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基于单相激励的纵向-弯曲耦合压电换能器的传递矩阵建模:分析与验证

Transfer matrix modeling on a longitudinal-bending coupled piezoelectric transducer with single-phase excitation: Analysis and verification.

作者信息

Wang Liang, Wang Xin, Jin Jiamei, Yu Pengpeng, Luo Gang

机构信息

State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.

出版信息

Rev Sci Instrum. 2021 Sep 1;92(9):095006. doi: 10.1063/5.0053983.

DOI:10.1063/5.0053983
PMID:34598545
Abstract

Surface-bonded type piezoelectric transducers have the advantages of simple structure, easy miniaturization, and flexible design and have been widely employed as the stator of ultrasonic motors. In order to simplify the control system, a surface-bonded type single-phase excited piezoelectric transducer operating in the longitudinal-bending coupling vibration is proposed, modeled, and validated in this study. Using the asymmetrical excitation effect, the longitudinal-bending coupled vibration is generated in the proposed piezoelectric transducer only applied with a single-phase electrical signal, leading to the production of the elliptical motion at its driving tip. The proposed transducer holds the advantages of compact structure, simple control system, and low manufacturing costs. The transfer matrix method, which is an efficient and fast semi-analytic computation solution, is employed to develop a dynamic model for the proposed transducer in this study in order to provide a general modeling method for surface-bonded type piezoelectric transducers operating with the longitudinal-bending coupled vibration. A novel longitudinal-bending coupled vibration transfer matrix is created first for surface-bonded type piezoelectric composite element. Then, a general semi-analytical electromechanical coupling model is developed to analyze dynamic behaviors of the proposed piezoelectric transducer. Finally, experimental validation is carried out on the prototype of the proposed piezoelectric transducer and compared with the calculation results using the developed transfer matrix model. Experimental results matched well with the calculation results, which confirmed the correctness of the transducer design and verified the feasibility of the developed transfer matrix model. The proposed piezoelectric transducer presents the potential application for linear ultrasonic motors.

摘要

表面粘贴式压电换能器具有结构简单、易于小型化和设计灵活等优点,已被广泛用作超声波电机的定子。为了简化控制系统,本文提出、建模并验证了一种工作在纵向弯曲耦合振动下的表面粘贴式单相激励压电换能器。利用非对称激励效应,在所提出的仅施加单相电信号的压电换能器中产生纵向弯曲耦合振动,从而在其驱动端产生椭圆运动。所提出的换能器具有结构紧凑、控制系统简单和制造成本低等优点。传递矩阵法是一种高效快速的半解析计算方法,本文采用该方法为所提出的换能器建立动态模型,以便为工作在纵向弯曲耦合振动下的表面粘贴式压电换能器提供一种通用的建模方法。首先为表面粘贴式压电复合元件创建了一种新颖的纵向弯曲耦合振动传递矩阵。然后,建立了一个通用的半解析机电耦合模型来分析所提出的压电换能器的动态特性。最后,对所提出的压电换能器原型进行了实验验证,并与使用所建立的传递矩阵模型的计算结果进行了比较。实验结果与计算结果吻合良好,证实了换能器设计的正确性,并验证了所建立的传递矩阵模型的可行性。所提出的压电换能器在直线型超声波电机方面具有潜在的应用前景。

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