JPS6064516A - Combined crystal resonator - Google Patents

Combined crystal resonator

Info

Publication number
JPS6064516A
JPS6064516A JP17338883A JP17338883A JPS6064516A JP S6064516 A JPS6064516 A JP S6064516A JP 17338883 A JP17338883 A JP 17338883A JP 17338883 A JP17338883 A JP 17338883A JP S6064516 A JPS6064516 A JP S6064516A
Authority
JP
Japan
Prior art keywords
cut angle
mode
crystal resonator
resonance frequency
frequency
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
JP17338883A
Other languages
Japanese (ja)
Other versions
JPH0329204B2 (en
Inventor
Hirofumi Kawashima
宏文 川島
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Seiko Instruments Inc
Original Assignee
Seiko Instruments Inc
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Seiko Instruments Inc filed Critical Seiko Instruments Inc
Priority to JP17338883A priority Critical patent/JPS6064516A/en
Publication of JPS6064516A publication Critical patent/JPS6064516A/en
Publication of JPH0329204B2 publication Critical patent/JPH0329204B2/ja
Granted legal-status Critical Current

Links

Classifications

    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03HIMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H9/00Networks comprising electromechanical or electro-acoustic devices; Electromechanical resonators
    • H03H9/15Constructional features of resonators consisting of piezoelectric or electrostrictive material
    • H03H9/21Crystal tuning forks
    • H03H9/215Crystal tuning forks consisting of quartz

Landscapes

  • Chemical & Material Sciences (AREA)
  • Crystallography & Structural Chemistry (AREA)
  • Physics & Mathematics (AREA)
  • Acoustics & Sound (AREA)
  • Piezo-Electric Or Mechanical Vibrators, Or Delay Or Filter Circuits (AREA)

Abstract

PURPOSE:To obtain a crystal resonator with excellent frequency temperature characteristic by applying the theoretical analysis as to a combined crystal resonator where the bending mode and the twist mode oscillation are combined. CONSTITUTION:The relation among a resonance frequency (f) obtained from the combination of the bending mode and the twist mode, a resonance frequency fF of the bending mode and a resonance frequency fT of the twist mode is expressed in Equation (1). The primary - ternary temperature coefficients are obtained by the Taylor expansion of the resonance frequency (f), resulting that a cut angle where both the primary temperature coefficient alpha and the secondary temperature coefficient beta are both zero even at a cut angle of nearly -50 deg. exists. Although the cut angle is varied slightly with the size of the resonator or the like, both alpha and beta are zero at the cut angle within the range between -40 deg. and -60 deg..

Description

【発明の詳細な説明】 本発明は屈曲モードと捩りモード振動が結合した結合水
晶振動子の切断角度に関する。本発明は屈曲、捩シ水晶
振動子の周波数温度特性に優した新カット角を提案する
ものである。腕時計用振動子として音叉廃屈曲水晶撮動
子が一般的に使用さnている。しかし、このタイプの振
動子は周波数温度特性が2次曲線で表わさnるため広い
温度範囲に互って零温度係数を与えることが出来ず、時
間精鹿に限界があった。そこで、最近は特開昭55−7
5326で見らnるように、屈曲モードに捩シモードを
結合させ、屈曲モードの周波数温度特性を改善し、優n
た周波数温度特性を得ている。そして、この5rした周
波数温度特性を与えるカット角は音叉の辺比によって若
干異なるが約−10°付近が使用さTしている。X発明
はこjLら従来の屈曲、捩n振動子の研究する中で、上
記カット角以外にも周波数温度特性に優7した新カット
角が存在することを見い出し′fc。以下、本発明につ
いて詳細に説明する。
DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a cutting angle of a coupled crystal resonator in which bending mode and torsional mode vibration are coupled. The present invention proposes a new cut angle that is superior to the frequency-temperature characteristics of bent and torsional crystal resonators. A bent crystal camera without a tuning fork is generally used as a vibrator for a wristwatch. However, since the frequency-temperature characteristic of this type of vibrator is represented by a quadratic curve, it is impossible to provide a zero temperature coefficient over a wide temperature range, and there is a limit to the time sensitivity. Therefore, recently, JP-A-55-7
As seen in 5326, the torsional mode is combined with the bending mode to improve the frequency-temperature characteristics of the bending mode.
The frequency-temperature characteristics are obtained. The cut angle that provides this 5r frequency-temperature characteristic varies slightly depending on the side ratio of the tuning fork, but around -10[deg.] is used. While researching conventional bending and torsional oscillators, X Invention discovered that there is a new cut angle that has superior frequency-temperature characteristics in addition to the above-mentioned cut angles. The present invention will be explained in detail below.

