梯形板的几何非线性分析

Geometrically Nonlinear Analysis of Trapezoidal Plates

本文利用坐标变换，将梯形板的梯形域变换为正方形域，以双重三角级数为试函数，联合应用最小二乘配点法和修正迭代法求解梯形板的几何非线性弯曲问题，将非线性边值问题化为线性迭代格式，计算简便可行，效果良好．

In this Paper. trapezoidal plates are transformed to a square domain by using coordinate transformation, and the Least-square collocation and modified iteration methods are used to solve the geometrically nonlinear problem of the plates using double triangular series as trial functions. It is not difficult to design the competer program and the results obtained are satisfactary.