CN101111098B - Sandwich type radial direction vibrating piezoelectric ceramic ultrasonic transducer - Google Patents

Abstract

The present invention relates to a radial vibration sandwich piezoelectric ceramic ultrasonic transducer. A piezoelectric ceramic ring is arranged between a metal inner ring and a metal outer ring, the upper end surfaces of the metal inner ring, the metal outer ring and the piezoelectric ceramic ring are in the same plane, and lower end surfaces are also in the same plane. The metal inner ring and the metal outer ring can adopt steel rings, aluminum rings, brass or purple copper rings, titanium rings, aluminum nickel copper alloy rings and titanium alloy rings. The present invention realizes the high efficiency work of a radial composite transducer through a radial prestress impressed by the inner and outer metal rings, and realizes the parameter optimization of the transducer through reasonably designing the geometry size of the inner and outer metal rings simultaneously, such as resonance frequency, frequency bandwidth as well as electromechanical coupling coefficient. The present invention can be used for the high efficiency omni-directional acoustic source underwater and all kinds of supersonic processing high efficiency supersonic source in liquid.

Description

Sandwich type radial direction vibrating piezoelectric ceramic ultrasonic transducer

Technical field

The invention belongs to the generation of infrasonic frequency, audio frequency or the supersonic frequency mechanical oscillation finishing the common mechanical operation and use or the method or the equipment technical field of transmission, be specifically related to inferior electrical effect or with generation infrasonic frequency, audio frequency or the supersonic frequency mechanical vibration method or the equipment of electrostriction work.

Background technology

In ultrasonic and underwater acoustic technology field, using wider is extensional vibration sandwich piezoelectric ceramic ultrasonic transducer, the primary structure of extensional vibration sandwich piezoelectric ceramic ultrasonic transducer is at the middle part of pre-stressed bolt piezoelectric ceramic piece to be set, and an end of pre-stressed bolt is provided with the metal bezel plate, the other end is provided with the metal back cover plate.Electromechanical conversion efficiency height, the power capacity of extensional vibration sandwich piezoelectric ceramic ultrasonic transducer are big, are mainly used in ultrasonic cleaning, ultrasonic metal and Plastic Welding and Ultrasonic machining etc.But, have the following disadvantages because theory of extensional vibration sandwich piezoelectric ceramic ultrasonic transducer own and structure are limit:

Extensional vibration sandwich ultrasonic transducer can only be realized the single degree of freedom direction radiation of ultrasonic energy, and promptly the emittance of transducer is the y direction along transducer basically, can not realize 360 degree space omnidirectional radiation of ultrasonic energy.

It is 1/4th of the diameter wave length of sound that can not surpass the radiation of transducer institute that the design theory of extensional vibration sandwich ultrasonic transducer requires the lateral dimension of transducer, therefore the acoustic irradiation area of extensional vibration sandwich ultrasonic transducer is subjected to the restriction of self theory, can not surpass certain limit, greatly limit the acoustic irradiation power of extensional vibration sandwich ultrasonic transducer.

Because the restriction of swept area, under the situation than large radiation power, the sound intensity of transducer is also very big, thereby causes vibration velocity, vibration displacement and the longitudinal stress of transducer inside also very big, sometimes surpass the strong mechanical constraints of material, cause the fracture or the damage of transducer.Thereby this type of transducer is very strict for the requirement of transducer material.

The radial vibration transducer, for example the piezoelectric ceramic ring of radial vibration or cylinder etc. can be realized this purpose.But because the tensile strength of piezoceramic material itself is limited, thereby single radial direction vibrating piezoelectric ceramic transducer (pipe or annulus etc.) is difficult to the radiant power and the radiation intensity that reach certain, thereby also be difficult to satisfy the needs of some high-power acoustic applications, the large power supersonic source etc. that for example is used for the high-power omnidirectional sound source of marine acoustics research under water and is used for the various sonicated of liquid.

Summary of the invention

Technical problem to be solved by this invention is to overcome the shortcoming of above-mentioned sandwich longitudinal ultrasonic transducer, and a kind of sandwich type radial direction vibrating piezoelectric ceramic ultrasonic transducer is provided.

