悬臂半无限大板弯曲的边界积分公式  

BOUNDARY INTEGRAL FORMULA FOR BENDING OF CLAMPED SEMI-INFINITE PLATE

作　　者：刘俊[1,2] 董正筑[1] 李法善[2] 

机构地区：[1]中国矿业大学理学院,徐州221008 [2]华东计算技术研究所,上海200233

出　　处：《固体力学学报》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

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.

关 键 词：悬臂半无限大板 边界积分公式 非对称弯曲 GREEN函数 

分 类 号：O302[理学—力学]