resonator which is to be excited in steady state. In the Wayne application purely electrical high Q resonators are employed, but the suggestion is made that electromechanical resonators may be employed instead.
The resonators of the present invention are further useful in an organ tone generating system disclosed in a I copending application for U.S. patent, in the name of Cunningham, filed Aug. 19, 1963, entitled Chiff and Tone Generator, and assigned to the assignee of the present application. In the system of Cunningham a square wave or sine wave generator system is employed, and for each tone an electrical resonant filter or resonator is employed, tuned to the fundamental of the tone, and having a Q selected to insert an appropriate rise and decay time into the wave envelope of the response of the resonant filter to the generator output. The filters may also be detuned with respect to the generator fundamental frequency in order to impart a variation of frequency during tone onset and decay, due to the combination of steady state response of the resonator with its transient response, these occurring at the driving frequency and at the filter resonant frequency, respectively. The response of the filter is applied to a harmonic generator, the output of which con stitutes a frequency spectrum appropriate for tone generation and the tone may be further formed, as required, by means of tone forming filters, the latter operating in a manner generally well understood in the art of organ tone production.
In both the Wayne application and the Cunningham application chiff is introduced into certain of the organ tones. For example, chiff is commonly found in the flute tones of pipe organs. The serious musician desires an electronic organ to simulate the tones of pipe organs and accordingly desires particularly to insert chiff into flute tone outputs of the electronic organ. Some difference of opinion appears to exist among musicians in respect to precise definitions of chiff. In the case of flute tones, it is agreed that chiif consists of a transient, gradually rising and gradually decaying frequency component equal to about 5.5 times the fundamental frequency of the flute tone, and which occurs only during the build up of the flute tone. In the case of the harmonic flute the chiff may be at a subharmonic frequency. Some writers on the subject believe that chiif is always accompanied by wind noises, but this is disputed. It is also disputed whether transient frequency components which occur during onset only, and which may correspond with a harmonic or subharmonic, or any partial, of the fundamental frequency of a given tone, as distinguished from-an unharmonic or subharmonic frequency, may properly be denominated chiff. For the purpose of the present application any of these transient frequencies having a suitable transient wave shape, and which serve to simulate the onset quality of any tones of a pipe organ more closely than would be the case otherwise, are denominated chifi. In the Wayne application chiff is produced by shock exciting a resonator especially selected for the purpose. In the Cunningham application, on the other hand, chili is produced by applying, to an oscillator, a gating wave which keys on the oscillator at the onset of a tone, and which modulates the amplitude of the oscillator during the onset of the tone in such a way as to generate or simulate chiff. The electromechanical resonators of the present invention have been found valuable for the purpose of producing chitf effects, in organs of both the Wayne and the Cunningham types,
more particularly, though not exclusively, because such resonators have been found to possess a transient response at approximately flute tone chiff frequency, i.e., about 6.3 times the fundamental frequency applied to the resonator.
It is, accordingly, a primary object of the present invention to provide an improved electromechanical resonator.
It is a further object of the invention to provide a novel reed type electromechanical resonator which is driven by a piezoelectric driver, and which is found to have the property that an onset transient occurs on energization by a driving voltage without a corresponding decay transient when the resonator is deenergized in respect to its driving voltage, which may be a step function voltage.
It is still another object of the invention to provide an electromechanical resonator of the tuning fork type in which the tines of the fork are composite, each tine being composed in part of a piezoelectric element and in part of an element fabricated of other material, having a different density or different Youngs modulus, or both, and which more particularly has the characteristic that its Youngs modulus does not appreciably vary with the amplitude of its vibration.
Still another object of the invention resides in the provision of an electromechanical resonator in which the tines are piezoelectric elements.
A further object of the invention resides in the provision of a tuning fork employing tines having piezoelectric drivers, or consisting of piezoelectric elements, in which the location of the electrodes on the tines is selected to reduce the amplitudes of certain modes of vibration of the tuning fork.
