用无网格有限点方法对柔性板的大挠度分析

基于级数展开的经典差分法只适用于分析具有简单几何特性、加载和边界条件的板。相反,有限元法却可以广泛应用于分析柔性板(弯曲和平面内作用)。应力不连续以及网格划分复杂导致了无网格分析法的出现,如有限点法(FPM)。有限点法是结合了带插值的最小二乘法和不规则点分布的一种方法,可以采用其推导出系统的控制方程。研究中,采用耦合的4阶非线性偏微分方程,分析板在侧向和平面内加载作用下的大挠度性能。研究中同时也解决了板的其他一些问题,并且利用其他的数值分析结果对文中提出的方法进行了评估。

Large Deflection Analysis of Flexible Plates by the Meshless Finite Point Method

The classical finite difference technique and methods based on series expansions can only be adopted for solving plates with simple geometry,loading and boundary conditions.In contrast,the finite element method has been widely used for general analysis of bending and flexible plates (coupled bending and in-plane effects).Lack of stress continuity and relatively expensive mesh generation and remeshing schemes have led to the emergence of meshless methods,such as the finite point method (FPM).FPM is a strong ...