Solving the problems of the technologies described above the technical scheme that is adopted is: in metal, between ring and the metal outer shroud piezoelectric ceramic ring is set, the upper surface of the interior ring of metal, metal outer shroud, piezoelectric ceramic ring in same plane, the lower surface is in same plane.Ring and metal outer shroud are any one in steel loop, aluminium ring, brass or red copper ring, titanium ring, aluminium monel ring, the titanium alloy ring in the above-mentioned metal.

Bonding or stationary fit connects the medial surface of the lateral surface of ring and piezoelectric ceramic ring with the high-temperature-resistant epoxy resin binding agent in the metal of the present invention, and bonding or stationary fit connects with the high-temperature-resistant epoxy resin binding agent for the medial surface of metal outer shroud and the lateral surface of piezoelectric ceramic ring.Above-mentioned high-temperature-resistant epoxy resin binding agent is that the superpower glue of supernatural power bell, Switzerland like that the jail reaches any one in omnipotent superpower glue, Holland " wild ox " the superpower glue in epoxide alloy, the omnipotent superpower glue, the superpower glue of supernatural power bell is produced by Hunan Shenli Industrial Co., Ltd., Switzerland likes that the jail reaches omnipotent superpower glue and produced by Shanghai Ao Shi International Trading Company Ltd, Holland's superpower glue in " wild ox " epoxide alloy is produced by Shenzhen Pu Feida wild ox Industrial Co., Ltd., omnipotent superpower glue is full of good development in science and technology Co., Ltd by Shenzhen gold to be produced, and is the commodity of selling on the market.

The D/5 of the outer ring diameter of the height H≤metal of metal outer shroud of the present invention.

Ring and metal outer shroud are the annulus of same metal material in the metal of the present invention.

Piezoelectric ceramic ring of the present invention is the piezoelectric ceramic ring along high degree of polarization.

Operating frequency of the present invention, promptly the resonance frequency of transducer is by the frequency equation decision, resonance frequency is by the material parameter and the physical dimension decision of ring, metal outer shroud and piezoelectric ceramic ring in the metal.After the material of each part of transducer was given, the resonance frequency of transducer was by the physical dimension of ring, metal outer shroud and piezoelectric ceramic ring in the metal, i.e. ring inside radius R in thickness H, the metal ₁, ring outer radius R in the metal ₂, metal outer shroud inside radius R ₃, metal outer shroud outer radius R ₄, piezoelectric ceramic ring inside radius R ₂, piezoelectric ceramic ring outer radius R ₃Decision.The resonance frequency equation formula of transducer of the present invention is as follows:

$\frac{Z_m}{N_{31}^2+\mathrm{j\ω}{C}_{0r}{Z}_m}=0---\left(1\right)$

In (1) formula, the formula that embodies of each parameter is:

$Z_m=Z_{3p}+\frac{(Z_{1p}+n_1^2{Z}_{\mathrm{mr}1})(Z_{2p}+n_2^2{Z}_{\mathrm{mr}3})}{Z_{1p}+n_1^2{Z}_{\mathrm{mr}1}+Z_{2p}+n_2^2{Z}_{\mathrm{mr}3}}---\left(2\right)$

$Z_{\mathrm{mr}1}=Z_{2m}+\frac{Z_{1m}{Z}_{3m}}{Z_{1m}+Z_{3m}}---\left(3\right)$

$Z_{\mathrm{mr}3}=Z_{4m}+\frac{Z_{6m}{Z}_{5m}}{Z_{6m}+Z_{5m}}---\left(4\right)$

$Z_{1p}=\frac{{\mathrm{\π}}^2{\left(k_{r0}{R}_3\right)}^2{Z}_{02}}{4j}[\frac{Y_1\left(k_{r0}{R}_3\right)J_0\left(k_{r0}{R}_2\right)-J_1\left(k_{r0}{R}_3\right)Y_0\left(k_{r0}{R}_2\right)}{J_1\left(k_{r0}{R}_3\right)Y_1\left(k_{r0}{R}_2\right)-J_1\left(k_{r0}{R}_2\right)Y_1\left(k_{r0}{R}_3\right)}+\frac{1-v_{12}}{k_{r0}{R}_2}]$ ?(5)

$-j\frac{Z_{02}}{2}\·\frac{\mathrm{\π}{k}_{r0}{R}_3}{J_1\left(k_{r0}{R}_3\right)Y_1\left(k_{r0}{R}_2\right)-J_1\left(k_{r0}{R}_2\right)Y_1\left(k_{r0}{R}_3\right)}$

