Radiation impedance and equivalent circuit for piezoelectric ultrasonic composite transducers of vibrational mode-conversion

The piezoelectric ultrasonic composite transducer, which can be used in either gas or liquid media, is studied in this paper. The composite transducer is composed of a longitudinal sandwich piezoelectric transducer, a mechanical transformer, and a metal circular plate in flexural vibration. Acoustic radiation is produced by the flexural circular plate, which is excited by the longitudinal sandwich transducer and transformer. Based on the classic flexural theory of plates, the equivalent lumped parameters for a plate in axially symmetric flexural vibration with free boundary conditions are obtained. The radiation impedance of the plate is derived and the relationship between the radiation impedance and the frequency is analyzed. The equivalent circuits for the plate in flexural vibration and the composite transducer are given. The vibrational modes and the harmonic response of the composite piezoelectric transducer are simulated by the numerical method. Based on the theoretical and numerical analysis, two composite piezoelectric ultrasonic transducers are designed and manufactured, their admittance-frequency curves are measured, and the resonance frequency is obtained. The flexural vibrational displacement distribution of the transducer is measured with a laser scanning vibrometer. It is shown that the theoretical results are in good agreement with the measured resonance frequency and the displacement distribution.     

A flex-compressive-mode piezoelectric transducer for mechanical vibration/strain energy harvesting

A piezoelectric transducer for harvesting energy from ambient mechanical vibrations/strains under pressure condition was developed. The proposed transducer was made of two ring-type piezoelectric stacks, one pair of bow-shaped elastic plates, and one shaft that pre-compresses them. This transducer works in flex-compressive (F-C) mode, which is different from a conventional flex-tensional (F-T) one, to transfer a transversely applied force F into an amplified longitudinal force N pressing against the two piezo-stacks via the two bowshaped elastic plates, generating a large electric voltage output via piezoelectric effect. Our experimental results show that without an electric load, an F-C mode piezo-transducer could generate a maximum electric voltage output of up to 110 Vpp, and with an electric load of 40 κΩ, it a maximum power output of 14.6 mW under an acceleration excitation of 1 g peak-peak at the resonance frequency of 87 Hz.     

Effect of electric load impedances on the performance of sandwich piezoelectric transducers

Based on the electromechanical equivalent circuit, the sandwich piezoelectric transducer with adjustable resonance frequency is studied. The underlying theory of frequency adjustment is its piezoelectric effect. In this paper, the influence of electric load impedance (including electric resistance, electric inductance, and electric capacitance) on the resonance frequency, the antiresonance frequency, and the effective electromechanical coupling coefficient is analyzed theoretically and experimentally. It is demonstrated that the electric load impedance can change the resonance frequency, the antiresonance frequency, and the effective electromechanical coupling coefficient. When the electric load resistance is increased, the resonance frequency and the antiresonance frequency are increased; the effective electromechanical coupling coefficient has a maximum value when the electric load resistance changes. When the electric load resistance becomes large, the effect of the electric load resistance on the effective electromechanical coupling coefficient is negligible. When the electric load inductance is increased, the resonance frequency and the antiresonance frequency are decreased, whereas the effective electromechanical coupling coefficient is increased. When the electric load capacitance is increased, the resonance frequency, the antiresonance frequency, and the effective electromechanical coupling coefficient are all decreased. It should be noted that when the electric load impedance becomes large, the effect of the electric load impedance on the resonance frequency, the antiresonance frequency, and the effective electromechanical coupling coefficient of a sandwich piezoelectric transducer becomes negligible.     

纸蜂窝夹层板主共振频率的影响因素

目的 研究芯层结构因素和静应力因素对纸蜂窝夹层板-质量系统主共振频率的影响。方法 采用正弦振动试验测试纸蜂窝夹层板-质量系统的振动传递特性,分析不同静应力作用下不同蜂窝芯的纸蜂窝夹层板-质量系统的主共振频率变化规律。结果 纸蜂窝夹层板-质量系统的主共振频率在150~350 Hz之间;蜂窝芯结构及芯层材料影响纸蜂窝夹层板的刚性,从而影响系统的主共振频率;载荷质量变化引起静应力的变化,也会影响系统的主共振频率。主共振频率均随蜂窝胞元边长、纸板厚度、芯纸定量及静应力的增大而降低。结论 可为纸蜂窝夹层板的振动传递特性研究提供基础,有助于不同材质蜂窝夹层板的优化设计。     

A self-sensing nanomechanical resonator built on a single-walled carbon nanotube

We present observations of resonance behavior in a torsional nanoelectromechanical device built with an individual single-walled carbon nanotube. The effect of applied torsional strain on the transport properties of the nanotube provides an electrical signal transducer and hence a means of measuring oscillation amplitude, resonance frequency, and quality factor. The mechanical resonance is confirmed by imaging and the electromechanical signal is compared to quasi-static measurements.     

