切向极化压电陶瓷细长圆棒的扭转振动研究

利用压电材料的压电及运动方程，本文研究了切向极化压电陶瓷细长棒的扭转振动，分析了扭转振动压电陶瓷细棒中扭转角及扭矩的分布规律，推出了扭转振动压电陶瓷振子的机电等效电路，并得出了振子的共振及反共振频率方程，为扭转振动超声换能器的设计及计算奠定了一定的理论基础。     

指数型纵—扭复合模式超声换能器研究

纵-扭复合模式夹心式压电超声换能器是超声马达、超声加工等应用技术中的重要组成部分.本文研究的复合模式换能器由圆柱型金属后盖板、指数型金属前盖板及轴向极化和切向极化的二组压电陶瓷晶堆组成.导出了换能器中纵向振动与扭转振动模式的共振频率方程.并得出了两种振动同频共振的条件.实验表明.换能器的测试频率与设计频率符合很好.且换能器的纵向共振频率与扭转共振频率基本一致.     

A3 夹心式压电超声扭转换能器的研制

本文对夹心式压电超声扭转振动换能器进行了理论及实验研究，得出了对称型扭转振动夹心换能器的共振频率设计方程，给出了频率方程式中一些主要的物理量的具体表达式，在此基础上，实际设计提供制作了一个夹心扭转振动换能器，并对其所有的电声参数进行了测试。     

径向极化压电陶瓷管的径向振动研究

结合平面应变和三维压电弹性力学理论,对径向极化厚壁压电陶瓷细长管的径向振动进行了研究,得出位移函数、电势函数的精确解。利用振子静电电荷方程导出电位移及电场强度函数,解决了电压与电场强度非线性关系问题,进而辅助maple软件首次对厚壁管形振子等效电导纳进行研究,推出了精确的谐振反谐振频率方程。利用数值法得出了不同尺寸管形振子的谐振反谐振频率,并通过有限元分析,结果表明了本文理论的准确性与精确性,为压电陶瓷厚壁振子的理论研究及设计提供了依据。     

周期铁电畴压电陶瓷的制备和频谱特性研究

研究了复合结构的周期铁电畴压电陶瓷以及通过外加电场反向极化法制 备的周期铁电畴压电陶瓷的厚度切变模式. 分析了两种方法制备的周期铁电畴 压电陶瓷的频谱特性, 得出了铁电畴周期结构可以很好地抑制来源于纵向或径 向振动的高次泛音的不良影响和通过外加电场反向极化法制备小周期铁电畴提 高厚度切变模式谐振频率的方法, 从而可以通过调整周期大小制备出在一定频 率范围内呈现出具有感性的压电陶瓷.     

矩形压电振子的多维耦合换能器理论

利用表观弹性法推导了矩形断面压电陶瓷长条和矩形压电薄板振子的二维耦合振动理论并给出了各振子的总导纳方程、多维耦合下的机电转换系数等,由总导纳方程计算了频率常数随振子几何尺寸的变化曲线。所得结果与有限差分法和有限元法的结果相当满意地符合。 这种方法比其他方法简单,可用于压电陶瓷参数的修正,复合压电振子和非压电振子的耦合振动的计算。     

纵－扭复合振动夹心式压电超声换能器的研究

本文从纵振动和扭转振动的波动方程出发，结合复合振动换能器各组成部分在一维条件下，纵振动和扭转振动的等效网络，以一维声传输线理论为基础，推导出了复合振动换能器所满足的纵振动和扭转振动共振频率方程，通过合理地选择变截直的弯延指数β，从而设计出了同一长度下，纵振动的基波和扭转动的二次谐波可以共振的纵－扭复合振动换能器，并对影响弯延指数β的因素进行了初步的探讨。     

夹心复合压电陶瓷的介电响应

夹心复合压电陶瓷由多孔陶瓷及其上下两层致密陶瓷组成。本工作研究了这种夹心复合压电陶瓷在100Hz～1000MHz 范围内的室温介电响应。这种材料在数百兆赫时出现介电弛豫,频响特性符合 Jonscher 提出的普适介电定律,介电指数 n 和 m 与多孔陶瓷的气孔率有关。经人工极化的样品,介电频响曲线上出现另外两处反常变化,分别相应于径向振动和厚度伸缩振动的贡献。     

A3夹心式压电超声扭转换能器的研制

本文对夹心式压电超声扭转振动换能器进行了理论及实验研究，得出了对称型扭转振动夹心换能器的共振频率设计方程，给出了频率方程式中一些主要的物理量的具体表达式。在此基础上，实际设计并制作了一个夹心扭转振动换能器，并对其所有的电声参数进行了测试     

