压电陶瓷非线性对大功率换能器结构参数匹配影响的计算分析

在Guyomar非线性模型基础上,通过机电等效法将晶堆前向负载作为等效质量和阻尼加入振动方程的质量项和阻尼项,推导了换能器振速、辐射声压级和谐振频率偏移率等表达式,计算分析了压电陶瓷非线性参数和结构参数对换能器声辐射性能的影响,研究了压电陶瓷的非线性对换能器结构参数匹配的影响。结果表明,换能器节面靠前,前盖板厚度越小,前盖板大径越小,都可以减少压电陶瓷非线性引起的换能器频率偏移。当设计频率确定时,压电陶瓷处于非线性工作域的换能器的结构参数有所减小。换能器加入辐射端匹配后,可以改善压电晶堆前向负载匹配,降低换能器的谐振频率偏移率。换能器激励电流也会出现频率偏移现象。在提高换能器激励电压时,换能器的结构参数应适当减小。得到的结论可为换能器设计提供理论依据和帮助。     

夹心换能器的节点位置对其特性的影响分析

以半波长夹心换能器的节点位置与压电陶瓷堆中心的距离为变量,分析了换能器的力因子,等效机械阻,潜在最大电声效率,以及电声效率与负载的关系等一些特性指标与节点位置的关系。提出了工程实际中,换能器节点位置选取的一些考虑。     

超声换能器辐射特性的优化*

匹配层和背衬层是换能器的重要组成部分,对换能器特性有重要影响。针对发射型换能器,基于有/无匹配层和空气/树脂背衬两种条件组合,该文研究了匹配层与背衬层对换能器辐射特性的影响。结果表明,负载材料为水时,空气背衬换能器相较于树脂背衬换能器声能辐射效率更高;匹配层可以提高换能器的主瓣能量,抑制旁瓣能量及旁瓣数量。因此,针对发射型换能器的设计,背衬材料的选择应遵循与压电材料的阻抗差异越大越优的原则;匹配层的合理设计不仅可以提高超声换能器的声能辐射效率,还可以提高主瓣旁瓣峰值比,使声能更集中。     

外接LC电路的可调压电换能器的频率特性

压电换能器往往因受到温度与负载的影响,导致其谐振频率、反谐振频率和机械品质因数等特征参数发生变化。通过在压电换能器中设计用于调节的压电陶瓷片,并在调节压电陶瓷片两端外接电负载,可以实现压电换能器的频率调节,修正由于温度和负载导致的频率漂移。基于压电换能器的Mason等效电路,建立外接LC调节电路的压电换能器的谐振频率、反谐振频率模型,分析LC调节电路中调节电感对频率调节特性的影响;通过实验研究外接LC调节电路对可调压电换能器机械品质因数的影响,并验证调节电感对频率调节特性的影响。理论分析和实验研究的结果表明:随着调节电感的增大,调节电容对频率的调节灵敏度提高,可调压电换能器的频率调节宽度拓宽,但也会使压电换能器的机械品质因数降低。合理选择调节电感和调节电容能兼顾频率调节宽度和机械品质因数的要求。此研究可为后续自适应压电换能器的频率调节系统设计提供指导。      

单面接线的厚度模压电换能器

常规的厚度模压电陶瓷换能器需要在压电陶瓷片的两个大面上接线.但是前表面的接线对于小换能器(直径小于1mm)和阵列换能器不利.两面接线还不便于批量生产,也不便于和匹配层的耦合.D.E.Laughlin等人1985年曾制作了如图1所示的小换能器.这种换能器的背电极分割成两半,分别连接电源的两极.前表面的电极不连线,与常规换能器不同,这种换能器工作时压电片的两半作反相振动,一半伸张时,另一半压缩;一半压缩时,另一半伸张.实测表明,这种换能器的声场由两个独立的声束组成(图2).     

