TL法和UL法对刚架弹性大位移分析的适用性

本文分别基于Total Lagrange(TL)和Updated Lagrange(UL)描述分别导出了适用于刚架问题几何非线性分析的有限元公式系统,并研制了相应的计算程序,文中从量化的角度讨论了上述两种列式方法在通常情况下的适用性,并研究了诸如有限单元划分、杆件中轴向力的大小以及采用通常积分方法或积分平均化方法时等多种因素对于有限单元TL法和UL法适用性方面的影响,本文得出了一些相对量化的结论,对于非线性有限元方法的实际工程应用具有一定的指导意义。

Feasibility of TL and UL Method for Large Displacement Analysis of Elastic Frames

In this paper, based on Total Lagrange (TL) and Updated Lagrange(UL) descriptions, two series of finite element formulations for geometrically nonlinear analysis of elasic frames are presented and programmed. The applicability of two methods in general situation and the facts influencing the applicability, such as element dividing, axial force level existing in members and different integrating methods, are studied quantitatively. The conclusions obtained in this paper may be useful to practical engineering applications of nonlinear finite element method.