摘要
根据双调和方程边值问题的边界积分公式,求得了一般载荷作用下悬臂半无限大板的弯曲解,在此基础上求解了不同边界条件下几种半无限大板的弯曲问题.其解式收敛速度快、计算精度高,计算过程相对简单,并与相应有限元解进行了对比分析.
Based on the boundary integral formula for the boundary value problems of bi-harmonic equations,genernal bending solutions to clamped semi-infinite plates under arbitrary lateral loads are obtained. Then, some bending problems of clamped semi-infinite plates with different boundary conditions are solved. These solutions are with higher convergence and computational accuracy together with a relatively simple calculation processr. Comparison with the finite element results is conducted finally.
出处
《固体力学学报》
CAS
CSCD
北大核心
2009年第1期95-99,共5页
Chinese Journal of Solid Mechanics
基金
国家重点基础研究发展计划(2007CB209400)
国家自然科学基金项目(50774077)、(50774081)资助
关键词
悬臂半无限大板
边界积分公式
非对称弯曲
GREEN函数
clamped semi infinite plate, boundary integral formula, non-symmetric bending, Green function
