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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,计算过程也更加简便可以认为用加权残数法解此类问题能够达到预期效果
The finite element method has the characteristics of strong computational ability and high universality. However, the finite element method has its limitations for some specific problems. For example, the sandwich plate with the orthotropic surface is anisotropic, the finite element calculation result and experimental result error Large, difficult to meet the accuracy requirements In order to solve such problems, the paper is based on the introduction of curved differential equations of the orthotropic material sandwich plate, using the weighted residuals collocation method to find the approximate solution, in the x direction and y The basic function of the direction selection B-spline function is the trial function The method is simple, the calculation workload is small, and it is applicable to different boundary conditions. In this paper, The calculation results are closer to the experimental results and the calculation process is easier. We can think that solving these problems with weighted residuals can achieve the expected results