Electromechanical resonators employing piezoelectric drivers or in which the piezoelectric element constitutes the resonating component of the resonator are found to have responses or modes of vibration, which may be undesirable. In the case of tone generating systems, such modes introduce undesired tonal components, which must be eliminated by filtering. In the case of a flexural mode of vibration of a mechanical resonator, a mode of vibration occurs at 6.3 times the fundamental mode of the resonator, and many additional modes may occur, these several modes being of relatively high amplitudes, sometimes approaching that of the fundamental. Accordingly, in resonators intended to be employed in tone generating systems, it is essential that the undesired modes be re duced in amplitude as far as possible, although for some purposes one or more of the modes may be musically useful.
A problem occurs, especially in musical instruments, of mounting electromechanical resonators so that they will not be subject to external shock and vibration. This is accomplished according to the present invention by designing the resonators in a tuning fork conformation, so that there will exist one point of the fork which is always a node for all modes of vibration simultaneously and using that point for mounting the resonator. It is thereby economically feasible to reduce intercoupling between forks.
It is desirable that electromechanical resonators be electrostatically driven because such resonators may be expected to be fabricated at reduced cost. The use of coils for driving resonators inevitably becomes expensive. However, piezoelectric crystals employed as resonators are not feasible because impedances involved are extremely high and because it is difficult to fabricate such crystals in required shapes for audio applications, i.e., as elongated rods. For example, a length of approximately 2" may be required for about a 100 c.p.s. resonator, and the length and thickness may be measured in a few hundredths of an inch. Resonators of very many different lengths and different operating frequencies are required for application to a single organ, and the use of crystals for so many different frequencies would be prohibitively expensive.
In accordance with the present invention use is made of ceramic piezoelectric resonators because of their reasonable cost, ease of design for audio frequency operation, and their excellent mechanical properties. Use further is made of composite resonators, i.e., if a resonator is in the form of a tuning fork each tine of the tuning fork is composed of a piezoelectric section and a nonpiezoelectric section. It is then found that by properly selecting the length of the piezoelectric section with respect to the total length of the tine, certain modes of vibration may be deemphasized.
Ceramic piezoelectric material varies in Youngs modulus over a considerable range of values in accordance with stress. This means that when the material is used as a resonator the resonant frequency of the resonator becomes a function of the driving voltage. Moreover, when the resonator is utilized because of its slow response property, in forming the envelopes of tones, frequency may vary as the tone builds up, with a corresponding build up of mechanical vibration amplitudes. This efiect may involve a variation of frequency of more than 1%, which is audibly obtrusive. By utilizing spring steel, for example, for a large portion of the length of the tine and piezoelectric material for the remainder of the tine, or by building the tines entirely of spring steel having cemented thereto piezoelectric driving elements, the tonal frequency shift with amplitude of vibration may be radically reduced, since spring steel has a Youngs modulus which does not appreciably vary with deflection. While spring steel has been suggested as a suitable tine material, this is not requisite. Other materials may be selected which have the required resilience to form resonators having desired Q values, and spring steel has been found to represent merely one example of a suitable material.
A further broad object of the invention resides in modes of inclusion of electromechanical resonators in electronic organ tone generators, to take advantage of the properties of such resonators which are not available in purely electrical resonators.
The above and still further objects, features and advantages of the present invention will become apparent upon consideration of the following detailed description of one specific embodiment thereof, especially when taken in conjunction with the accompanying drawings, wherein:
FIGURE 1 is a block diagram of an organ tone generator according to the invention;
FIGURE 2 is a view in elevation of a tuning fork resonator according to the invention, useful in the system of FIGURE 1;
FIGURE 3 is a view in plan of a modification of the resonator of FIGURE 2;
FIGURES 4a, 4b and 5 are waveforms useful in ex plaining the invention of FIGURES 1-3;
FIGURE 6 is a sketch of a functional equivalent of a tuning fork resonator;
FIGURE 7 is a view in plan of a modification of the resonator of FIGURES 2 and 3;
FIGURES 8, 9, l0 and 11 are block diagrams of modifications of the system of FIGURE 1.
