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US3760482A - Method of adjusting frequency of tuning fork type vibrator - Google Patents

Method of adjusting frequency of tuning fork type vibrator Download PDF

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US3760482A
US3760482A US00254599A US3760482DA US3760482A US 3760482 A US3760482 A US 3760482A US 00254599 A US00254599 A US 00254599A US 3760482D A US3760482D A US 3760482DA US 3760482 A US3760482 A US 3760482A
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vibrator
frequency
root portion
tuning fork
fork type
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US00254599A
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Y Kawamura
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Suwa Seikosha KK
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Suwa Seikosha KK
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    • GPHYSICS
    • G04HOROLOGY
    • G04CELECTROMECHANICAL CLOCKS OR WATCHES
    • G04C3/00Electromechanical clocks or watches independent of other time-pieces and in which the movement is maintained by electric means
    • G04C3/08Electromechanical clocks or watches independent of other time-pieces and in which the movement is maintained by electric means wherein movement is regulated by a mechanical oscillator other than a pendulum or balance, e.g. by a tuning fork, e.g. electrostatically
    • G04C3/10Electromechanical clocks or watches independent of other time-pieces and in which the movement is maintained by electric means wherein movement is regulated by a mechanical oscillator other than a pendulum or balance, e.g. by a tuning fork, e.g. electrostatically driven by electromagnetic means
    • G04C3/101Electromechanical clocks or watches independent of other time-pieces and in which the movement is maintained by electric means wherein movement is regulated by a mechanical oscillator other than a pendulum or balance, e.g. by a tuning fork, e.g. electrostatically driven by electromagnetic means constructional details
    • G04C3/107Controlling frequency or amplitude of the oscillating system
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10TTECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
    • Y10T29/00Metal working
    • Y10T29/49Method of mechanical manufacture
    • Y10T29/4957Sound device making
    • Y10T29/49574Musical instrument or tuning fork making