$Z_{2p}=\frac{{\mathrm{\π}}^2{\left(k_{r0}{R}_2\right)}^2{Z}_{03}}{4j}[\frac{Y_1\left(k_{r0}{R}_2\right)J_0\left(k_{r0}{R}_3\right)-J_1\left(k_{r0}{R}_2\right)Y_0\left(k_{r0}{R}_3\right)}{J_1\left(k_{r0}{R}_3\right)Y_1\left(k_{r0}{R}_2\right)-J_1\left(k_{r0}{R}_2\right)Y_1\left(k_{r0}{R}_3\right)}-\frac{1-v_{12}}{k_{r0}{R}_3}]$ ?(6)

$-j\frac{Z_{03}}{2}\·\frac{\mathrm{\π}{k}_{r0}{R}_2}{J_1\left(k_{r0}{R}_3\right)Y_1\left(k_{r0}{R}_2\right)-J_1\left(k_{r0}{R}_2\right)Y_1\left(k_{r0}{R}_3\right)}$

$Z_{3p}=j\frac{Z_{02}}{2}\·\frac{\mathrm{\π}{k}_{r0}{R}_3}{J_1\left(k_{r0}{R}_3\right)Y_1\left(k_{r0}{R}_2\right)-J_1\left(k_{r0}{R}_2\right)Y_1\left(k_{r0}{R}_3\right)}---\left(7\right)$

$Z_{1m}=j\frac{2Z_{r1}}{\mathrm{\πk}{R}_1[J_1\left(k{R}_2\right)Y_1\left(k{R}_1\right)-J_1{\left(k{R}_1\right)Y}_1\left({\mathrm{kR}}_2\right)]}\×$

$\left[\frac{J_1\left({\mathrm{kR}}_2\right)Y_0\left({\mathrm{kR}}_1\right)-J_0\left({\mathrm{kR}}_1\right)Y_1\left({\mathrm{kR}}_2\right)-J_1\left({\mathrm{kR}}_1\right)Y_0\left({\mathrm{kR}}_1\right)+J_0\left({\mathrm{kR}}_1\right)Y_1\left({\mathrm{kR}}_1\right)}{J_1\left({\mathrm{kR}}_1\right)Y_0\left(k{R}_1\right)-J_0\left({\mathrm{kR}}_1\right)Y_1\left(k{R}_1\right)}\right]---\left(8\right)$

$-j\frac{2Z_{r1}(1-v)}{\mathrm{\π}{\left(k{R}_1\right)}^2[J_1\left(k{R}_1\right)Y_0\left({\mathrm{kR}}_1\right)-J_0\left(k{R}_1\right)Y_1\left({\mathrm{kR}}_1\right)]};$

$Z_{2m}=j\frac{2Z_{r1}}{\mathrm{\πk}{R}_1[J_1\left(k{R}_2\right)Y_1\left(k{R}_1\right)-J_1{\left(k{R}_1\right)Y}_1\left({\mathrm{kR}}_2\right)]}\×$

$\left[\frac{J_1\left({\mathrm{kR}}_1\right)Y_0\left({\mathrm{kR}}_2\right)-J_0\left({\mathrm{kR}}_2\right)Y_1\left({\mathrm{kR}}_1\right)-J_1\left({\mathrm{kR}}_2\right)Y_0\left({\mathrm{kR}}_2\right)+J_0\left({\mathrm{kR}}_2\right)Y_1\left({\mathrm{kR}}_2\right)}{J_1\left({\mathrm{kR}}_2\right)Y_0\left(k{R}_2\right)-J_0\left({\mathrm{kR}}_2\right)Y_1\left(k{R}_2\right)}\right]---\left(9\right)$

$+j\frac{2Z_{r2}(1-v)}{\mathrm{\π}{\left(k{R}_2\right)}^2[J_1\left(k{R}_2\right)Y_0\left({\mathrm{kR}}_2\right)-J_0\left(k{R}_2\right)Y_1\left({\mathrm{kR}}_2\right)]};$

$Z_{3m}=j\frac{2Z_{r1}}{\mathrm{\πk}{R}_1[J_1\left(k{R}_2\right)Y_1\left(k{R}_1\right)-J_1{\left(k{R}_1\right)Y}_1\left({\mathrm{kR}}_2\right)]}---\left(10\right)$

