带压电层的混合层合板的自由振动和动力响应  

Free Vibration and Dynamic Response of Hybrid Laminated Plates with Piezoelectric Layers

作　　者：黄小林[1] 沈惠申[2] 

机构地区：[1]上海交通大学筑工程与力学学院 [2]上海交通大学建筑工程与力学学院,上海200030

出　　处：《力学季刊》2004年第1期107-112,共6页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(50375091)

摘　　要：基于Reddy高阶剪切变形理论和广义Kármán型方程,用双重Fourier级数展开法求得了四边简支带压电层的混合层合剪切板的自由振动及动力响应的解析解,分析中考虑了热/机/电荷载共同作用,并讨论了温度变化、控制电压、铺层方式对固有频率及动力响应的影响。Based on Reddy's higher order shear deformable plate theory and general von K(?)rm(?)n-type equations, analytical solutions for free vibration and dynamic response of simply supported shear deformable laminated plates with piezoelectric layers subjected to piezo-thermo-mechanical loads were presented by using double Fourier series. Effects of temperature rise, control voltage and the stacking sequences on the natural frequency and dynamic response of the plate were also studied.

关 键 词：压电材料 混合层合板 固有频率 动力响应 自由振动 双重Fourier级数展开法 结构振动 

分 类 号：O327[理学—一般力学与力学基础]