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.
出处
《工程力学》
EI
CSCD
北大核心
2005年第3期224-227,81,共5页
Engineering Mechanics
关键词
功能梯度材料
剪切板
热环境
固有频率
动力响应
Dynamic response
Fourier transforms
Heat conduction
Natural frequencies
Plates (structural components)
Thermal effects
Vibrations (mechanical)