Definitions

  • ABSTRAtCT A tuning/fork type vibrator is formed with a root portion not more than three times as thick as the region of the tines adjacent said root portion. Frequency balance is achieved by cutting off portions of the root portion in the region adjacent the tine having the higher frequency. The frequency of the vibrator as a whole is adjusted by cutting off symmetrical portions of said-root portion.
  • This invention relates to a method of adjusting the frequency of a tuning fork type vibrator which may be used as the time standard vibrator of an electric timepiece or the like.
  • tuning fork type vibrators must be precisely set at a predetermined frequency. It is also necessary that the frequency of the two tines of the vibrator coincide. However, it has proved difficult to initially manufacture tuning fork type vibrators which are both balanced and are set at the predetermined frequency.
  • a method for fine adjustment of a tuning fork wherein a tuning fork is formed with ,a root portion of a thickness no greater than the thickness of the tines in the region adjacent said root portion.
  • the tuning fork type vibrator- is initially formed so as to have a frequency higher than the desired predetermined frequency.
  • the frequency is adjusted by cutting away portions of the root portion symmetrical relative to the axis of symmetry of the tuning fork.
  • the tuning fork is balanced by cutting away portions of the root portion on the same side of the axis of symmetry as the tine having the higher frequency.
  • an object of the invention is to provide a method for readily balancing and adjusting a tuning fork type vibrator without lowering the Q-value thereof.
  • the invention accordingly comprises the several steps and the relation of one or more of such steps with respect to each of the others thereof, which will be exemplified in the method hereinafter disclosed, and the scope of the invention will be indicated in the claims.
  • FIG. 1 is a top plan view of a tuning fork type vibrator suitable for use as a time standard for an electric timepiece and the like;
  • FIGS. 2-5 are perspective fragmentary views of the tuning fork vibrator of FIG. 1 illustrating the method tor of FIG. 6;
  • FIGS. 9 and 10 are top plan views illustrating the adjustment of both balance and frequency of a tuning fork type vibrator in accordance with the invention.
  • FIGS. 11 and 12 are top plan views illustrating the frequency adjusting method in accordance with the invention as applied to vibrators having non-uniform root portions.
  • the tuning fork type vibrator depicted has a pair to tines l and l connected by a root portion 2.
  • a supporting portion 3 projects from said root portion between said tines from the center of said root portion and is substantially aligned with the axis of symmetry of the tuning fork type vibrator.
  • Said vibrator may be fixed to a base plate by means of said supporting portion.
  • Masses 4 and 4 are respectively carried by the free ends of tines l and I.
  • the region of the tines adjacent root portion 2 is of a thickness t, while said root portion is of a thick- IleSS [2.
  • the frequency f of the tuning fork type vibrator is given by:
  • M equals the equivalent mass of the vibrator and K equals the spring constant of the vibrator itself.
  • each of the spring constants K, and K, referred to above represent the combination of the spring constant of the respective tines 1 and 1' determined by the respective sectional geometry of said tines and the spring constant of the root portion 2 determined by the sectional geometry of said root portion.
  • the tuning fork body, excluding the masses 4 and 4 is generally formed from a plate of uniform thickness. Similarly, the thickness t, of each tine in the region adjacent the root portion is substantially equal.
  • the spring constant K (or K is substantially determined by t,.
  • the spring constant K 1 (or K',) is determined by t
  • t is no more than two or three times larger than the spring constant K,(or K',) is determined by t, and 1 but the influence of t is less than the influence of 1,.
  • the same principle may be adapted for adjusting the frequency of a tuning fork type vibrator to a predetermined value.
  • This adjustment technique requires the formation of the vibrator with a frequency higher than the predetermined value.
  • the root portion 2 of the vibrator is then cut an amount sufficient to reduce the frequency to the desired value.
  • Such a cut is made symmetrically relative to the axis of symmetry of the vibrator as illustrated in FIGS. 6-8.
  • an oblique cut is made in the root portion 2.
  • the cut is uniform across the entire width of the root portion, while in FIG. 7, an arcuate oblique cut is formed in the central region of the root portion.
  • the balance adjustment and the frequency adjustment in accordance with the invention can be carried out in the same tuning fork type vibrator.
  • the balance of a vibrator may be adjusted in accordance with the method illustrated in FIG. 2 while the frequency is adjusted by the method of FIG. 8.
  • the balance adjustment of FIG. 3 may be performed in conjunction with the frequency adjustment of FIG. 7;
  • the balance adjustment of FIG. 4 can be made in conjunction with the frequency adjustment of FIGS. 6 8;
  • the balance adjustment of FIG. 5 may be made in conjunction with the frequency adjustment of FIGS. 6 8.
  • the balance adjustment can be performed by cutting portions a or b while the frequency adjustment can be made by cutting the portion 0.
  • frequency adjustment can still be achieved by the symmetrical cutting away of portions of the root portion.
  • the essential feature of this frequency adjustment in accordance with the invention is the cutting away of portions of root portion 2 so as to decrease the flexural rigidity (spring constant) of said root portion.
  • the method in accordance with the invention offers substantial advantages over the prior art.
  • a frequency adjustment of 2-3 I-Iz may be achieved by cutting away about 0.05-0.1 mm. of the thickness r of root portion 2.
  • the frequency of the vibrator can be shifted to the predetermined frequency.
  • the range of adjustment permitted by the method in accordance with the invention is broad as compared with the prior art method of cutting the masses carried by the free end of the tines.
  • the method in accordance with the invention can also be applied to other vibrators using the tuning fork vibrator as a base, such as the tuning ring vibrator, a special tuning fork vibrator, or a trifurcated tuning fork type vibrator.
  • a method of adjusting the frequency of a tuning fork type vibrator comprising the steps of forming a tuning fork type vibrator having a root portion of a thickness not more than three times the thickness of the region of the tines adjacent said root portion, said vibrator being formed with a frequency higher than the desired predetermined frequency; and cutting away symmetrical portions of said root portion relative to the axis of symmetry of said vibrator until the actual frequency of said vibrator is substantially equal to said predetermined frequency.
  • the method of balancing the frequency of a tuning fork type vibrator comprising the step of cutting away portions of the root portion of the vibrator on the same side of the axis of symmetry of said vibrator as the tine having the higher frequency until the frequencies of said tines are substantially equal.

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  • Physics & Mathematics (AREA)
  • Electromagnetism (AREA)
  • General Physics & Mathematics (AREA)
  • Piezo-Electric Or Mechanical Vibrators, Or Delay Or Filter Circuits (AREA)

Abstract

A tuning fork type vibrator is formed with a root portion not more than three times as thick as the region of the tines adjacent said root portion. Frequency balance is achieved by cutting off portions of the root portion in the region adjacent the tine having the higher frequency. The frequency of the vibrator as a whole is adjusted by cutting off symmetrical portions of said root portion.

