US1908572A - Disk-shaped piezo-electric oscillator - Google Patents

Disk-shaped piezo-electric oscillator Download PDF

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Publication number
US1908572A
US1908572A US577029A US57702931A US1908572A US 1908572 A US1908572 A US 1908572A US 577029 A US577029 A US 577029A US 57702931 A US57702931 A US 57702931A US 1908572 A US1908572 A US 1908572A
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Prior art keywords
disk
oscillator
shaped piezo
elasticity
electric oscillator
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Expired - Lifetime
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US577029A
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Straubel Harald
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Carl Zeiss SMT GmbH
Carl Zeiss AG
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Carl Zeiss SMT GmbH
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    • 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
    • H03H9/17Constructional features of resonators consisting of piezoelectric or electrostrictive material having a single resonator
    • H03H9/19Constructional features of resonators consisting of piezoelectric or electrostrictive material having a single resonator consisting of quartz

Definitions

  • the piezo-electric oscillators (or resonators) generally used in technics are circular or rectangular disks.
  • the invention aims at providing a new means which overcomes the said irregularity.
  • This new means consists in giving the oscillator a form which compensates the disparities of the modulus of elasticity existing in the different directions.
  • the frequencies are direct proportional to the square roots of the moduli of elastlcity and inversely proportional to the diameter lengths and, as a consequence, the frequency can be given an ample independence of the direction by making the lengths of these diameters proportional to the square roots of the moduli of elasticity.
  • the resulting form of the disk represents a centre figure, in other words a figure containing a point which bisects all straight lines passing through it and having their end points at the edge of the disk.
  • the conditions of vibration of the described disk-shaped oscillator are especially favourable when the frequency of the vibrations in the diameter directions is equal to the frequency of the vibration perpendicular thereto (thickness vibration) or when one of these kinds of vibration represents a higher harmonical of the other.
  • Figure 1 is a view and Figure 2 a cross section through line 22 in Figure 1.
  • the oscillator is given such a form that all straight lines passing through the point A (some of which are indicated by dots) are bisected by this point A.
  • the halves a a of these straight lines have such lengths that they are proportional to the square roots of the moduli of elasticity in the respective directions.
  • the thickness 7 which is shown in Figure 2, has such a dimension that the ratio of the thickness h and the square root of the modulus of elasticity in the thickness direction is an even multiple of the ratio of any of the lengths a and the square root of the modulus of elasticity in the respective direction.
  • the frequency of the thickness vibration is a higher harmonical of the frequency of the oscillations in the directions a.
  • the oscillator shown in the drawing is a so-called Curie cut, that is to say an oscillator cut out of a crystal in such a manner that the electric axis is at right angles to the plane of the drawing in Figure l and that the optical as well as the crystallographic axis lie in this plane.
  • a disk-shaped piezo-electric oscillator or resonator the plane bounding surfaces of this oscillator or resonator forming a figure in which all straight lines passing through a point in the said figure are bisected by this point, the lengths of the said straight lines from the said point to the edge of the figure being proportional to the square roots of the moduli of elasticity in the respective directions.
  • the thickness having such a dimension that the ratio of the thickness and the square root of the modulus of elasticity in the thickness direction is an even multiple of the ratio of any of the said lengths and the square root of the modulus of elasticity in the respective direc tion.

Description

May 9, 1933. H STRAUBEL 1,908,572
DISK SHAPED PIEZO ELECTRIC OSCILLATOR Filed Nov. 24, 1931 f o 7 lg yilultldllmllllmlawl a;
Patented May 9, 1933 HARALD STRAUBEL, OF JENA, GERMANY,
PATENT OFFIE ASSIGNOR TO THE FIRM CARL ZEISS, OF
JENA, GERMANY DISK-SHAPED PIEZO-ELECTRIG OSCILLATOR Application filed November 24, 1931, Serial No. 577,029, and in Germany December 2, 1930.
The piezo-electric oscillators (or resonators) generally used in technics are circular or rectangular disks.
As the modulus of elasticity is governed by the direction, the frequencies of oscillators of this kind are not uniform in the plane of the disk, which is proved for instance by the irregularity in the vibration of the surfaces of such disks.
Uniform frequencies being of advantage in some kinds of application of such oscillators, the invention aims at providing a new means which overcomes the said irregularity.
This new means consists in giving the oscillator a form which compensates the disparities of the modulus of elasticity existing in the different directions.
In the diflerent directions of diameter, the frequencies are direct proportional to the square roots of the moduli of elastlcity and inversely proportional to the diameter lengths and, as a consequence, the frequency can be given an ample independence of the direction by making the lengths of these diameters proportional to the square roots of the moduli of elasticity.
The resulting form of the disk represents a centre figure, in other words a figure containing a point which bisects all straight lines passing through it and having their end points at the edge of the disk.
It can be proved by way of experiment that the desired effect is obtained to a great extent.
The conditions of vibration of the described disk-shaped oscillator are especially favourable when the frequency of the vibrations in the diameter directions is equal to the frequency of the vibration perpendicular thereto (thickness vibration) or when one of these kinds of vibration represents a higher harmonical of the other.
The accompanying drawing, which illustrates an example of the invention, shows an oscillator of quartz. Figure 1 is a view and Figure 2 a cross section through line 22 in Figure 1.
As shown in- Figure 1, the oscillator is given such a form that all straight lines passing through the point A (some of which are indicated by dots) are bisected by this point A. The halves a a of these straight lines have such lengths that they are proportional to the square roots of the moduli of elasticity in the respective directions. The thickness 7), which is shown in Figure 2, has such a dimension that the ratio of the thickness h and the square root of the modulus of elasticity in the thickness direction is an even multiple of the ratio of any of the lengths a and the square root of the modulus of elasticity in the respective direction. Hence the frequency of the thickness vibration is a higher harmonical of the frequency of the oscillations in the directions a.
The oscillator shown in the drawing is a so-called Curie cut, that is to say an oscillator cut out of a crystal in such a manner that the electric axis is at right angles to the plane of the drawing in Figure l and that the optical as well as the crystallographic axis lie in this plane.
I claim:
1. A disk-shaped piezo-electric oscillator or resonator, the plane bounding surfaces of this oscillator or resonator forming a figure in which all straight lines passing through a point in the said figure are bisected by this point, the lengths of the said straight lines from the said point to the edge of the figure being proportional to the square roots of the moduli of elasticity in the respective directions.
2. In a disk-shaped piezo-electric oscillator or resonator according to claim 1, the thickness having such a dimension that the ratio of the thickness and the square root of the modulus of elasticity in the thickness direction is an even multiple of the ratio of any of the said lengths and the square root of the modulus of elasticity in the respective direc tion.
HARALD STRAUBEL.
US577029A 1930-12-03 1931-11-24 Disk-shaped piezo-electric oscillator Expired - Lifetime US1908572A (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
DE530582T 1930-12-03

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US1908572A true US1908572A (en) 1933-05-09

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DE (1) DE530582C (en)

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DE530582C (en) 1931-07-30

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