圆环式径向换能器声压分布及其指向性

根据圆环式径向换能器的对称性,定性分析了其声压分布性质,提出将辐射面镶在无限幕上并向辐射面的外法线所在的半空间辐射声场的分析模型;根据惠更斯原理,推导了圆环式径向换能器辐射声场远场区的声压分布以及指向性函数;通过MATLAB绘制指向性函数曲线,研究换能器的有效工作段长度、外径以及辐射频率对其指向性的影响。结果表明,当换能器的尺寸一定时,辐射频率增大,指向性增强;当换能器的辐射频率和外径一定时,换能器的有效工作段长度增大,指向性增强;当换能器的辐射频率和有效工作段长度一定时,外径对声场指向性的影响不大。结合有限元分析软件COMSOL Multiphysics,仿真声波在混凝土中的传播,进一步验证了以上结论。     

Cymbal压电发电换能器有限元分析

通过建立Cymbal压电发电换能器的机电耦合有限元分析模型,计算分析了换能器结构参数对输出电压和谐振频率的影响以及外接负载对Cymbal换能器输出电压和输出功率的影响。研究表明,为了降低换能器的工作频率和提高换能器的输出电压,应增大换能器的空腔底部直径和减小换能器的空腔高度;在选择金属端冒和压电陶瓷厚度等参数时,应综合考虑换能器系统的刚度和外界振动源的频率特性和加速度特性;在任意一个频率点上,Cymbal换能器均存在一个最佳的外接负载,使得换能器的输出功率最大,而这个最佳的负载阻抗就等于Cymbal换能器在这个工作频率点上的输出阻抗。文中还提出并分析了基于外加预应力的多振子级联方式Cymbal压电发电换能器系统的结构。     

Piezoelectric ceramic rectangular transducers in flexural vibration

Based on the equivalent elastic method and coupled vibration theory, an analytic method is presented to study the flexural vibration of rectangular transducers consisting of piezoelectric ceramic thin plates. By introducing a mechanical coupling coefficient, the flexural vibration of the piezoelectric ceramic rectangular thin plate is reduced to two simple, one-dimensional flexural vibrations of narrow piezoelectric ceramic strips. The resonance frequency equations for the piezoelectric ceramic rectangular thin-plate transducers in flexural vibration are derived under the free and simply supported boundary conditions analytically. The relationship between the resonance frequency and the flexural vibrational order, the geometrical shape, and the dimensions of the piezoelectric ceramic rectangular thin-plate transducer is analyzed. It is demonstrated that the one-dimensional vibrational theory for the flexural vibration of a narrow piezoelectric ceramic strip and the stripe-mode flexural vibrational theory for the piezoelectric ceramic rectangular thin plate can be derived directly from the theory obtained in this paper. Experimental results show that the measured resonance frequencies of the piezoelectric ceramic rectangular thin-plate transducers in flexural vibration under free-boundary conditions are in good agreement with the calculated results. The method presented in this paper can be used in the resonance frequency analysis of vibrating systems in coupled vibration.     

2-2压电复合材料面板的压力放大作用

２－２压电复合材料应用普遍。材料中聚合物对压电陶瓷的应力作用，使性能得到施工改善。在复合材料两电极面上复盖薄面板，由于板的应力传递作用会使使接收国和辐射力产生放大效应，从而提高了接收灵敏度和发射响应。     

基于机械品质因数的全波压电超声换能器设计

针对全波压电超声换能器常规设计方法存在的尺寸参数较多、计算较复杂等问题,研究了一种利用机械品质因数设计全波压电超声换能器的方法.基于压电超声理论推导了全波压电超声换能器的频率方程,利用电学理论推导了全波压电超声换能器各组成部分的等效电路,利用等效电路求取了在任意等效截面处的等效机械阻抗,进而推导出全波压电超声换能器各部...     