Z _4m, Z _5m, Z _6mThe formula that embodies and (8), (9), (10) three formulas are similar, unique different need be the R in formula (8), (9), (10) three formulas ₁And R ₂Change R into ₃And R ₄, Z _R1And Z _R2Change z into _R3And Z _R4

Above-mentioned various in, $C_{0r}=\frac{{\mathrm{\ϵ}}_{33}^{T}S}{H}\·[1-\frac{2d_{31}^2}{{\mathrm{\ϵ}}_{33}^T(s_{11}^E+s_{12}^E)}],$ $S=\mathrm{\π}(R_3^2-R_2^2),$ S is the cross-sectional area of piezoelectric ceramic ring,

Be the free dielectric constant of piezoceramic material, d ₃₁It is piezoelectric strain constant. $N_{31}={\mathrm{\π}}^2{k}_{r0}{R}_2{R}_3\·\frac{d_{31}}{s_{11}^E+s_{12}^E},$ k _R0=ω/V _R0, ω=2 π f,

With

It is the elastic compliant coefficient of piezoceramic material. $n_1=\frac{\mathrm{\π}{k}_{r0}{R}_3}{2},$ $n_2=\frac{\mathrm{\π}{k}_{r0}{R}_2}{2},$ Z ₀₂＝ρ ₀V _r0S ₂，Z ₀₃＝ρ ₀V _r0S ₃，Z _r1＝ρV _rS ₁，Z _r2＝ρV _rS ₂，Z _r3＝ρV _rS ₃，Z _r4＝ρV _rS ₄，S ₁＝2πR ₁H，S ₂＝2πR ₂H，S ₃＝2πR ₃H，S ₄＝2πR ₄H， $V_r={\left[\frac{E}{\mathrm{\ρ}(1-v^2)}\right]}^{1/2},$ $V_{r0}={\left[\frac{1}{s_{11}^E{\mathrm{\ρ}}_0(1-v_{12}^2)}\right]}^{1/2},$ ρ is the density of interior ring of metal and the outer ring material of metal, ρ ₀The density of piezoelectric ceramic ring material, E and v are the Young's modulus and the Poisson's ratios of metal material.

The present invention applies a radially prestressing force by ring and metal outer shroud in the metal to piezoelectric ceramic ring, realize the radially high power work of composite transducer, pass through the physical dimension of interior ring of appropriate design metal and metal outer shroud simultaneously, realize the parameter optimization of transducer, for example resonance frequency, frequency bandwidth and electromechanical coupling factor etc.The present invention can be used for the large power supersonic source of various sonicated in high-power omnidirectional sound source and the liquid under water.

Description of drawings

The structural representation of an embodiment of Fig. 1 embodiment of the invention.

Fig. 2 is the vertical view of Fig. 1.

Embodiment

The present invention is described in more detail below in conjunction with embodiment, but the invention is not restricted to these embodiment.

Embodiment 1

Resonance frequency with the preparation transducer is that 65171Hz is an example, and the geometry and the connecting relation of each parts are as follows:

In Fig. 1,2, the sandwich type radial direction vibrating piezoelectric ceramic ultrasonic transducer of present embodiment is made of 3 connections of ring in metal outer shroud 1, piezoelectric ceramic ring 2, the metal.

The lateral surface of ring 3 is bonding with high-temperature-resistant epoxy resin binding agent and piezoelectric ceramic ring 2 in the metal, and the lateral surface of piezoelectric ceramic ring 2 is bonding with the medial surface of high-temperature-resistant epoxy resin binding agent and metal outer shroud 1.The high-temperature-resistant epoxy resin binding agent of present embodiment adopts the superpower glue of supernatural power bell, also can adopt Switzerland to like that the jail reaches omnipotent superpower glue or Holland " wild ox " superpower glue in epoxide alloy or omnipotent superpower glue, ring 3 in piezoelectric ceramic ring 2 and the metal, also can adopt stationary fit to connect with metal outer shroud 1, piezoelectric ceramic ring 2 is the piezoelectric ceramic ring along high degree of polarization, in the metal upper surface of ring 3, metal outer shroud 1, piezoelectric ceramic ring 2 in same plane, the lower surface is in same plane.The inside radius R1 of ring 3 is that 5mm, outer radius R2 are 10mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 15mm, outer radius R4 are that 20mm, height H are 5mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 10mm, outer radius R3 are 15mm.

