Nonlinear free vibration of piezoelectric semiconductor doubly-curved shells based on nonlinear drift-diffusion model

作     者：Changsong ZHU Xueqian FANG Jinxi LIU Changsong ZHU;Xueqian FANG;Jinxi LIU

作者机构：State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering StructuresShijiazhuang Tiedao UniversityShijiazhuang 050043China Key Laboratory of Mechanical Behavior Evolution and Control of Traffic Engineering Structures in HebeiShijiazhuang 050043China School of Environment and Civil EngineeringDongguan University of TechnologyDongguan 523808Guangdong ProvinceChina 

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

年 卷 期：2023年第44卷第10期

页      面：1761-1776页

核心收录：

学科分类：08[工学] 0801[工学-力学（可授工学、理学学位）] 080102[工学-固体力学] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 12172236, 12202289,and U21A20430) the Science and Technology Research Project of Hebei Education Department of China (No. QN2022083)。 

主　　题：nonlinear free vibration piezoelectric semiconductor(PS)doubly-curved shell nonlinear drift-diffusion(NLDD)model linearized drift-diffusion(LDD)model 

摘      要：In this paper, the nonlinear free vibration behaviors of the piezoelectric semiconductor(PS) doubly-curved shell resting on the Pasternak foundation are studied within the framework of the nonlinear drift-diffusion(NLDD) model and the first-order shear deformation theory. The nonlinear constitutive relations are presented, and the strain energy, kinetic energy, and virtual work of the PS doubly-curved shell are derived.Based on Hamilton s principle as well as the condition of charge continuity, the nonlinear governing equations are achieved, and then these equations are solved by means of an efficient iteration method. Several numerical examples are given to show the effect of the nonlinear drift current, elastic foundation parameters as well as geometric parameters on the nonlinear vibration frequency, and the damping characteristic of the PS doublycurved shell. The main innovations of the manuscript are that the difference between the linearized drift-diffusion(LDD) model and the NLDD model is revealed, and an effective method is proposed to select a proper initial electron concentration for the LDD model.