Referring now more particularly to FIGURE 1 of the accompanying drawings, the reference numeral 10 denotes an oscillator, which may be a sine wave oscillator for the purposes of the present invention but which preferably is a square wave oscillator since such oscillators may be fabricated more cheaply than sinusoidal oscillators in the audio frequency range. In series with the oscillator 10 may be provided a source of D.C. voltage 11. As will appear as the description proceeds, the source of D.C. voltage 11 is not necessary, but is advisable, when a square wave generator is employed, but is necessary when a sinusoidal generator is employed. A mechanically resonant filter 12 is connected to the generator 10 via a key switch 13, operated by a key of an electronic organ. Mechanically resonant filter 12, the details of which will be described hereinafter by reference to other figures of the accompanying drawings, has a fundamental response frequency equal to the fundamental frequency of the generator 10. Further the mechanically resonant filter 12 has a transient response frequency in a second mode, equal to about 6.3 times the fundamental frequency of the generator The Q of the resonator 12 is assumed to be approximately 50. Assuming that the generator 10' has a fundamental frequency of about 100 'c.p.s., an appropriate rise time will be available in the resonator 12 to provide simulation of the rise times of certain organ tones. For other organ tones a different rise time may be desirable and accordingly the Q of the resonator 12 may be adjusted to suit the application, in a manner to be described hereinbelow.
Resonator 12 has a second mode transient response at 6.3 times the fundamental response, as has been above explained. This frequency approaches with reasonable closeness to a chiff frequency suitable for the fundamental frequency, although perfect chiff frequency should, according to some writers on the subject, be 5.5 times the fundamental frequency. According to the modification of the present invention as illustrated in FIGURE 1, the output of the resonator 12 is applied in parallel to two low Q band-pass filters. One of the filters, 14, which may be a band-pass filter having sufiicient width that it does not modify appreciably the response of the resonator 12, selects the fundamental response of the filter for further application in the tone generating system. The other filter, 15, selects the chiff component of the filter response, The output of the filter 14 alone is applied to a harmonic generator 16, various examples of which are disclosed in the above mentioned Cunningham application. The spectrum generated by the harmonic generator 16 may be applied to a tone forming filter 17. The generator 16 and the filter 17 together form a tone simulating one or another of the tone types appropriate to electronic organs. The output of the tone filter 17 is applied to suitable amplification system 18, and is radiated acoustically by a loudspeaker or other analogous device 19. The output of the chili filter is applied to the input of the amplifier 18, so that the chiff plus the fundamental tone may be combined. Chiff is a tone component which is required to occur only at the onset of a tone and not at its decay and furthermore is a component which requires a relatively slow buildup and slow decay during the onset time of the main tone and does not occur during the steady state of the main tone. Accordingly, the resonator 12, in order to produce a chiff component of a generated tone is required to have peculiar characteristics, not normally found in resonators. Appropriate characteristics are inherent in resonators fabricated according to the present invention, and illustrated in FIGURES 2, 3 and 4 of the present invention.
Referring now to FIGURE 2 of the drawings, there is illustrated a tuning fork configuration 20 having two tines 21 and 22 joined by a bridging element 23 at one end of the tines, the remaining ends of the tines being free to vibrate in the fiexural mode. While such a tuning fork may have many modes of vibration, at the center point 24 of the bridging element 23 all these modes of vibration have zero amplitude. Accordingly center point 24 is utilized as a mounting point for the tuning fork 20. Point 24 is suspended from a helical spring 25 which may extend vertically, in a mounted and operating tuning fork, and spring 25 may extend from the central point of a horizontally extending helical spring 26, the ends of which are secured to mounting posts 27, 28. Each tine is composed of a spring steel rod 29 which constitutes an extension of the piezoelectric rod 30, and is cemented thereto at point 31 for that purpose.
Signal may be applied at terminal 33, and abstracted at terminal 39. The bridging element 23, when fabricated of metal may be utilized as a ground or common point for the system.
