【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.更多还原

【Abstract】 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.更多还原