Ring 3 and metal outer shroud 1 are steel loop in the metal of present embodiment, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is a lead zirconate titanate, and its material parameter is:

ρ ₀＝7500kg/m ³， $s_{11}^E=12.3\×{10}^{-12}{m}^2/N,$ $s_{12}^E=-4.05\×{10}^{-12}{m}^2/N,$ v ₁₂＝0.33，d ₃₁＝-123×10 ^-12C/N， ${\mathrm{\ϵ}}_{33}^T/{\mathrm{\ϵ}}_0=1300,$ ε ₀＝8.842×10 ^-12C ²/(N·m ²)，ρ＝7800kg/m ³，E＝2.09×10 ¹¹N/m ²，v＝0.28。

The resonance frequency that calculates present embodiment by formula (1)～(10) is 65171Hz.Apply a radially prestressing force for piezoelectric ceramic ring 2 by ring 3 in the metal and metal outer shroud 1, can realize high power work of the present invention.

Embodiment 2

Resonance frequency with the preparation transducer is that 55625Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 5mm, outer radius R2 are 10mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 15mm, outer radius R4 are that 25mm, height H are 5mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 10mm, outer radius R3 are 15mm.

Ring 3 and metal outer shroud 1 are steel loop in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is a lead zirconate titanate, and its material parameter is identical with embodiment 1.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 55625Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 3

Resonance frequency with the preparation transducer is that 48603Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 5mm, outer radius R2 are 10mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 15mm, outer radius R4 are that 30mm, height H are 5mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 10mm, outer radius R3 are 15mm.

Ring 3 and metal outer shroud 1 are steel loop in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is a lead zirconate titanate, and its material parameter is identical with embodiment 1.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 48603Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 4

Resonance frequency with the preparation transducer is that 45221Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 10mm, outer radius R2 are 15mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 20mm, outer radius R4 are that 25mm, height H are 10mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 15mm, outer radius R3 are 20mm.

Ring 3 and metal outer shroud 1 are steel loop in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is a lead zirconate titanate, and its material parameter is identical with embodiment 1.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 45221Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 5

Resonance frequency with the preparation transducer is that 40859Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 10mm, outer radius R2 are 15mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 20mm, outer radius R4 are that 30mm, height H are 10mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 15mm, outer radius R3 are 20mm.

Ring 3 and metal outer shroud 1 are steel loop in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is a lead zirconate titanate, and its material parameter is identical with embodiment 1.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 40859Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 6

Resonance frequency with the preparation transducer is that 37220Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 10mm, outer radius R2 are 15mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 20mm, outer radius R4 are that 35mm, height H are 10mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 15mm, outer radius R3 are 20mm.

Ring 3 and metal outer shroud 1 are steel loop in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is a lead zirconate titanate, and its material parameter is identical with embodiment 1.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 37220Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 7

Resonance frequency with the preparation transducer is that 26125Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 15mm, outer radius R2 are 20mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 25mm, outer radius R4 are that 50mm, height H are 20mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 20mm, outer radius R3 are 25mm.

Ring 3 and metal outer shroud 1 are steel loop in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is a lead zirconate titanate, and its material parameter is identical with embodiment 1.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 26125Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 8

Resonance frequency with the preparation transducer is that 59338Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 5mm, outer radius R2 are 10mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 15mm, outer radius R4 are that 20mm, height H are 5mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 10mm, outer radius R3 are 15mm.

In the present embodiment, ring 3 and metal outer shroud 1 are the aluminium ring in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is:

ρ ₀＝7500kg/m ³， $s_{11}^E=12.3\×{10}^{-12}{m}^2/N,$ $s_{12}^E=-4.05\×{10}^{-12}{m}^2/N,$ v ₁₂＝0.33，d ₃₁＝-123×10 ^-12C/N， ${\mathrm{\ϵ}}_{33}^T/{\mathrm{\ϵ}}_0=1300,$ ε ₀＝8.842×10 ^-12C ²/(N·m ²)，ρ＝2700kg/m ³，E＝7.1×10 ¹⁰N/m ²，v＝0.33。

The resonance frequency that calculates present embodiment by formula (1)～(10) is 59338Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 9

Resonance frequency with the preparation transducer is that 40300Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 10mm, outer radius R2 are 15mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 20mm, outer radius R4 are that 25mm, height H are 10mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 15mm, outer radius R3 are 20mm.

