Natural frequency analysis of laminated piezoelectric beams with arbitrary polarization directions

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外文标题：Natural frequency analysis of laminated piezoelectric beams with arbitrary polarization directions

外文摘要：Piezoelectric devices exhibit unique properties that vary with different vi-bration modes,closely influenced by their polarization direction.This paper presents an analysis on the free vibration of laminated piezoelectric beams with varying polarization directions,using a state-space-based differential quadrature method.First,based on the electro-elasticity theory,the state-space method is extended to anisotropic piezoelectric materials,establishing state-space equations for arbitrary polarized piezoelectric beams.A semi-analytical solution for the natural frequency is then obtained via the differential quadrature method.The study commences by examining the impact of a uniform polar-ization direction,and then proceeds to analyze six polarization schemes relevant to the current research and applications.Additionally,the effects of geometric dimensions and gradient index on the natural frequencies are explored.The numerical results demonstrate that varying the polarization direction can significantly influence the natural frequencies,offering distinct advantages for piezoelectric elements with different polarizations.This research provides both theoretical insights and numerical methods for the structural de-sign of piezoelectric devices.

外文关键词：

piezoelectric laminated beamfree vibrationarbitrary polarizationstate-space equationdifferential quadrature methodnatural frequency

作者：

Zhi LI、Cuiying FAN、Mingkai GUO、Guoshuai QIN、Chunsheng LU、Dongying LIU、Minghao ZHAO

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作者单位：

School of Mechanics and Safety Engineering,Zhengzhou University,Zhengzhou 450001,China

School of Electromechanical Engineering,Henan University of Technology,Zhengzhou 450001,China

School of Civil and Mechanical Engineering,Curtin University,Western Australia 6845,Australia

School of Civil Engineering,Guangzhou University,Guangzhou 510006,China

Henan Province Industrial Science & Technology Institute for Anti-fatigue Manufacturing,Zhengzhou 450001,China

Henan Province Engineering Research Center of Anti-fatigue Manufacturing Technology,Zhengzhou 450001,China

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关键词：

piezoelectric laminated beam free vibration arbitrary polarization state-space equation differential quadrature method natural frequency

出版年：

2024

DOI：

10.1007/s10483-024-3182-9

应用数学和力学(英文版)

上海大学

应用数学和力学(英文版)

影响因子：0.294

ISSN：0253-4827

年,卷(期)：2024.45(11)