随钻声波测井四极子发射换能器的设计*

提出一种基于金属基片结构的随钻四极子发射换能器,其一阶弯曲模式可用于随钻四极子声源。利用有限元法对该换能器进行了设计分析,结果表明在5kHz附近存在一阶弯曲振动模态,其径向位移分布及发射电压级响应均优于单纯的瓦片状压电阵子,非常适合随钻四极子工作频率及声场的测量需求。针对一阶弯曲振动模态,数值模拟了几何尺寸对换能器性能参数的影响。换能器谐振频率随着陶瓷片厚度、陶瓷片高度、陶瓷片张开角度、金属基片厚度的增大而升高。最大发射电压级幅值随着陶瓷片高度、陶瓷片张开角、金属片厚度的增大而升高;随着陶瓷片厚度的增大,最大发射电压级幅值先升高后逐渐降低。金属基片采用铝片可以使换能器有较大的发射功率。数值模拟结果可以对随钻声波测井仪四极子发射换能器的设计起到良好的指导作用。     

压电管堆式宽带换能器*

研究了一种具有管状叠堆结构的圆管换能器,其敏感元件是由纵向极化压电陶瓷单元组成的薄壁管状压电叠堆,探讨利用管状叠堆纵向和径向振动耦合实现宽带发射。利用压电柱壳振动理论推导了管堆的频率方程,分析了换能器的纵向和径向模态的振动耦合特性。在理论分析的基础上利用有限元方法对换能器的带宽和发射电压响应进行优化并研制换能器样机。测试结果表明,纵向极化的管状压电叠堆结构具有良好的发射电压响应和宽带特性,与理论及仿真结果相符。     

铌酸钾钠基无铅压电陶瓷纵振换能器*

高性能环境友好型无铅压电陶瓷及其应用是当前压电材料研究的热点之一,为了探究其在水声换能器领域的应用潜力,该文对铌酸钾钠基无铅压电陶瓷和锆钛酸铅压电陶瓷纵振式换能器进行了对比研究。依据仿真结果优化结构尺寸,制作了两种换能器样机并测试了其在空气中和水中的电声性能。测试结果表明,铌酸钾钠基无铅压电陶瓷换能器的谐振频率为35kHz,最大发送电压响应为 151dB,声源级可达 190dB,在 26kHz~67kHz 的频率范围内发送电压响应的起伏不超过±4.5dB,谐振频率处-3dB 的指向性开角约为 76°。该无铅压电陶瓷换能器具有和锆钛酸铅压电陶瓷换能器相当的发射性能,有望推动无铅压电材料在水声换能器领域的应用进程。     

磁致伸缩-压电混合激励Janus换能器结构特征参量与纵振频率之间的关系

为了拓宽Janus换能器的工作频带,使用超磁致伸缩材料Terfenol-D与PZT压电陶瓷作为混合激励元件驱动Janus换能器,研究了其结构特征参量与纵振频率之间的关系.首先归纳了磁致伸缩-压电混合激励Janus换能器的12个结构特征参量.随后通过模态分析,证明换能器具有两种纵振动模态.最终经过有限元仿真计算,总结分析...     

压电陶瓷复合振子的电声效率与振子压电片位置关系的实验研究

压电陶瓷组成的功率超声复合振子,虽然有不少优点,但是在实际负载中,有时声负载匹配不够理想,声能不易辐射出去。如果压电片的位置放的不妥当,其声能就更辐射不出去,增加了换能器的损耗,降低了电声效率。本文从振子的晶片位置上研究了这个问题。 一、引言 关于复合振子的压电片位置,有人曾作过研究。例如:Shoh研究了压电片位置对振子内部功率损耗的影响。Lemaser在频率为10kHz下,研究了压电片的位置对阻抗、Q值和辐射端头位移的影响。汪承灏研究了压电片的位置对有效耦合系数的影响。我们根据压电片在振子中的位置不同,设计了多种20kHz的压电陶瓷复合振子。在超声工程常用的功率和位移振幅下,分两种情况试验:第一情况,向空气中辐射;第二种情况向水中辐射。通过这些实验,从压电陶瓷片在振子中的不同位置,观察它们的内部损耗功率和电声效率的变化。     

Operating characteristics analysis of a dual-excited full-wavelength piezoceramic ultrasonic transducer

A dual-excited full-wavelength piezoceramic ultrasonic transducer as a cascade of two half-wavelength sandwich piezoceramic transducers is studied.The relevant parameters' expressions of the figure of merit N for the transducer are derived,and the effects of the structure and material parameters of the transducer on its characteristics are further analyzed by numerical calculation.The results show that when the two piezoceramic stacks are respectively located at the displacement nodes of their own half-wavelength transducers,or the two piezoceramic stacks have the same number of pieces in the case of a certain number of piezoceramic pieces,the figure of merit of the transducer can reach a maximum.With increasing of the number of piezoceramic pieces in a fairly large range,the figure of merit of the transducer slightly decreases,but the force factor of the transducer increases rapidly.The metal materials of the transducer have little effect on its figure of merit.Thus it can be seen that the dual-excited full-wavelength transducer can effectively increase the volumes of the piezoceramic stacks in the case of that the transducer's comprehensive performance has only a little bit of degradation,so it's power capacity and load capability can be dramatically improved,which means the transducer is more suitable for high power and heavy load applications.     