Description

United States Patent 1191 Kawamura 451 Sept. 25, 1973 METHOD OF ADJUSTING FREQUENCY OF TUNING FORK TYPE VIBRATOR [75] Inventor: Yoshikazu Kavvamura, Simosuwamachi, Japan [73] Assignee: Kabushiki Kaisha Suiva Sukosha,
' Tokyo, Japan [22] Filed: May 18, 1972 21 App1.No.: 254,599
[52] U.S. Cl 29/1695, 29/177, 58/23 TF, 84/409, 84/457 [51] Int. Cl B29d 17/00 [58] Field of Search 29/1695, 177, 178,
[56] References Cited UNITED STATES PATENTS 1,831,638 11/1931 Ranger et a1. 84/409 1,912,343 5/1933 Buckingham 84/457 2,806,400 9/1957 Grib 84/457 3,106,124, 10/1963 Asten 84/409 X 3,506,897 4/1970 Clifford 58/23 TF X Primary ExaminerCharles W. Lanham Assistant ExaminerVictor A. DiPalma Attorney-Alex Friedman et a1.
[5 7] ABSTRAtCT A tuning/fork type vibrator is formed with a root portion not more than three times as thick as the region of the tines adjacent said root portion. Frequency balance is achieved by cutting off portions of the root portion in the region adjacent the tine having the higher frequency. The frequency of the vibrator as a whole is adjusted by cutting off symmetrical portions of said-root portion.
3 Claims, 12 Drawing Figures PATENTED 3.760.482
SHEET 2 UP 2 FIG/l 2 METHOD OF ADJUSTING FREQUENCY OF TUNING FORK TYPE VIBRATOR BACKGROUND OF THE INVENTION This invention relates to a method of adjusting the frequency of a tuning fork type vibrator which may be used as the time standard vibrator of an electric timepiece or the like.
Such tuning fork type vibrators must be precisely set at a predetermined frequency. It is also necessary that the frequency of the two tines of the vibrator coincide. However, it has proved difficult to initially manufacture tuning fork type vibrators which are both balanced and are set at the predetermined frequency.
Accordingly, balance and frequency adjustment of prior art tuning fork type vibrators was achieved by slightly cutting the mass carried by the free end of the completed tuning fork or cutting the two tines of the tuning fork. If said mass is used in a magnetic circuit and the tuning fork type vibrator is driven, the cutting of said mass presents substantial drawbacks in that the amount that may be cut is limited andthe range of frequency adjustment is narrow. It is difiicult to perform precise adjustment by cutting the tines of a tuning fork type vibrator since the frequency varies substantially in response to a very small amount of cutting. For this reason, it is technically difficult to cut both tines uniformly to achieve frequency adjustment. Further, the cutting of the tines produces an inner strain within the tines and reduces the Q-value of the vibrator.
SUMMARY OF THE INVENTION Generally speaking, in accordance withthe invention, a method for fine adjustment of a tuning fork wherein a tuning fork is formed with ,a root portion of a thickness no greater than the thickness of the tines in the region adjacent said root portion. The tuning fork type vibrator-is initially formed so as to have a frequency higher than the desired predetermined frequency. The frequency is adjusted by cutting away portions of the root portion symmetrical relative to the axis of symmetry of the tuning fork. The tuning fork is balanced by cutting away portions of the root portion on the same side of the axis of symmetry as the tine having the higher frequency.
Accordingly, an object of the invention is to provide a method for readily balancing and adjusting a tuning fork type vibrator without lowering the Q-value thereof.
Still other objects and advantages of the invention will in part be obvious and will in part be apparent from the specification and drawings.
The invention accordingly comprises the several steps and the relation of one or more of such steps with respect to each of the others thereof, which will be exemplified in the method hereinafter disclosed, and the scope of the invention will be indicated in the claims.
BRIEF DESCRIPTION OF THE DRAWINGS For a fuller understanding of the invention, reference is had to the following description taken in connection with the accompanying drawings, in which:
FIG. 1 is a top plan view ofa tuning fork type vibrator suitable for use as a time standard for an electric timepiece and the like;
FIGS. 2-5 are perspective fragmentary views of the tuning fork vibrator of FIG. 1 illustrating the method tor of FIG. 6;
FIGS. 9 and 10 are top plan views illustrating the adjustment of both balance and frequency of a tuning fork type vibrator in accordance with the invention; and