周期铁电畴压电陶瓷的制备工艺和频谱特性

采用了半导体光刻工艺、压电陶瓷极化工艺相结合的方法制备了多晶压电陶瓷周期畴结构。设计了周期极化所用高电压的脉冲波形、脉冲极化电压、脉冲宽度和脉冲个数。通过频谱分析可以得知:周期铁电畴压电陶瓷厚度切变振动的谐振频率决定于压电陶瓷周期铁电畴的半周期厚度,而不是决定于压电陶瓷的总厚度。周期铁电畴压电陶瓷厚度切变振动的谐振频率相应得到了提高,并且在其附近的Cs值达到了负值。     

扭转振动压电超声换能器的研究

用声强技术检测区分板壳结构的空气传声与结构传声时，结构的辐射效率之差决定了检测结果的可信度，文中分析了实际结构的在声场激励下的实测辐射效率与无限大结构的空气传声辐射效率之差，及对区检测结果的影响。实验结果证实了理论分析。     

Sandwiched piezoelectric ultrasonic transducers oflongitudinal-torsional compound vibrational modes

Sandwiched piezoelectric ultrasonic transducers of longitudinal-torsional compound vibrational modes were studied. The transducers consist of coaxially segmented, longitudinally and tangentially polarized piezoelectric ceramic rings, a back metal cylinder, and a front exponential solid metal horn. Based on the plane-wave approximation, the equivalent circuits of the longitudinal and torsional vibrations in the sandwiched transducer were obtained and the resonance frequency equations of the transducer in longitudinal and torsional vibrations were derived. By means of choosing the radius decay coefficient of the front exponential horn, the longitudinal and torsional vibrations are made to resonate at the same frequency in the transducer. Sandwiched piezoelectric ultrasonic transducers of longitudinal-torsional compound modes were designed and fabricated according to the frequency equations. It is demonstrated that the measured resonance frequencies of the transducers are in good agreement with the theoretical results, and the measured resonance frequencies of the transducers in longitudinal and torsional vibration modes are also in good agreement with each other. Theoretical and experimental results show that this kind of transducer can be used in ultrasonic welding, ultrasonic machining, ultrasonic motors, and other ultrasonic applications which need large displacement amplitudes     

Study on a new type of radial composite piezoelectric ultrasonic transducers in radial vibration

In this paper, a new type of radial composite ultrasonic transducers in radial vibration is presented and studied. The radial composite ultrasonic transducer consists of a solid piezoelectric ceramic thin disk and a hollow metal thin, circular ring in radial vibration; and they are connected together in the radial direction. The radial vibrations of a piezoelectric ceramic thin disk and a hollow, metal, thin, circular ring are analyzed, respectively. Their radial electromechanical equivalent circuits are obtained. Based on the electromechanical equivalent circuits and using the boundary conditions between the piezoelectric ceramic thin disk and the hollow, metal, thin ring, the electromechanical equivalent circuit of the radial composite ultrasonic transducer is derived and the resonance frequency equation is obtained. The theoretical results from the resonance frequency equation are in good agreement with the measured radial resonance frequencies, and they also are in a good agreement with the results from the numerical method.     

Radial vibration of the composite ultrasonic transducer of piezoelectric and metal rings

The radial composite ultrasonic transducer of a piezoelectric ceramic ring and a metal ring is studied. The radial vibrations of a piezoelectric ceramic ring polarized in the thickness direction and a metal ring are analyzed and their electromechanical equivalent circuits are obtained. On the basis of the electromechanical equivalent circuits of the piezoelectric and the metal ring and the radial boundary conditions, the total electromechanical equivalent circuit for the composite ultrasonic transducer is also obtained. The resonance frequency and anti-resonance frequency equations of the composite ultrasonic transducer are given. Some radial composite ultrasonic transducers are designed and manufactured and their resonance and anti-resonance frequencies are measured. Experiments show that the measured resonance frequencies are in a good agreement with the theoretical results.     

压电陶瓷圆环与金属圆环复合振动系统的径向振动

对由压电陶瓷圆环与金属圆环组成的复合振动系统的径向振动特性进行了研究。首先分析了压电陶瓷圆环和金属圆环的径向振动,推出了其各自的机电等效电路。在此基础上,得出了压电陶瓷圆环与金属圆环复合振动系统的机电等效电路及其共振频率方程。探讨了系统的共振及反共振频率、有效机电耦合系数与其几何尺寸之间的关系。研究表明,当复合振动系统的壁厚比增大时,其共振及反共振频率升高。对于换能器的第一阶径向振动,其有效机电耦合系数随壁厚比的增大而单调减小;对于换能器的第二阶径向振动,其有效机电耦合系数随壁厚比的增大会出现一个极大值,而且,在一定的壁厚比范围内,换能器第二阶径向振动的有效机电耦合系数大于第一阶径向振动的有效机电耦合系数,这一规律与传统的有关压电换能器的分析理论及结果是有所不同的。     

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.     

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...