Use of a composite tine has great advantages in the system. It is found experimentally that tines of purely piezoelectric ceramic have a considerable variation of frequency with driving amplitude or driving voltage applied to terminal 33. This occurs because Youngs modulus for the material involved varies with strain. This is 1 an extremely undersirable property from the point of view of a music instrument. In order to reduce the impact of this property steel is used as a major portion of the tines. In one specific embodiment of the invention, for example, where the tines have a total length of 2 and are designed for resonance at 100 c.p.s., the piezoelectric element may have a length of 1.6. The remainder of the length being made up of spring steel. However, the length of the piezoelectric element may be reduced to .6" for example so that the major part of the time is spring steel. The total length of piezoelectric element employed is a function of the voltage sensitivity desired for the system, and the total length of piezoelectric element cannot be reduced indefinitely without seriously reducing the output of the system for a given signal input. A compromise value must be reached, for which variation of resonance frequency is acceptable. Where variation of resonant frequency of the order of 1 /2 is acceptable the entire tine may be fabricated of piezoelectric material, as in FIG- URE 3, where the tines 40 and 41 are no longer composite tines but are totally piezoelectric. In the system of FIGURE 3 the electrodes 42, 43 for the time 40* and 44, 45 for the tine 41 do not extend over the entire piezoelectric body. Accordingly, while the entire tine is made of piezoelectric material, and has a length resonant to the frequency involved, the entire tine is not electrically active. The theory on which is based the effectiveness of reduced electrical length for a piezoelectric vibrator is that for all modes above the first the crystal has both positive and negative curvature. The phase of the output voltage generated by the crystal is dependent upon the sign of the curvature. Thus there is a point along the crystal at which the voltage caused by the positive curvature of the crystal cancels the voltage caused by the negative curvature of the crystal. While it is impossible, according to the available experimental evidence, to eliminate all modes by selection of length of electrode in relation to time length, any given mode can be reduced by a factor of over 30 db, and for some electrode lengths a great many of the higher modes may be radically reduced simultaneously. For example for a tine 1.9" long, for which the electrode length extends 1.1" from the mount end, it is found that the third mode can be reduced over db the 4th mode over db, the 5th mode over 50 db, while the first mode is attenuated only about 7 or 8 db and the second mode only about 20 db.
For the application of the resonators of FIGURES 2 and 3 to tone generating systems for electronic organs, the second mode is often desirable but the remaining modes are undesirable. Accordingly, the fact that the second mode cannot be radically reduced is not of serious import. However, if it were desired to highly attenuate the second mode also this might be possible by appropriately selecting the electrode length for one of the tines so as to minimize the second mode and for the other tine so as to minimize the remaining modes.
In addition, it is possible to load the crystal, for example as in FIGURE 3, wherein are shown loads 50 in the form of masses positioned so as to vary frequency. Each of the modes has a point at which vibration is a maximum. For the first mode vibration amplitude is a maximum at the free end of the tine. For the other modes it occurs at other points. By applying mass loads to the points of the tine at which a given mode vibrates at maximum amplitude, the frequency of that mode can be varied differentially with respect to the other modes because the other modes do not vibrate at maximum amplitude at the same point. In FIGURE 2 is shown the utilization of mass loads 50 at the ends of the tine. This varies the frequency of the resonator in the fundamental or first mode.
The total mass of the bridging element 23 is important because as this mass is varied the coupling between the tines is varied. Eventually a point is reached at which the coupling between the tines is sufliciently great that the two tines constitute critically coupled circuit. Such circuits, in their transient response, are quite dilferent than singly coupled circuits, under coupled circuits or overcoupled circuits.
In FIGURE 4a of the accompanying drawings is illustrated the transient response of an essentially singly resonant tube circuit to which has been applied a step voltage of the type illustrated in FIGURE 5. It will be seen that the oscillations rapidly attain a very high or maximum amplitude, when the step function commences, and decays as a function of time according to the Q of the resonator. Such a response is not suitable for the tonal characteristic known as chiff. The latter requires a gradually built up transient followed by a gradually decaying transient rather than a transient which builds up very suddenly and then decays. However, the transient response of a critically doubly tuned circuit, which is illustrated in FIGURE 4b does approximate the envelope characteristic of chilf, and accordingly the resonators of FIGURES 2 and 3 may be designed to provide appropriate transient characteristics for utilization in chiff generators by suitably coupling the tines. This may be best accomplished by suitably reducing or increasing