水晶振動子、特に、屈曲モードに捩シモードを結合させ
、この周波数温度特性の挙動を理論的に解析する試みは
未だ行なわ扛ていない。そこで、本発明は屈曲モードと
捩9モードの結合した屈曲、捩り水晶振動子について理
論解析を行ない、特に、振動子の寸法、カット角に対す
る周波数温度特性の関係全調査した。今、屈曲モードの
共振周波数をf y、捩りモードの共振周波数をfでと
すると屈曲モードに捩シモード撮動が結合して得らnる
共振周波数fは次式のようになる。
No attempt has yet been made to theoretically analyze the behavior of the frequency-temperature characteristics of a crystal resonator, especially by coupling the torsion mode to the bending mode. Therefore, the present invention conducted a theoretical analysis of a bending and torsional crystal resonator in which a bending mode and a torsional 9 mode are combined, and in particular, investigated the relationship between frequency temperature characteristics with respect to the dimensions and cut angle of the vibrator. Now, assuming that the resonant frequency of the bending mode is f y and the resonant frequency of the torsional mode is f, the resonant frequency f obtained by combining the bending mode and the torsional mode imaging is given by the following equation.

f!τ) −(1) 但し、Vは無次元の値、Cは弾性結合因子本発明は(1
)式より、共振周波数fのティラー展開によフ、−次、
二次、三次温度係数をめている。第1図は本発明の音叉
型屈曲捩りモード水晶振動子の結晶軸との関係を示し、
音叉形状はz板から形成さn、音叉腕の長さt1腕幅W
1板厚tとからなっている。又、X軸の壕わシの回転は
反時計方向を正とし、時計方向を負とする。第2図は理
論解析によって得らnた結果で、W=0.35鰭、L=
0−95wmで厚みtt−最適値にしたときの一次温度
係数αが零となる、カット角θによる二次温度係数βの
関係を示し、カット角−10°付近でα、βともに零に
なシ、こnが従来見い出さn使用さ扛ているカット角で
あシ、第2図から明らかなように、カット角が一50°
付近にもα。
f! τ) −(1) However, V is a dimensionless value, and C is an elastic coupling factor.
), the Tiller expansion of the resonant frequency f gives f, -th,
The second and third order temperature coefficients are calculated. FIG. 1 shows the relationship with the crystal axis of the tuning fork type bending torsion mode crystal resonator of the present invention,
The shape of the tuning fork is formed from the Z plate n, the length of the tuning fork arm is t1, the width of the arm is W
1 plate thickness t. Further, regarding the rotation of the trench on the X axis, the counterclockwise direction is positive and the clockwise direction is negative. Figure 2 shows the results obtained by theoretical analysis, W = 0.35 fin, L =
The relationship between the thickness tt and the secondary temperature coefficient β depending on the cut angle θ is shown in which the first temperature coefficient α becomes zero when the thickness tt is set to the optimum value at 0-95wm, and both α and β become zero at around the cut angle of −10°. This is the cut angle that is conventionally used.As is clear from Figure 2, the cut angle is 150°.
There is also α nearby.

βが同時に零となるカット角が存在することが分かる。It can be seen that there is a cut angle where β becomes zero at the same time.

又、このカット角は振動子の寸法等によって若干変化す
るが、本発明では、たとえ寸法を変えても、カット角が
一40°〜−60°の範囲内であnばα、βを常に零に
することが小米る。以上、述べたように、本発明は屈曲
モードと捩りモード振動の結合した結合水晶振動子につ
いて理論解析を行ない。その結果、周波数温度特性に優
Iした水晶振動子を提供できる、新カット角を見い出し
た。
Furthermore, this cut angle varies slightly depending on the dimensions of the vibrator, etc., but in the present invention, even if the dimensions are changed, if the cut angle is within the range of 40° to -60°, then α and β can always be maintained. It is possible to make it zero. As described above, the present invention performs a theoretical analysis of a coupled crystal resonator in which bending mode and torsional mode vibrations are coupled. As a result, we discovered a new cut angle that can provide a crystal resonator with excellent frequency-temperature characteristics.

【図面の簡単な説明】[Brief explanation of drawings]

第1図は音叉型水晶振動子と結晶軸との関係を示す。 坑2図は一次温度係数αが零のときのカット角θと二次
温度係数βとの関係を示す。 t==叉腕長さ W=音音叉輻 幅==叉板厚 以上 出願人 株式会社第二精工舎 代理人 弁理士最上 務
FIG. 1 shows the relationship between a tuning fork type crystal resonator and the crystal axis. Diagram 2 shows the relationship between the cut angle θ and the secondary temperature coefficient β when the primary temperature coefficient α is zero. t==Fork arm length W=Tuning fork width==Fork plate thickness or more Applicant Daini Seikosha Co., Ltd. Agent Patent attorney Tsutomu Mogami

Claims (1)

