用摄动—加权残值联合法求解圆板大挠度问题

先用正则摄动法求得摄动展开中的各阶函数 ,然后以此函数作为试函数 ,采用加权残值法计算待定系数 ,从而得出其近似解 文中给出了均布荷载作用下周边固支圆板的算例 ,结果表明 ,其结果与摄动解相比具有更高的精度

Hybrid Methods of Perturbation- weighted Residual for Large Deflection of Circular

A hybrid perturbation - weighted residual method is proposed for large deflection of circular in this paper. First, an orthogonal method is used to calculate get the perturbation into a series of functions. Then, a weighted residual method is applied to compute the coefficients of the function series, and thus to obtain the approximate solution. Finally, an example of a round supported circular under uniform load is given in this paper. The example shows that the solution is more accurate than that of the perturbation method.