Modeling of functionally graded piezoelectric ultrasonic transducers

The application of functionally graded material (FGM) concept to piezoelectric transducers allows the design of composite transducers without interfaces, due to the continuous change of property values. Thus, large improvements can be achieved, as reduction of stress concentration, increasing of bonding strength, and bandwidth. This work proposes to design and to model FGM piezoelectric transducers and to compare their performance with non-FGM ones. Analytical and finite element (FE) modeling of FGM piezoelectric transducers radiating a plane pressure wave in fluid medium are developed and their results are compared. The ANSYS software is used for the FE modeling. The analytical model is based on FGM-equivalent acoustic transmission-line model, which is implemented using MATLAB software. Two cases are considered: (i) the transducer emits a pressure wave in water and it is composed of a graded piezoceramic disk, and backing and matching layers made of homogeneous materials; (ii) the transducer has no backing and matching layer; in this case, no external load is simulated. Time and frequency pressure responses are obtained through a transient analysis. The material properties are graded along thickness direction. Linear and exponential gradation functions are implemented to illustrate the influence of gradation on the transducer pressure response, electrical impedance, and resonance frequencies.     

Influence of acoustic impedance of multilayer acoustic systems on the transfer function of ultrasonic airborne transducers

In different solutions of ultrasonic transducers radiating acoustic energy into the air there occurs the problem of the proper selection of the acoustic impedance of one or more matching layers. The goal of this work was a computer analysis of the influence of acoustic impedance on the transfer function of piezoceramic transducers equipped with matching layers. Cases of resonance and non-resonance matching impedance in relation to the transfer function and the energy transmission coefficient for solid state-air systems were analysed. With stable thickness of matching layers the required shape of the transfer function can be obtained through proper choice of acoustic impedance were built (e.g. maximal flat function). The proper choice of acoustic impedance requires an elaboration of precise methods of synthesis of matching systems. Using the known matching criteria (Chebyshev's, DeSilets', Souquet's), the transfer function characteristics of transducers equipped with one, two, and three matching layers as well as the optimisation methods of the energy transmission coefficient were presented. The influence of the backside load of the transducer on the shape of transfer function was also analysed. The calculation results of this function for different loads of the transducer backside without and with the different matching layers were presented. The proper load selection allows us to obtain the desired shape of the transfer function, which determines the pulse shape generated by the transducer.     

Load characteristics of high power sandwich piezoelectric ultrasonic transducers

Based on the equivalent circuit theory, the load characteristics of high power piezoelectric ultrasonic sandwich transducers are studied. Two types of loads are studied. One is liquid load as in ultrasonic cleaning, and the other is solid load as in ultrasonic drilling and machining. The effect of load and structure of the transducer on the resonance frequency of the transducer is analyzed. It is shown that the effect of load on the resonance frequency of sandwich transducers with different structures is different. For liquid load as in ultrasonic cleaning, the effect of the load on the resonance frequency of the sandwich transducer with symmetrical structure is the largest. It is the smallest for the transducer with its displacement node in the back metal cylinder. For solid load as in ultrasonic drilling and machining, the effect of the load on the resonance frequency of the sandwich transducer with its displacement node in the front metal cylinder is the largest. It is also the smallest for the transducer with its displacement node in the back metal cylinder. On the other hand, for some applications, such as ultrasonic drilling, when the lateral dimension of the tool is much less than that of the transducer, its effect on the resonance frequency of the transducer is small. The conclusions are useful in designing vibrating systems for different ultrasonic applications.     

Pulse mode of operation of a spherical piezoceramic transducer filled with liquid and having a correcting electric circuit

By means of a computational method, the possibility of radiating a short acoustic pulse by a transducer in the form of a piezoceramic sphere internally filled with liquid is investigated. An electric inductive-resistive circuit is connected to the electric input of the transducer. Solution is obtained based on scheme-analogs theory for piezoceramic transducers, and spectral Fourier transform theory. The values of parameters of the system, providing minimal durations of radiated signals, are determined. Computation was carried out for different values of relative thicknesses of the transducer wall. The estimates of durations and amplitudes of the acoustic signals radiated into the external medium are obtained.     

