Free vibration of piezoelectric semiconductor composite structure with fractional viscoelastic layer  

作　　者：Yansong LI Wenjie FENG Lei WEN 

机构地区：[1]College of Architecture and Civil Engineering,Guangdong University of Petrochemical Technology,Maoming,Guangdong Province,525000,China [2]Hebei Research Center of the Basic Discipline Engineering Mechanics,Shijiazhuang Tiedao University,Shijiazhuang,050043,China [3]Department of Engineering Mechanics,Shijiazhuang Tiedao University,Shijiazhuang,050043,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2025年第4期683-698,共16页应用数学和力学(英文版)

基　　金：supported by the National Natural Science Foundation of China(No.12372153);the Funding by Guangdong Basic and Applied Basic Research Foundation(No.2023A1515012366)。

摘　　要：In this study,the free vibration of a piezoelectric semiconductor(PS)composite structure composed of a PS layer,a fractional viscoelastic layer,and an elastic substrate with simply-supported boundary conditions is investigated.The fractional derivative Zener model is used to establish the constitutive relation of the viscoelastic layer.The first-order shear deformation theory and Hamilton's principle are used to derive the motion equations of the present problem.The frequency parameter is numerically resolved with the Newton-Raphson method through the eigenvalue equation.The effects of either geometric parameters,carrier density,and electric voltage applied on the surface of the composite structure or the fractional order of the Zener model on both the natural frequency and loss factor are discussed,and some interesting conclusions are drawn.This work will be helpful for designing and manufacturing PS materials and structures.

关 键 词：fractional viscoelastic material free vibration composite structure piezoelectric semiconductor(PS) 

分 类 号：O327[理学—一般力学与力学基础]