【摘要】 针对大挠度板非线性耦合偏微分方程组的求解 ,提出了变量转换循环迭代加权余量法。这种方法通过变量转换、构造迭代格式和加权余量法近似求解 ,使原问题易于解决。以正交各向异性矩形薄板在横向荷载和面内荷载作用下的几何非线性弯曲问题为例 ,推导了具体求解公式 ,说明了方法的原理 ,并给出了数值算例更多还原

【Abstract】 A weighted residual method with variable conversion and cyclic iteration is proposed in this paper , which facilitates the approximate solution of nonlinear coupling partial differential equations of large deflection plate. This method is applied to analyse the geometrical nonlinear bending problem of thin orthotropic rectangular plate under horizontal and planar loads. The exact solution to the problem is derived . Its principle is explained and the calculation examples with certain data are given.更多还原