摘要
基于三维弹性理论,导出了带有压电层的圆柱形梯度壳的动力学方程以及相应的边界条件.用幂级数展开法得到了求解该圆柱形梯度壳自由振动的三维精确公式.通过实例模型求解了该壳体的自由振动的固有频率;分析了不同电学边界条件对壳体的振动频率的影响。结果可评估各种近似理论解和数值解的正确性。
Based on 3D elastic theory, the dynamic equations and corresponding boundary conditions about the cylindrical functionally graded shell bonded piezoelectric layers were presented. The 3D exact equations to solve free vibration of the cylindrical shell were obtained by using power series expansion method. The numerical examples were given and the effects about electric conditions on the natural frequencies were analyzed. The results can be used to evaluate various approximate theories solutions and the accuracy of numerical solutions.
出处
《力学季刊》
CSCD
北大核心
2005年第1期20-29,共10页
Chinese Quarterly of Mechanics
基金
国家自然科学基金(50135030和10132010)
关键词
梯度壳
振动频率
幂级数法
压电特性
functionally graded shell
natural frequency
power series method
piezoelectric properties