【特許請求の範囲】[Claims] 屈曲モードと捩シモード振動が結合した結合水晶振動子
に於いて、前記水晶振動子は2板tl−x軸を回転軸と
して一40°〜−60°回転した板よシ加工さnている
ことを特徴とする結合水晶振動子。
In a coupled crystal resonator in which bending mode and torsional mode vibration are combined, the crystal resonator is processed into two plates rotated by 140° to -60° with the tl-x axis as the rotation axis. A coupled crystal oscillator featuring:
JP17338883A 1983-09-20 1983-09-20 Combined crystal resonator Granted JPS6064516A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP17338883A JPS6064516A (en) 1983-09-20 1983-09-20 Combined crystal resonator

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP17338883A JPS6064516A (en) 1983-09-20 1983-09-20 Combined crystal resonator

Publications (2)

Publication Number Publication Date
JPS6064516A true JPS6064516A (en) 1985-04-13
JPH0329204B2 JPH0329204B2 (en) 1991-04-23

Family

ID=15959472

Family Applications (1)

Application Number Title Priority Date Filing Date
JP17338883A Granted JPS6064516A (en) 1983-09-20 1983-09-20 Combined crystal resonator

Country Status (1)

Country Link
JP (1) JPS6064516A (en)

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS63202112A (en) * 1987-02-17 1988-08-22 Seiko Electronic Components Ltd Coupling crystal vibrator
JPS63202113A (en) * 1987-02-17 1988-08-22 Seiko Electronic Components Ltd Coupling crystal vibrator
US9331602B2 (en) 2013-10-15 2016-05-03 Seiko Epson Corporation Vibrator, oscillator, electronic device, and moving object
JP2017536012A (en) * 2014-10-03 2017-11-30 テクノロギアン トゥトキムスケスクス ヴェーテーテー オイ Temperature compensated beam resonator

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS56123116A (en) * 1980-03-04 1981-09-28 Citizen Watch Co Ltd Tuning fork type quartz oscillator
JPS57203313A (en) * 1981-06-09 1982-12-13 Seiko Instr & Electronics Ltd Tuning fork type quartz oscillator
JPS5857812A (en) * 1981-10-02 1983-04-06 Seiko Instr & Electronics Ltd Tuning fork type bending crystal oscillator

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS56123116A (en) * 1980-03-04 1981-09-28 Citizen Watch Co Ltd Tuning fork type quartz oscillator
JPS57203313A (en) * 1981-06-09 1982-12-13 Seiko Instr & Electronics Ltd Tuning fork type quartz oscillator
JPS5857812A (en) * 1981-10-02 1983-04-06 Seiko Instr & Electronics Ltd Tuning fork type bending crystal oscillator

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS63202112A (en) * 1987-02-17 1988-08-22 Seiko Electronic Components Ltd Coupling crystal vibrator
JPS63202113A (en) * 1987-02-17 1988-08-22 Seiko Electronic Components Ltd Coupling crystal vibrator
US9331602B2 (en) 2013-10-15 2016-05-03 Seiko Epson Corporation Vibrator, oscillator, electronic device, and moving object
JP2017536012A (en) * 2014-10-03 2017-11-30 テクノロギアン トゥトキムスケスクス ヴェーテーテー オイ Temperature compensated beam resonator

Also Published As

Publication number Publication date
JPH0329204B2 (en) 1991-04-23

Similar Documents

Publication Publication Date Title
US4771202A (en) Tuning fork resonator
JPH0232807B2 (en)
JPH027207B2 (en)
JP3096472B2 (en) SC-cut crystal unit
US4926086A (en) Piezoelectric resonator
JPS6064516A (en) Combined crystal resonator
US6534897B2 (en) Surface acoustic wave device
Onoe et al. Miniature AT-cut strip resonators with tilted edges
US4631437A (en) Stress compensated piezoelectric crystal device
JPS6357967B2 (en)
JP3194442B2 (en) SC-cut crystal unit
JPS5912810Y2 (en) piezoelectric vibrator
JPS5838015A (en) Piezoelectric oscillator
JP2813996B2 (en) 3rd overtone AT-cut crystal unit
JPS63202113A (en) Coupling crystal vibrator
JPS5824503Y2 (en) Width-slip crystal oscillator
JPS63173412A (en) Leaky saw resonator
JP3135286B2 (en) Torsional crystal oscillator
JP3260402B2 (en) Torsional crystal oscillator
JPS5837150Y2 (en) piezoelectric crystal resonator
JPS59182617A (en) Lithium tantalate oscillator
JPH01152809A (en) Piezoelectric vibrator
JPS5838651Y2 (en) crystal oscillator
JPS59135916A (en) Coupling tuning fork type crystal oscillator
JPS587702Y2 (en) Width-slip crystal oscillator