In the present embodiment, ring 3 and metal outer shroud 1 are the aluminium ring in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is identical with embodiment 8.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 40300Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 10

Resonance frequency with the preparation transducer is that 51952Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 5mm, outer radius R2 are 10mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 15mm, outer radius R4 are that 20mm, height H are 5mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 10mm, outer radius R3 are 15mm.

In the present embodiment, ring 3 and metal outer shroud 1 are the red copper ring in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is:

ρ ₀＝7500kg/m ³， $s_{11}^E=12.3\×{10}^{-12}{m}^2/N,$ $s_{12}^E=-4.05\×{10}^{-12}{m}^2/N,$ v ₁₂＝0.33，d ₃₁＝-123×10 ^-12C/N， ${\mathrm{\ϵ}}_{33}^T/{\mathrm{\ϵ}}_0=1300,$ ε ₀＝8.842×10 ^-12C ²/(N·m ²)，ρ＝8900kg/m ³，E＝12.4×10 ¹⁰N/m ²，v＝0.35。

The resonance frequency that calculates present embodiment by formula (1)～(10) is 51952Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 11

Resonance frequency with the preparation transducer is that 35321Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 10mm, outer radius R2 are 15mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 20mm, outer radius R4 are that 25mm, height H are 10mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 15mm, outer radius R3 are 20mm.

In the present embodiment, ring 3 and metal outer shroud 1 are the red copper ring in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is identical with embodiment 10.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 35321Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 12

Resonance frequency with the preparation transducer is that 49727Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 5mm, outer radius R2 are 10mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 15mm, outer radius R4 are that 20mm, height H are 5mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 10mm, outer radius R3 are 15mm.

In the present embodiment, ring 3 and metal outer shroud 1 are brass billet in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is:

ρ ₀＝7500kg/m ³， $s_{11}^E=12.3\×{10}^{-12}{m}^2/N,$ $s_{12}^E=-4.05\×{10}^{-12}{m}^2/N,$ v ₁₂＝0.33，d ₃₁＝-123×10 ^-12C/N， ${\mathrm{\ϵ}}_{33}^T/{\mathrm{\ϵ}}_0=1300,$ ε ₀＝8.842×10 ^-12C ²/(N·m ²)，ρ＝8500kg/m ³，E＝10.4×10 ¹⁰N/m ²，v＝0.37。

The resonance frequency that calculates present embodiment by formula (1)～(10) is 49727Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 13

Resonance frequency with the preparation transducer is that 33650Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 10mm, outer radius R2 are 15mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 20mm, outer radius R4 are that 25mm, height H are 10mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 15mm, outer radius R3 are 20mm.

In the present embodiment, ring 3 and metal outer shroud 1 are brass billet in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is identical with embodiment 12.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 33650Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 14

Resonance frequency with the preparation transducer is that 62293Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 5mm, outer radius R2 are 10mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 15mm, outer radius R4 are that 20mm, height H are 5mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 10mm, outer radius R3 are 15mm.

In the present embodiment, ring 3 and metal outer shroud 1 are the titanium ring in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is:

ρ ₀＝7500kg/m ³， $s_{11}^E=12.3\×{10}^{-12}{m}^2/N,$ $s_{12}^E=-4.05\×{10}^{-12}{m}^2/N,$ v ₁₂＝0.33，d ₃₁＝-123×10 ^-12C/N， ${\mathrm{\ϵ}}_{33}^T/{\mathrm{\ϵ}}_0=1300,$ ε ₀＝8.842×10 ^-12C ²/(N·m ²)，ρ＝4520kg/m ³，E＝11.62×10 ¹⁰N/m ²，v＝0.32。

The resonance frequency that calculates present embodiment by formula (1)～(10) is 62293Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 15

Resonance frequency with the preparation transducer is that 42435Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 10mm, outer radius R2 are 15mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 20mm, outer radius R4 are that 25mm, height H are 10mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 15mm, outer radius R3 are 20mm.

