摘要
有限元法具有计算能力强、通用性强的特点，但对于某些具体问题有限元法有它的局限性，如对表层为正交异性材料的夹层板，有限元的计算结果和实验结果误差较大，难以满足精度要求为解决此类问题，本文在表层为正交异性材料夹层板的弯曲微分方程推出的基础上，采用加权残数配点法来求其近似解，在 ｘ 方向和ｙ 方向选取 Ｂ 样条函数构成的基函数为试函数方法简便，计算工作量小，对不同的边界条件都可适用文中着重分析了四边固支的情况经对比不难发现加权残数法的计算结果和实验结果更为接近。
The finite element method has the characteristics of strength in the computation capability and the universal character. But it has limitations for some practical problem.For example,as the error of the finite elements caculative and experimental results on the sandwich plates with orthotropic facial layers is very bigger,it is difficult to meet the precision demands. To solve the problem, according to equations of the sandwich plates with orthotropic facial layers, the paper pursues the approximate calculation by virtue of the method of weighted resicluals collocation and basic function formed through cubic basic spline function which is chosen to be the trial function in x and y axes. The method is simple, the amount of calculative work is small and it is suitable for different border condition. The paper puts emphasis on analyzing the case of four edges fixed. In order to compare conveniently ,it gives a calculation by the method of finite element and can be found out that both calculative results and experimental results of the weighted residuals method are very near. In the meantime, the calculative process is very simple. The desired results to solve the problems can be achieved by the weighted residuals method.
出处
《江苏理工大学学报（自然科学版）》
1999年第5期83-87,共5页
Journal of Jiangsu University of Science and Technology(Natural Science)
关键词
加权残数法
样条函数
夹层板
正交异性
weighted residual method
spline functions
sandwich plates