the mass of the bridging element 23, on an empirical basis. One of the important characteristics of the resonators of FIGURES 2 and 3 is the transient response of these filters in the second mode. This is a mode which is particularly, tough not exclusively, useful for production of chiff. The production of chitf requires a transient at onset on the main tone, but must not occur at decay of the main tone. The reason why a resonator of the type of FIGURE 2 has the requisite onset transient for the fundamental tone, but not for its decay relates to the character of the resonator. For the fundamental frequency, a transient occurs when the driving signal is removed, as well as when it is applied, assuming that the fundamenal frequency of the resonator is equal to or substantially equal to the driving frequency. If the driving frequency is not equal to the resonant frequency of the resonator, then as the driving frequency is switched on, the resonator is shock excited by the driving frequency, but is also driven by the driving frequency. The two frequencies initially exist together, causing a peculiar beating effect which is musically very pleasant. This effect, however, exists only during onset of the wave because the transient component dies out in a time determined by the Q of the resonator, leaving only the steady state. Moreover, the steady state becomes a constant amplitude in due course, and then represents the fundamental of the tone being generated. The sole effect on the steady state of the detuning of the resonator is that the response is at lower amplitude than would be the case were the resonator precisely tuned. In the case of the second mode, however, this is not true since there is no driving frequency corresponding with the second mode vibration. Accordingly, the second mode vibration is solely a transient response. FIGURE 6 of the accompanying drawings represents a mechanical equivalent of a tuning fork. To the terminal 60 may be applied a step function, i.e., may be applied a DC steady state voltage on closure of the switch 61. The driving tine of the resonator is exemplified by a resonator 62 having electrodes 63, 64. Mechanical coupling between the tines is exemplified by the line 65 and the driven tine is represented by the crystal 66, the output terminal being 67. When the switch 61 is closed a voltage appears across the electrodes 63, 64, which is applied to the element 62. The resonator 62 is then shock excited and vibrates in its various modes, transiently. One may assume that the coupling between the resonators 62 and 66 is so slight that the circuit looks like the singly coupled circuit to the driving step function. In such case there would be a rapid or instantaneous initiation of the transient at maximum amplitude, which will decay as a function of time to zero as in FIGURE 4a. When the switch is opened, on the other hand, the voltage on the electrodes 63, 64 remains because the electrodes constitute a capacitor. That voltage will decay very slowly through any leakage path which may exist, the latter being represented by resistance 68, or an actual resistance may be inserted at the position 68. Accordingly, there is no rapid decay of applied voltage at the resonator 62 when switch 61 is opening, and there is no ringing force applied on decay of the tone. The distinction then is that when the switch 61 is closed, a sudden voltage is applied to the electrodes 63, 64 but when the switch 61 is opened the contrary effect, i.e., a sudden reduction of voltage does not occur. If now the coupling 65 is sufficiently great the resonators 62 and 66 look like a critically coupled circuit. In such case, when the switch 61 is closed the initial transient starts at 0 and builds up to some predetermined value and thereafter decays to 0, as indicated in FIGURE 4b of the drawings. This occurs in the system of FIGURE 1, for the second mode because for the second mode only a transient voltage is applied, i.e., either a step function, in the case of a voltage supplied by the battery 11 of FIGURE 1, or in absence of the battery by the level of the square wave 10 when switch 13 is closed. Battery 11 is particularly useful in the case of sine wave excitation, because for sine wave excitation the point in the cycle of the sine wave at which the switch closes is indeterminate. The switch may be closed when the sine wave is small or when it is very large and in each case the transient response would be different, since the transient response is a function of the ringing impact, i.e., the value of the voltage at the moment the switch is closed.
The piezoelectric elements of FIGURES 2 and 3 are flexural elements, which implies that each element is composed of two differently polarized ceramic layers in a sandwich. For some purposes it is desirable to utilize a ceramic piezoelectric device which operates in the longitudinal mode. For such a mode only a single layer of ceramic is required. This single layer, as at 70 in FIGURE 7 may be cemented to a tine 71 of a steel tuning fork 72 and may have a single electrode plated thereon as 73, the tine itself constituting another electrode, if desired, or two electrodes may be provided on the ceramic, as is commonly the case when the ceramics are purchased commercially. In FIGURE 7 the ceramic is operated in the longitudinal mode, i.e., it has a length determined by the voltage applied thereto. This is not true of the tine since the latter is made of steel. The combination of the two effects, i.e., elongation of ceramic 70 without a correspOndnig elongation of the tine 71 causes a bending of the tine 71 and accordingly causes tuning fork action.
