Nonlinear thickness-shear vibration of an infinite piezoelectric plate with flexoelectricity based on the method of multiple scales

作     者：Yang ZHENG Bin HUANG Lijun YI Tingfeng MA Longtao XIE Ji WANG Yang ZHENG;Bin HUANG;Lijun YI;Tingfeng MA;Longtao XIE;Ji WANG

作者机构：Key Laboratory of Impact and Safety EngineeringMinistry of EducationNingbo UniversityNingbo 315211Zhejiang ProvinceChina Piezoelectric Device LaboratoryFaculty of Mechanical Engineering&MechanicsNingbo UniversityNingbo 315211Zhejiang ProvinceChina 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2022年第43卷第5期

页      面：653-666页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Natural Science Foundation of China(No.11702150) the Natural Science Foundation of Zhejiang Province of China(Nos.LY20A020002 and LY21A020003) the Natural Science Foundation of Ningbo(No.202003N4015) the Project of Key Laboratory of Impact and Safety Engineering(Ningbo University) the Ministry of Education(No.CJ202009) the Technology Innovation 2025 Program of Municipality of Ningbo(No.2019B10122) 

主　　题：thickness-shear vibration piezoelectric plate size effect flexoelectric effect 

摘      要：This paper presents a nonlinear thickness-shear vibration model for onedimensional infinite piezoelectric plate with flexoelectricity and geometric *** constitutive equations with flexoelectricity and governing equations are derived from the Gibbs energy density function and variational *** displacement adopted here is assumed to be antisymmetric through the thickness due to the thickness-shear vibration *** the shear strain gradient through the thickness is considered in the present *** geometric nonlinearity,the governing equations are converted into differential equations as the function of time by the Galerkin *** method of multiple scales is employed to obtain the solution to the nonlinear governing equation with first order *** results show that the nonlinear thickness-shear vibration of piezoelectric plate is size dependent,and the flexoelectric effect has significant influence on the nonlinear thickness-shear vibration frequencies of micro-size thin *** geometric nonlinearity also affects the thickness-shear vibration frequencies *** results show that flexoelectricity and geometric nonlinearity cannot be ignored in design of accurate high-frequency piezoelectric devices.