摘要
基于三维弹性理论和压电理论 ,导出了有限长矩形压电功能梯度板的动力学方程及相应的边界条件 ,并用幂级数展开法进行了求解 .得到了压电功能梯度板自由振动的三维精确解公式 ,求解了自由振动的固有频率 ,并分析了压电系数的梯度变化对不同电学边界条件下压电板的自由振动频率的影响 .结果可用于校核不同的近似理论及理解压电结构的动态行为 .
An exact analysis of the free vibration of a functionally gradient piezoelectric plate is presented. The solution of the derived governing differential equations is obtained through the power series expansion method. The natural frequencies and the modal distributions of free vibration of a functionally gradient piezoelectric plate are investigated. The influence of the direct and inverse piezoelectric effects on natural frequencies is also discussed. Results presented here can be used to assess various approximate theories and enhance the understand of the dynamic response behavior of piezoelectric structures.
出处
《固体力学学报》
CAS
CSCD
北大核心
2003年第1期75-82,共8页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金 (50 2 3 50 3 0
10 132 0 10 )
西安交通大学博士学位基金资助
关键词
三维解
功能梯度材料
压电特性
压电效应
振动频率
压电材料
functionally gradient materials,piezoelectric properties,piezoelectric effect,natural frequency