纵振换能器式圆筒型超声电机振动特性的研究

以纵振夹心换能器式圆筒型超声电机为研究对象,对换能器的振动状态进行了分析,给出了换能器弯曲振动的产生原因;研究了耦生弯振对电机机电耦合系数以及圆筒中弯振行波质量所带来的影响,耦生弯振的存在使得定子模态特征频率偏离换能器谐振频率,并使得定子圆筒中的弯振行波产生了畸变。最后,提出一种采用换能器弯振激励圆筒径向弯振的模态组合方式。     

Evaluation of piezocomposites for ultrasonic transducerapplications influence of the unit cell dimensions and the properties ofconstituents on the performance of 2-2 piezocomposites

A theoretical model on piezoceramic polymer composites with laminar periodic structure is presented. A salient feature of this model is that it can treat explicitly how the unit cell dimensions and other material properties influence the performance of an ultrasonic transducer made of 2-2 piezocomposites. The model predicts that there exist a series of modes associated with the periodic structure of a composite, which is beyond the stop-band edge resonance prediction. One of the main concerns in designing a composite transducer is how the surface vibration profile changes with frequency and how this is influenced by the aspect ratio of the ceramic plate. It was predicted that as long as the thickness resonance is below the first lateral mode frequency, there is always a frequency f₁ which is near the thickness resonance and at which the polymer and ceramic vibrate in unison. The effect of aspect ratio is to change the position of f₁ with respect to the thickness resonance frequency and the bandwidth in which polymer and ceramic have nearly the same vibration amplitude and phase. It is also predicted that, when operated in a fluid medium such as water, there will be a resonance mode which has a frequency determined by the velocity of the fluid medium and the unit cell length d and is associated with the oscillation of the fluid. The behavior of a composite plate as an acoustic transmitter and receiver and the influence of the aspect ratio of the ceramic plate on them are also investigated     

纵弯转换超声振动雾化系统的振动特性与设计研究

提出了由纵向振动系统与弯曲振动圆盘组成的纵弯转换超声振动雾化系统的新型结构。通过理论分析和有限元分析,揭示了由换能器、变幅杆与工具组成的振动系统的各种谐振状态特性, 研究了系统的谐振设计方法。分析表明：新型雾化振动系统工作于负载谐振模式,其谐振频率主要取决于纵振动系统的结构,弯曲振动薄圆盘相当于系统的负载。当弯曲振动圆盘谐振频率与系统的谐振频率越接近时,系统的输出振幅越大。通过实验证明了理论研究正确性。     

复合共鸣腔Janus宽带换能器

提出了一种复合共鸣腔Janus换能器设计思想.在Janus-Helmholtz换能器基础上,增加Janus-Hammer Bell的圆环谐振模态,利用换能器三种工作模态的互相耦合,有效拓宽了换能器的工作频带.同时换能器整体采用溢流设计,实现内外静水压力平衡,适用于深水工作.文章首先介绍了复合共鸣腔的工作原理,给出了圆环...     

Force-frequency coefficient of symmetrical incomplete circular quartz crystal resonator

The changes in the resonance frequencies of the thickness-shear vibration of symmetrical incomplete circular AT-cut quartz crystal resonators (QXRs), which are used as sensing elements in digital force sensors or pressure transducers, by the application of diametrical forces are discussed by considering the piezoelectric effect and the anistropic characteristics of crystal plates. Two-dimensional motion equations for predicting the frequency changes are derived from three-dimensional piezoelectricity equations, and equations deduced by Janiaud for solving the stress distribution in crystal plates are used to calculate the force-frequency coefficients of incomplete circular resonators. The results show that the piezoelectric effect of crystal plates decreases the force-frequency coefficient of the azimuth angle 0 degrees by 7% as compared with no piezoelectricity assumption. The incomplete circular shape can be applied to a larger load than the circular disc because the flat regions of the incomplete shape provide a distributed load application without the problems of stress concentration of a point force inherent to a circular disc. The incomplete shape gives an increased force sensitivity when compared with the complete disc near azimuth angle 0 degrees. The theoretical curves agree well with Ratajski's experimental results.     