The influence of the thickness of non-piezoelectric pieces on pre-stressed piezotransducers

The mechanical pre-stress applied in piezotransducers used to generate high power ultrasound is needed to avoid ceramics fracture on traction cycle. Pre-stress levels inferior to 50 MPa can yield resonance shifting due to effectiveness of acoustic coupling between transducer pieces. Symmetrical transducers with different thickness of passive parts were submitted to axial mechanical pre-stress up to 50 MPa and their resonances were measured. The experimental results show the increasing of the resonances frequencies with the level of applied pre-stress. Similar effect is verified in simulations by using a model based on Mason's equivalent electric circuit. Due to the similarity of these effects, a relation between applied pre-stress and pieces coupling was proposed for the transducer assembled. In addition, the dependence of the thickness of non-piezoelectric pieces on the coupling effectiveness between them is discussed. The results show that transducers with small thickness present more expressive shifting resonance ratio.     

Multilayer piezocomposite structures with piezoceramic volume fractions determined by mathematical optimisation

Piezocomposite materials are now widely used in broadband underwater sonar for ultrasound generation and detection because of their recognised advantages over piezoceramic devices. However, it is difficult to make single-layer piezocomposite devices to operate effectively at frequencies below 100 kHz. Instead, multilayer composite stacks can be used. If this solution is adopted, interesting effects can be achieved by choosing appropriate ceramic volume fractions for different layers in the stack, as volume fraction plays a key role in achieving the desired performance. In this paper we describe a theoretical study of 1-3 piezocomposite transducers with five layers each with a different volume fraction. Our work is based mainly on our own special purpose computer code which solves the one-dimensional wave equation by matrix manipulation, with additional support from the PZ Flex finite element analysis package. The choice of volume fractions is difficult because of the multifaceted nature of the problem, with a very large number of possible combinations and complex dependence of material properties, and hence transducer sensitivity and frequency response on the volume fractions. Therefore, we have used the stochastic optimisation technique of simulated annealing implemented in MATLAB code to determine the volume fraction of each layer. The optimisation cost function we have used is maximisation of gain-bandwidth product. We have found that significant increases in gain-bandwidth product can be achieved compared with the use of the same volume fraction in each layer, far exceeding the 35% reported previously with trial-and-error volume fraction adjustment. This suggests that improvements in practical device performance are possible.     

Sound radiation from a cylindrical transducer filled with an elastic medium

An approximate method is proposed for calculating the acoustic field produced by a finite-height cylindrical piezoceramic transducer with allowance for the radiation from the ends of its inner volume that is filled with an elastic medium characterized by an arbitrary Poisson’s ratio. Structural features of the transducer (the presence of a sealing compound and an inner baffle) are taken into account. Good agreement is obtained between calculations and experiment for two transducers (a short one with a height-to-radius ratio h/a≈1 and a long one with h/a≈3) whose inner cavities are filled with either water or foam plastic.     

Experimental and finite element modelling studies on single-layer and multi-layer 1-3 piezocomposite transducers

Finite element modelling (FEM) using ATILA code and experimental studies have been carried out on 1-3 piezocomposite transducers. FEM study was initially carried out on a piezocomposite infinite plate and then extended to transducers of finite size. The infinite-plate model results agree well with that of a simple analytical model and experiments. The acoustic performance of multi-layer finite-size piezocomposite transducers was also studied. Transducer stacks were fabricated with different number of layers. The transducer characteristics such as the electrical impedance, the transmitting voltage response (TVR) and the receiving sensitivity (RS) of the 1-3 piezocomposite transducers were evaluated as functions of frequency, ceramic volume fractions and the number of layers. TVR increases and RS decreases with increase in ceramic volume fractions. The model results are found to agree with the experimental data, especially when the number of layers is less.     

Vibrations of radially polarized composite piezoceramic cylinders and disks

Eigenfrequency equations are derived for the resonance and antiresonance of long tubes and thin disks composed of n radially polarized piezoceramic materials bonded at their cylindrical interfaces. Numerical solutions are presented for steel/PZT-4/steel transducers, along with the corresponding effective electromechanical coupling factors. The results obtained provide for an efficient design of piezoceramic bandpass filters and other composite transducer devices.