Various ways of employing the resonators of FIG- URES 2, 3 and 7 in organ systems, in addition to that indicated in FIGURE 1 of the accompanying drawings are envisaged. In FIGURE 8 the output of the resonator 12, including its second overtone at approximately 6.3 times the fundamental, are applied in toto to the harmonic generator 16. The system being otherwise the same as in FIGURE 1. The harmonic generator 16 then generates harmonics of the chilf frequency as well as harmonics of the steady state frequency and the chiff now is a relatively complex chiff instead of being essentially a single frequency chiff. The advantage of the system of FIGURE 8 over the system of FIGURE 1 is that two filters are eliminated from the system of FIGURE 1 and the disadvantage is that the chitf component is not a pure tone, which it preferably should be. Chiff is normally employed with pure flue tones, although various forms of chitf may also occur with other tones. For the pure flute tone very few harmonic tones are required, and accordingly any harmonics provided by the harmonic generators may be of very low amplitude, or may be nonexistent. Accordingly, for flute tones in particular, the requirement for separate fundamental and chiff filters becomes nonexistent and the system of FIGURE 8 becomes entirely practical.
In the system of FIGURE 9 two mechanical resonators are employed, i.e., connected in parallel with the switch 13 are resonator 12a and resonator 12b. Resonator 12a is designed to have a minimum second mode as well as minimum 3rd, 4th, 5th mode, etc. Resonator 12b, on the other hand, is tuned to about 5.5 times the fundamental frequency and also is designed to minimize all modes other than the fundamental mode. The resonator 12b is then shock excited, when switch 13 is closed, since the driving frequency provided by the oscillator contains no component at 5.5 times the fundamental. The resonator 12a is driven in the fundamental mode. Accordingly, the resonator 12b provides a transient at 5.5 times the fundamental frequency on onset of the tone, i.e., when the key switch 13 is closed, but, because of the considerations explained by reference to FIGURE 6 of the drawings, there is no terminating transient.
In the system of FIGURE 10 two resonators are employed, identified by the reference numerals 12c and 12d. These are designed to have the same fundamental frequency. However the resonator 120 is designed to minimize the second mode, while the resonator 12d is designed to provide a substantial second mode oscillation. The resonator 12d is not excited by the generator 10 in the system of FIGURE 10 but is excited by a DC source 60 which is connected to the resonator 12d by means of a key switch 61 ganged to the key switch 13. The resonator 12d is an overcoupled tuning fork which is designed to produce an envelope of transient response appropriate to chifl production. The transient response of the resonator 12d then is composite, i.e., there is a transient response at the fundamental and there is a transient response in the second mode, but there is no steady state response. The resonator 12c produces only a fundamental response, or produces other than fundamental mode responses which are greatly reduced in amplitude, and produces its own transient onset and decay for the fundamentals. The resonator 12d provides no transient on decay but only at onset, i.e., any transient on decay is so slow as to be audibly ineffective. The advantage of the system of FIG- URE 10 is that the two resonators may be similar in many of their constructional features, which simplifies fabrication. A further advantage is that two different fundamental transient responses occur, at onset, which enhances the transient response of the finally generated tone. This system also enables easy selection of a desired chifi frequency.
FIGURE 11 is similar to FIGURE 10 except in that the resonator He is operated in its second mode, i.e., is resonant in its fundamental mode to 5.5 times the frequency of generator 10. The output of resonator 12e is a transient, since it is excited only by a chiff function.
Various other applications of the resonators of FIG- URES 2, 3 and 7 may be envisaged, particularly by reference to the Wayne and the Cunningham application-s, wherein are disclosed various forms of tone generating systems employing resonators.
While I have described and illustrated one specific embodiment of my invention, it will be clear that variations of the details of construction which are specifically illustrated and described may be resorted to without departing from the true spirit and scope of the invention as defined in the appended claims.
I claim:
1. A mechanically resonant band-pass high Q filter, comprising a tuning fork including a first tine, a second tine, a metallic bridging element joining adjacent first ends of said tines, each of said tines comprising a ceramic piezoelectric rod, said bridging element mechanically coupling said rods, each of said piezoelectric rods including a pair of electrodes, terminals for applying driving signal connected only to one of said pairs of electrodes, and
terminals for acquiring output signal connected only to the other of said pairs of electrodes.