In the present embodiment, ring 3 and metal outer shroud 1 are the titanium ring in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is identical with embodiment 14.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 42435Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 16

Resonance frequency with the preparation transducer is that 63230Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 5mm, outer radius R2 are 10mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 15mm, outer radius R4 are that 20mm, height H are 5mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 10mm, outer radius R3 are 15mm.

In the present embodiment, ring 3 and metal outer shroud 1 are titanium alloy (TC6) ring in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is:

ρ ₀＝7500kg/m ³， $s_{11}^E=12.3\×{10}^{-12}{m}^2/N,$ $s_{12}^E=-4.05\×{10}^{-12}{m}^2/N,$ v ₁₂＝0.33，d ₃₁＝-123×10 ^-12C/N， ${\mathrm{\ϵ}}_{33}^T/{\mathrm{\ϵ}}_0=1300,$ ε ₀＝8.842×10 ^-12C ²/(N·m ²)，ρ＝4500kg/m ³，E＝12.07×10 ¹⁰N/m ²，v＝0.32。

The resonance frequency that calculates present embodiment by formula (1)～(10) is 63230Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 17

Resonance frequency with the preparation transducer is that 43098Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 10mm, outer radius R2 are 15mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 20mm, outer radius R4 are that 25mm, height H are 10mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 15mm, outer radius R3 are 20mm.

In the present embodiment, ring 3 and metal outer shroud 1 are the titanium alloy ring in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is identical with embodiment 16.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 43098Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 18

Resonance frequency with the preparation transducer is that 59910Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 5mm, outer radius R2 are 10mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 15mm, outer radius R4 are that 20mm, height H are 5mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 10mm, outer radius R3 are 15mm.

In the present embodiment, ring 3 and metal outer shroud 1 are aluminium monel ring in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is:

ρ ₀＝7500kg/m ³， $s_{11}^E=12.3\×{10}^{-12}{m}^2/N,$ $s_{12}^E=-4.05\×{10}^{-12}{m}^2/N,$ v ₁₂＝0.33，d ₃₁＝-123×10 ^-12C/N， ${\mathrm{\ϵ}}_{33}^T/{\mathrm{\ϵ}}_0=1300,$ ε ₀＝8.842×10 ^-12C ²/(N·m ²)，ρ＝2900kg/m ³，E＝7.6×10 ¹⁰N/m ²，v＝0.34。

The resonance frequency that calculates present embodiment by formula (1)～(10) is 59910Hz.The connecting relation of parts is identical with embodiment 1.

Embodiment 19

Resonance frequency with the preparation transducer is that 40647Hz is an example, and the geometry and the connecting relation of each parts are as follows:

The inside radius R1 of ring 3 is that 10mm, outer radius R2 are 15mm in this example metal, and the inside radius R3 of metal outer shroud 1 is that 20mm, outer radius R4 are that 25mm, height H are 10mm, and the inside radius R2 of piezoelectric ceramic ring 2 is that 15mm, outer radius R3 are 20mm.

In the present embodiment, ring 3 and metal outer shroud 1 are aluminium monel ring in the metal, are shaped as annulus, and the material of piezoelectric ceramic ring 2 is identical with embodiment 1.Material parameter is identical with embodiment 18.

The resonance frequency that calculates present embodiment by formula (1)～(10) is 40647Hz.The connecting relation of parts is identical with embodiment 1.

After the ring 3 and the material parameter of metal outer shroud 1 are determined in above-mentioned principle resonance frequency and the metal, can design the sandwich type radial direction vibrating piezoelectric ceramic ultrasonic transducer of another concrete size, but all within protection scope of the present invention.

Claims (2)

1. sandwich type radial direction vibrating piezoelectric ceramic ultrasonic transducer, in metal, between ring (3) and the metal outer shroud (1) piezoelectric ceramic ring (2) is set, in the metal upper surface of ring (3), metal outer shroud (1), piezoelectric ceramic ring (2) in same plane, the lower surface in same plane, it is characterized in that: the height H of said metal outer shroud (1)≤metal outer shroud (1) diameter D/5;

Ring (3) and metal outer shroud (1) are any one in steel loop, aluminium ring, brass or red copper ring, titanium ring, aluminium monel ring, the titanium alloy ring in the above-mentioned metal.

2. according to the described sandwich type radial direction vibrating piezoelectric ceramic ultrasonic transducer of claim 1, it is characterized in that: ring (3) and metal outer shroud (1) are the annulus of same metal material in the said metal.

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