热环境下功能梯度材料板的自由振动和动力响应  

FREE VIBRATION AND DYNAMIC RESPONSE OF FUNCTIONALLY GRADED PLATES IN THERMAL ENVIRONMENTS

作　　者：黄小林[1,2] 沈惠申[1] 

机构地区：[1]上海交通大学建筑工程与力学学院 [2]上海交通大学船舶与海洋工程学院,上海200030

出　　处：《工程力学》2005年第3期224-227,81,共5页Engineering Mechanics

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功能梯度材料板的自由振动及动力响应的解析解,分析中考虑了热传导以及组分材料热物参数对温度变化的依赖性,讨论了材料组分指数和热环境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 Ka´rma´n-type equations, analytical solutions of free vibration and dynamic response of simply supported functionally graded plates subjected to transverse dynamic loads and thermal effects are presented using double Fourier series. Heat conduction and temperature-dependent material properties are both taken into account. Effects of volume fraction index and thermal environments on natural frequencies and dynamic response are also studied.

关 键 词：功能梯度材料 剪切板 热环境 固有频率 动力响应 

分 类 号：TU311[建筑科学—结构工程] O327[理学—一般力学与力学基础]