Development of a low-frequency high purity A0 mode transducer for SHM applications

The reliability of structural health monitoring (SHM) systems based on guided ultrasonic waves is improved if pure modes are generated by the transducers. A piezoelectric- based transducer generating high purity A₀ mode guided waves at low frequencies (around 20 kHz) was developed. The through-thickness resonance of a piezoelectric element was lowered to the frequency region of interest by use of backing masses and low-stiffness front layers. Soft front layers also reduced significantly the transmission of in-plane displacements caused by Poisson's ratio effects in the piezoelectric element to the structure. Parametric studies were undertaken by varying the backing mass length, the transducer diameter, and the thickness of the front layer. The thickness of the plates on which the transducers were operated was found to be a critical issue and these effects were evaluated. Results obtained by finite-element analysis were validated by experimental measurements and showed that signals with A₀/S₀ energy ratios substantially above 40 dB can be obtained.     

大功率夹心式压电换能器结构参数计算分析及设计

基于一维纵振理论和机电等效原理,得到了单匹配层夹心式压电换能器辐射声压级的计算公式,通过该公式对换能器结构参数对其谐振频率和辐射声压级(sound pressure level,SPL)的影响进行了计算分析。计算结果表明:换能器径向尺寸对谐振频率的影响不大,但前盖板径向尺寸的增大会提高辐射声压级;纵向尺寸的增大会使换能器系统谐振频率降低,但增加前盖板厚度,或增大前后盖板厚度比,有利于辐射声压级的提高;增加压电晶片的片数、厚度和面积都可使换能器辐射声压级提高;换能器发射端增加匹配层能有效提高辐射声压级,匹配层的厚度和密度对声压级幅值和带宽有影响。依据计算结果,进行了给定指标要求的换能器的设计计算。     

Piezoelectric two-layer stacks of cellular polypropylene ferroelectrets: transducer response at audio and ultrasound frequencies

Piezoelectric cellular polypropylene films, so-called ferroelectrets, are assembled in a stack with two active transducer layers. The stack is characterized with respect to its linear and quadratic response in a frequency range from 1 kHz to 80 kHz. A relatively smooth frequency response in the sound-pressure level is found for the individual layers as well as for both layers driven in phase. The piezoelectric response of the two-layer stack is twice the response of an individual layer over a rather broad frequency range. Furthermore, the influence of the preparation conditions on the resonance frequency and the effect of the quadratic distortion on the radiated sound are investigated both for the individual transducer films in the stack and for the stack system as a whole.     

多频海底声学原位测试系统在海水中的声源响应及子波分析

多频海底声学原位测试系统是国家海洋局第二海洋研究所自行研制的海底声学原位测试系统。利用声源换能器的等效电路,分析了声源换能器输入终端输入脉冲与输出接收脉冲之间的关系。将系统的低频声源等效为一定半径的球形声源,确定了系统在15kHz时在试验海域海水中的声源换能器的角频率响应和输出回路品质因子。计算了系统理论接收脉冲,结果表明输出接收脉冲并非输入脉冲的简单复制。并与实测接收脉冲进行了比对,理论接受脉冲与实测脉冲在细节上达到了很好的匹配,说明本文确定的各响应参数很好的代表了本系统在海水中的声源响应。     

Efficiency of excitation of piezoceramic transducers at antiresonance frequency

The efficiency of piezoceramic transducers excited at both the resonance and antiresonance frequency was investigated. Losses in piezoceramics are phenomenologically considered to have three coupled mechanisms: dielectric, mechanical, and piezoelectric losses. Expressions for the resonance and antiresonance quality factors, which ultimately determine transducer efficiency, have been received on the basis of complex material constants for both stiffened and unstiffened vibration modes. Comparison of electric and mechanical fields, thermal and electrical losses of power supply, and their distribution in the transducer volume have been made. For a given constant mechanical displacement of the transducer top, the required electric voltage applied to the transducer at the antiresonance frequency is proportional to the resonance quality factor, but the changes in the intrinsic electric and mechanical field characteristics in the common case are not too essential. The requirements on the piezoceramic parameters, types of transducer vibration, and especially on the factor of piezoelectric losses in a range of physically valid values were established to provide maximal quality factors at the antiresonance frequency.