薄板弯曲计算的一个新途径

将无单元法与薄板弯曲问题的边界积分方程方法相结合,用非奇异基本解建立边界积分方程,提出了无奇异积分的边界无单元法.以带权的正交函数作为基函数,克服了滑动最小二乘法容易形成病态方程组的缺点.计算结果表明,无奇异积分的边界单元法计算薄板问题计算量小,精度高.

New approach for calculation of bending problem of thin plate

Combining the element-free method and the boundary integral equation method for bending problem of thin plate,a boundary element-free method without singular integration is presented by using non-singular fundamental solution to establish the boundary integral equation.Using the orthogonal function system mixed a weight function as the basis function,the drawback of forming an ill-conditioned system of equations for the moving least-square approximation method is overcome.The calculation results show that the boundary element-free method without singular integration for calculation of bending problem of thin plate has less calculation and higher computational precision.