平面杆系结构非线性稳定的样条有限元分析法

Finite Spline Function Element Analysis for Nonlinear Stability of Planar Member Structures

本文根据ＵＴＬ坐标列式，采用混合样条插值函数，基于虚功原理导出了平面杆系结构非线性稳定的样条有限元分析法。本文方法可以考虑杆件中初始挠度和初始应力的影响，可以计入材料的弹塑性加载卸载效应。算例表明，本文计算结果具有较高的精度。

In this paper,a finite spline function element method is presented for nonlinear stabilityanalysis of planar member structures, based on the Update Total Lagrangian formulation.The equilibrium equation is established according to the principle of virtual work.The initialdeflections and initial stresses of members can be considered and the loading,unloading andreloading of material in elastoplastic range can be taken into account.Numerical examplesshow that the theory of、this paper can lead to accurate analyzing results.