功能梯度材料板在热环境与横向载荷共同作用下的非线性振动分析  

Nonlinear Vibration Analysis of Functionally Graded Materials Plate in Transverse Load and Thermal Environment

作　　者：朱江辉 林华刚[3] 张雪莉[3] 常晓通 ZHU Jianghui;LIN Huagang;ZHANG Xueli;CHANG Xiaotong(School of Automation,Northwestern Polytechnical University,Xi′an 710072,China;Chinese Flight Test Establishment,Xi′an 710089,China;School of Mechanics,Civil Engineering&Architecture,Northwestern Polytechnical University,Xi′an 710072,China)

机构地区：[1]西北工业大学自动化学院,西安710072 [2]中国飞行试验研究院,西安710089 [3]西北工业大学力学与土木建筑学院,西安710072

出　　处：《机械科学与技术》2023年第10期1735-1744,共10页Mechanical Science and Technology for Aerospace Engineering

基　　金：陕西省自然科学基础研究计划项目(2021JQ-072)。

摘　　要：本文进行了功能梯度材料板在横向载荷和热载荷作用下的非线性振动特性研究。基于Hamilton原理,采用Reddy的3阶剪切变形理论和Von-Karman理论建立了功能梯度材料板(物理性质随温度变化,材料成分分布服从幂率原理)结构的非线性振动方程,利用Galerkin方法将偏微分方程截断为常微分方程,并利用多尺度方法求解非线性系统的主共振。分别讨论了不同参数下板的幅频响应,观察到了多值和跳变现象。Nonlinear vibration characteristics of functionally graded materials plates in transverse load and thermal environment are investigated.Based on the Hamilton principle,Reddy′s three order shear deformation theory and Von-Karman theory are employed to establish the nonlinear vibration equation,in which the physical properties vary with the temperature and the material composition distribution obeys a power-law principle.The partial differential equations are truncated into the ordinary differential equations with the Galerkin method,and the multi-scale method is used to obtain the solution of primary resonance of the nonlinear systems.The amplitude frequency response of plates with different parameters are discussed,and the multi-values and jumping phenomena are observed.

关 键 词：功能梯度材料板 热屈曲 多尺度分析 主共振 

分 类 号：TB123[理学—工程力学]