摘要
研究了非线性大变形、层合壳的铺设形式、转动惯量及热载荷效应对波在压电层合壳中传播的影响。首先利用Hamilton最小势能变分原理推导了波在大变形压电层合壳内传播的非线性动力学平衡方程;通过求解方程特征值得到了波传播特征曲线;数值算例表明波在压电层合壳内传播与壳体大变形、转动惯量以及热载荷有关,并与线性小变形理论(Cooper-Naghdi壳体理论)进行了比较。
Wave propagation in piezoelectric laminated cylindrical shell is studied considering the effect of nonlinear deformation, thermal loads and rotary inertia. From Hamilton＇s principle, wave propagation goveming equations of piezoelectric laminated cylindrical shells are derived. Wave propagation characteristic curve are obtained by solving an eigenvalue problem. The effect of nonlinear deformations, rotary inertia and thermal loads on wave propagation characteristic in piezoelectric laminated cylindrical shells is discussed through numerical examples. To verify the method, the result considering the effect of linear deformation on wave propagation in piezoelectric laminated cylindrical shells is compared with those obtained with different analytical methods in other literature.
出处
《工程力学》
EI
CSCD
北大核心
2007年第1期157-161,共5页
Engineering Mechanics
关键词
压电层合壳
波传播
HAMILTON原理
大变形
转动惯量
热载荷
piezoelectric laminated cylindrically shells
wave propagation
hamilton＇s principle
nonlinear deformations
rotary inertia
thermal loads Cooper-Naghdi