FIGS. 11 and 12 are top plan views illustrating the frequency adjusting method in accordance with the invention as applied to vibrators having non-uniform root portions.
DESCRIPTION OF THE PREFERRED EMBODIMENTS Referring now to FIG. 1, the tuning fork type vibrator depicted has a pair to tines l and l connected by a root portion 2. A supporting portion 3 projects from said root portion between said tines from the center of said root portion and is substantially aligned with the axis of symmetry of the tuning fork type vibrator. Said vibrator may be fixed to a base plate by means of said supporting portion. Masses 4 and 4 are respectively carried by the free ends of tines l and I. As shown in FIG. 1, the region of the tines adjacent root portion 2 is of a thickness t, while said root portion is of a thick- IleSS [2.
Generally, in tuning fork type vibrators of the type depicted in FIG. 1, it is necessary to adjust the frequency of the two tines so as to be substantially equal. The respective frequencies f, and f, of tines 1 and 1 are shown by the following equations:
f, l/21r w} K,/M, f, 1/211- K',/M, where M, and M, the equivalent masses of the respective tines and K,, K, the spring constants of the respective tines.
' Accordingly, if K, K, and M, M, ,f,,equalsj, and no adjustment is required. However, as noted above, it is impossible to manufacture a vibrator with such precision. However, even if K, K, and M, M',, iff,=f',, the tuning fork type vibrator vibrates normally.
The prior art methods for frequency adjustment required either the cutting off of the mass carried by the free end of the tine having the lower frequency so as to change the mass M, or the cutting off of the whole or one portion of the tine having the higher frequency so as to change the spring constant K. In this manner,f, was made equal 10], and both tines were balanced.
The frequency f of the tuning fork type vibrator is given by:
where, M equals the equivalent mass of the vibrator and K equals the spring constant of the vibrator itself.
Frequency adjustment was heretofore acheived by changing M by uniformly cutting off portions of the masses 4 and 4 carried by the free ends of tines 1 and 1 or by uniformly cutting off the whole or one portion of both tines 1 and 1 so as to change the spring constant K. However, as discussed above, such adjustment method offers substantial disadvantages. Each of the spring constants K, and K, referred to above represent the combination of the spring constant of the respective tines 1 and 1' determined by the respective sectional geometry of said tines and the spring constant of the root portion 2 determined by the sectional geometry of said root portion. The tuning fork body, excluding the masses 4 and 4, is generally formed from a plate of uniform thickness. Similarly, the thickness t, of each tine in the region adjacent the root portion is substantially equal. When the thickness of the root portion t is substantially larger than the thickness of the tines t the spring constant K, (or K is substantially determined by t,. When t is smaller than t,, the spring constant K 1 (or K',) is determined by t However, if t is no more than two or three times larger than the spring constant K,(or K',) is determined by t, and 1 but the influence of t is less than the influence of 1,.
Where the tuning fork type vibrator is formed in accordance with the latter proportions, correction of small fluctuations in frequency may be readily achieved. Thus, where f, is less than 1" such correction may be achieved by cutting off a slight portion of the root portion 2 in the region of said root. portion on the same side of the axis of symmetry as tine 1. This serves to decrease the portion of the spring constant of the root portion contributing to the value of K',. Although the effect on K is slight, f can be made equal to 1",. Several methods of cutting root portion 2 are illustrated in FIGS. 2-5. In FIGS. 2 and 3, the cuts are through the entire thickness of the tine portion, with the cut extending obliquely in FIG. 3 and substantially normal to the axis of symmetry in FIG. 2. Similarly, in FIGS. 4 and S, the cuts are in the surface of the root portion, the cut in FIG. 4 lying in a plane which includes the axis of symmetry, the cut in FIG. 5 being oblique to said axis.
The same principle may be adapted for adjusting the frequency of a tuning fork type vibrator to a predetermined value. This adjustment technique requires the formation of the vibrator with a frequency higher than the predetermined value. The root portion 2 of the vibrator is then cut an amount sufficient to reduce the frequency to the desired value. Such a cut is made symmetrically relative to the axis of symmetry of the vibrator as illustrated in FIGS. 6-8. In the embodiments of FIGS. 6 8, an oblique cut is made in the root portion 2. In FIGS. 6 and 8, the cut is uniform across the entire width of the root portion, while in FIG. 7, an arcuate oblique cut is formed in the central region of the root portion.