2. A mechanically resonant band-pass high Q filter, comprising a tuning fork including a first tine, a second tine, a metallic bridging element joining adjacent first ends of said tines, each of said tines comprising a ceramic piezoelectric rod, said bridging element mechanically coupling said rods, each of said piezoelectric rods including a pair of electrodes, terminals for applying driving signal connected only to one of said pairs of electrodes, and terminals for acquiring output signal connected only to the other of said pair of electrodes, wherein said electrodes extend for less than the total lengths of said rods commencing at said bridging elements, each of said tines including a length of piezoelectric material having electrodes and a substantial length of piezoelectric material having no electrodes, the length of said electrodes with respect to the lengths of said rods being selected to selectively eliminate the magnitudes of preselected vibratory mode responses of said rods.
3. A mechanically resonant band-pass high Q filter, comprising a tuning fork including a first tine, a second tine, a metallic bridging element joining adjacent first ends of said tines, each of said tines comprising a ceramic piezoelectric rod, said bridging element mechanically coupling said rods, each of said piezoelectric rods including a pair of electrodes, terminals for applying driving signal connected only to one of said pairs of electrodes, and terminals for acquiring output signal connected only to the other of said pairs of electrodes, wherein a length of further metallic rod is secured as an extension to each of said piezoelectric rods, the relative lengths of said further metallic rods and said piezoelectric rods being selected to eliminate undesired vibratory modes, to control the Q of said filters, and to reduce the variation of Q with amplitude of driving signal which is characteristic of ceramic piezoelectric rod.
4. A mechanical resonator system, comprising a ceramic piezoelectric tuning fork having a fundamental steady state response and a transient response at approximately 5 .5 times the frequency of said fundamental when excited by a signal devoid of a steady state alternating current component at approximately 5.5 times the frequency of said fundamental, wherein said tuning fork includes a direct current capacitive drive circuit, and means for generating said transient response only on direct current energization of said driver and not on steady state deenergization thereof, said last means including a slow resistive discharge circuit for said capacitive drive circuit.
5. A tuning fork filter including tines each at least including ceramic piezoelectric elements having electrodes,
a bridging element coupling ends of said tines,
the remaining ends of said tines being free,
said bridging element being metallic,
the total mass of said bridging element being selected to provide critical coupling between said tines, whereby the tuning fork filter possesses the electrical characteristics of a critically double tuned circuit.
6. The combination according to claim 5 wherein is provided means for at will applying and thereafter removing a drive voltage only to the electrodes of one of said piezoelectric elements and for deriving a response only from the electrodes of the other of said piezoelectric elements.
7. The combination according to claim 6 wherein said drive voltage includes a step voltage and said response is a transient response.
8. The combination according to claim 7 wherein said drive voltage is an alternating voltage and a superposed DC voltage.
9. A piezoelectric tuning fork, comprising two tines,
each of said tines being a piezoelectric rod having two electrodes located respectively on opposite sides thereof, and
an extension of each of said piezoelectric rods being constituted of a spring steel rod secured to said piezoelectric rod.
10. A piezoelectric chiff generator for an electric organ, comprising a two tined piezoelectric tuning fork having critical mechanical coupling between the tines of said tuning fork,
means for driving only one of said tines with a step wave, and
means for deriving output signal only from the of said tines.
11. The combination according to claim 10, wherein is provided means for driving said only one of said tines with an alternating current signal.
12. The combination according to claim 11, wherein a relatively high damping resistance is connected in parallel with said only one of said tines.
References Cited UNITED STATES PATENTS other,
12 Cavalieri 333-72 Oram 310-25 K0 3109.6 Chesney 310-9.6 Tygart 3108.2 Cacly 3108 Mason 310-8 Kean 310-8 Kinsley et al. 3109.6 Shinada et al. 84-457 Shinada et a1. 84457 Hart 310-8 Ohata 3218 OTHER REFERENCES The Quartz Tuning Fork, Wireless Engineer, vol. 30, July 1953, No.7, pp. 161-163.
20 I. D. MILLER, Primary Examiner.
US. Cl. X.R.
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US4773493A (en) * 1986-07-01 1988-09-27 Sensor International Vibration type measuring apparatus
US6507141B2 (en) * 1999-09-15 2003-01-14 Bei Technologies, Inc. Inertial rate sensor tuning fork
US20150101404A1 (en) * 2012-08-28 2015-04-16 Dingding Chen Sensor characterization apparatus, methods, and systems
US9514725B1 (en) * 2015-07-31 2016-12-06 Joseph A. Brandstetter Musical instrument

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