扁壳非线性弯曲的半解析摄动加权残值法(英文)

Method of Semi Analytic Perturbation Weighted Residuals for Nonlinear Bending of Shallow Shells

用半解析摄动加权残值法求解扁壳非线性弯曲问题 ,并采用 5次B样条函数作为试函数 .探究一种有效处理扁壳非线性弯曲问题的方法 .用该方法所得结果与已有结果相比具有较好的一致性 .该方法精度高 ,计算量少 ,适应性较广 ,且计算机程序设计简单 。

The semi? analytic perturbation weighted residuals method was used to solve the nonlinear bending problem of shallow shells, and the fifth order B spline was taken as trial function to seek an efficient method for nonlinear bending problem of shallow shells. The results from the present method are in good agreement with those derived from other methods. The present method is of higher accuracy, lower computing time and wider adaptability. In addition, the design of computer program is simple and it is easy to be programmed.