The balance adjustment and the frequency adjustment in accordance with the invention can be carried out in the same tuning fork type vibrator. Thus, the balance of a vibrator may be adjusted in accordance with the method illustrated in FIG. 2 while the frequency is adjusted by the method of FIG. 8. Similarly, the balance adjustment of FIG. 3 may be performed in conjunction with the frequency adjustment of FIG. 7; the balance adjustment of FIG. 4 can be made in conjunction with the frequency adjustment of FIGS. 6 8; and the balance adjustment of FIG. 5 may be made in conjunction with the frequency adjustment of FIGS. 6 8.
If the root portion 2 is formed as shown in FIGS. 9 and 10, the balance adjustment can be performed by cutting portions a or b while the frequency adjustment can be made by cutting the portion 0.
As illustrated in FIGS. 11 and 12, where the thickness t of the root portion of the vibrator is not uniform,
frequency adjustment can still be achieved by the symmetrical cutting away of portions of the root portion. The essential feature of this frequency adjustment in accordance with the invention is the cutting away of portions of root portion 2 so as to decrease the flexural rigidity (spring constant) of said root portion.
The method in accordance with the invention offers substantial advantages over the prior art. Thus, in the case of a vibrator having a frequency of 500 Hz, the size of vibrators incorporated in wrist watches, a frequency adjustment of 2-3 I-Iz may be achieved by cutting away about 0.05-0.1 mm. of the thickness r of root portion 2. By application of precision cutting techniques, the frequency of the vibrator can be shifted to the predetermined frequency. The range of adjustment permitted by the method in accordance with the invention is broad as compared with the prior art method of cutting the masses carried by the free end of the tines. Similarly, more precise adjustment of frequency can be achieved by the method in accordance with the invention as compared with the method of cutting the tines, the methodin accordance with the invention not requiring uniform cuts of the tines, and having a minimum effect on the Q-value of the vibrator.
The method in accordance with the invention can also be applied to other vibrators using the tuning fork vibrator as a base, such as the tuning ring vibrator, a special tuning fork vibrator, or a trifurcated tuning fork type vibrator.
It will thus be seen that the objects set forth above, among those made apparent from the preceding description, are efficiently attained and, since certain changes may be made in carrying out the above method without departing from the spirit and scope of the invention, it is intended that all matter contained in the above description shall be interpreted as illustrative and not in a limiting sense.
It is also to be understood that the following claims are intended to cover all of the generic and specific features of the invention herein described, and all statements of the scope of the invention which, as a matter of language, might be said to fall therebetween.
What is claimed is:
l. A method of adjusting the frequency of a tuning fork type vibrator comprising the steps of forming a tuning fork type vibrator having a root portion of a thickness not more than three times the thickness of the region of the tines adjacent said root portion, said vibrator being formed with a frequency higher than the desired predetermined frequency; and cutting away symmetrical portions of said root portion relative to the axis of symmetry of said vibrator until the actual frequency of said vibrator is substantially equal to said predetermined frequency.
2. The method of claim 1, including the further step of balancing said vibrator by cutting away portions of said root portion on the same side of said axis of symmetry as the tine having the higher frequency until the frequencies of the two tines are substantially equal.
3. The method of balancing the frequency of a tuning fork type vibrator comprising the step of cutting away portions of the root portion of the vibrator on the same side of the axis of symmetry of said vibrator as the tine having the higher frequency until the frequencies of said tines are substantially equal.

