摘要
采用逆解法求解了均布荷载作用下压电材料简支梁的解析解· 首先给出应力函数和电位移函数的多项式表达式,进而根据相容方程以及应力和电位移、位移和电势的边界条件,求得了同时考虑材料弹性参数、密度参数和压电参数呈梯度变化时。
Using the inverse method, the analytical solution of a simply supported piezoelcetric beam subjected to a uniformly distributed loading has been studied.First,the polynomials of stress function and induction function are given.Then, considering the gradient properties of the elastic parameter and the potential funciton as well as the piezoelectric parameter,the analytical solution of a simply supported beam subjected to a uniformly distributed loading is obtained and discussed.
出处
《应用数学和力学》
CSCD
北大核心
2003年第10期1075-1082,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(50272003)
高等学校优秀青年教师教学科研奖励计划基金资助项目(教人司2000[26]号)
关键词
简支梁
FGM
解析解
压电材料
simply supported beam: FGM
analytical solution
piezoelectric material