Claims (3)

1. A method of adjusting the frequency of a tuning fork type vibrator comprising the steps of forming a tuning fork type vibrator having a root portion of a thickness not more than three times the thickness of the region of the tines adjacent said root portion, said vibrator being formed with a frequency higher than the desired predetermined frequency; and cutting away symmetrical portions of said root portion relative to the axis of symmetry of said vibrator until the actual frequency of said vibrator is substantially equal to said predetermined frequency.
2. The method of claim 1, including the further step of balancing said vibrator by cutting away portions of said root portion on the same side of said axis of symmetry as the tine having the higher frequency until the frequencies of the two tines are substantially equal.
3. The method of balancing the frequency of a tuning fork type vibrator comprising the step of cutting away portions of the root portion of the vibrator on the same side of the axis of symmetry of said vibrator as the tine having the higher frequency until the frequencies of said tines are substantially equal.
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Cited By (11)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3833999A (en) * 1972-01-24 1974-09-10 Bunker Ramo Method of adjusting frequency of vibrator structure
US3851385A (en) * 1971-12-24 1974-12-03 Diehl Method of adjusting the frequency of transverse vibrators having a plurality of legs
US4037121A (en) * 1975-03-31 1977-07-19 Murata Manufacturing Co., Ltd. Piezoelectrically driven tuning fork with harmonic suppression
US5682128A (en) * 1996-04-23 1997-10-28 Illinois Superconductor Corporation Superconducting reentrant resonator
US6894584B2 (en) 2002-08-12 2005-05-17 Isco International, Inc. Thin film resonators
US6915756B1 (en) * 1999-10-22 2005-07-12 Australian Bell Pty Ltd. Bells
US20070227243A1 (en) * 2003-12-18 2007-10-04 Endress + Hauser Gmbh + Co. Kg Method and Apparatus for Manufacturing a Measuring Device for
US7523537B1 (en) * 2000-07-13 2009-04-28 Custom Sensors & Technologies, Inc. Method of manufacturing a tuning fork with reduced quadrature errror and symmetrical mass balancing
US20100302752A1 (en) * 2009-06-02 2010-12-02 Lg Innotek Co., Ltd. Dual mode vibrator
US10459405B2 (en) * 2014-05-05 2019-10-29 The Swatch Group Research And Development Ltd. Tuning fork mechanical oscillator for clock movement
US10777182B2 (en) * 2018-10-23 2020-09-15 John Taylor Bell Foundry (Loughborough) Limited Bell and a method of designing a bell

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US1831638A (en) * 1929-05-03 1931-11-10 Rca Corp Air driven tuning fork
US1912343A (en) * 1932-01-23 1933-05-30 Western Union Telegraph Co Tuning fork temperature compensation and frequency adjustment
US2806400A (en) * 1954-03-10 1957-09-17 Philamon Lab Inc Tuning forks
US3106124A (en) * 1961-07-21 1963-10-08 Melpar Inc Tuning forks
US3506897A (en) * 1966-07-04 1970-04-14 Clifford Cecil F Tuning fork with frequency adjustment

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US1831638A (en) * 1929-05-03 1931-11-10 Rca Corp Air driven tuning fork
US1912343A (en) * 1932-01-23 1933-05-30 Western Union Telegraph Co Tuning fork temperature compensation and frequency adjustment
US2806400A (en) * 1954-03-10 1957-09-17 Philamon Lab Inc Tuning forks
US3106124A (en) * 1961-07-21 1963-10-08 Melpar Inc Tuning forks
US3506897A (en) * 1966-07-04 1970-04-14 Clifford Cecil F Tuning fork with frequency adjustment

Cited By (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3851385A (en) * 1971-12-24 1974-12-03 Diehl Method of adjusting the frequency of transverse vibrators having a plurality of legs
US3833999A (en) * 1972-01-24 1974-09-10 Bunker Ramo Method of adjusting frequency of vibrator structure
US4037121A (en) * 1975-03-31 1977-07-19 Murata Manufacturing Co., Ltd. Piezoelectrically driven tuning fork with harmonic suppression
US5682128A (en) * 1996-04-23 1997-10-28 Illinois Superconductor Corporation Superconducting reentrant resonator
US6915756B1 (en) * 1999-10-22 2005-07-12 Australian Bell Pty Ltd. Bells
US7523537B1 (en) * 2000-07-13 2009-04-28 Custom Sensors & Technologies, Inc. Method of manufacturing a tuning fork with reduced quadrature errror and symmetrical mass balancing
US6894584B2 (en) 2002-08-12 2005-05-17 Isco International, Inc. Thin film resonators
US20070227243A1 (en) * 2003-12-18 2007-10-04 Endress + Hauser Gmbh + Co. Kg Method and Apparatus for Manufacturing a Measuring Device for
US7934414B2 (en) * 2003-12-18 2011-05-03 Endress + Hauser Gmbh + Co. Kg Method and apparatus for manufacturing a measuring device for determining and/or monitoring a process variable and measuring device
US20100302752A1 (en) * 2009-06-02 2010-12-02 Lg Innotek Co., Ltd. Dual mode vibrator
US8461969B2 (en) * 2009-06-02 2013-06-11 Lg Innotek Co., Ltd. Dual mode vibrator
US10459405B2 (en) * 2014-05-05 2019-10-29 The Swatch Group Research And Development Ltd. Tuning fork mechanical oscillator for clock movement
US10777182B2 (en) * 2018-10-23 2020-09-15 John Taylor Bell Foundry (Loughborough) Limited Bell and a method of designing a bell

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