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一、引言大跨度铁路桁架桥的桁宽,往往由稳定条件控制。随着电子计算机应用的普及与提高,空间结构的稳定分析已成为可能。本文从弹性力学基本公式入手,用矩阵公式先推导考虑位移的非线性部分的有限元基本公式,再建立稳定方程,最后用几个简单算例检验本文计算公式。用有限元法分析大跨度铁路桁梁,一般节点很多,自由度更多,如何在中小型电子计算机上解大型结构的稳定问题,需要一种技巧。本文所介绍的这种技巧已在“504”桥模型与西江桥模型的空间静力与振动计算中被证明是行之有效的。
I. INTRODUCTION The truss width of long-span railway truss bridges is often controlled by stable conditions. With the popularization and improvement of computer applications, the stability analysis of spatial structure has become possible. In this paper, the basic formulas of elasticity are introduced. The matrix formula is used to derive the basic formula of finite element considering the nonlinear part of the displacement, and then the stability equation is established. Finally, several simple examples are used to test the formula. Finite element analysis of long-span railway truss girder, the general node a lot more freedom, how to solve the stability of large structures on small and medium-sized computer requires a skill. The technique described in this paper has proved to be effective in the calculation of the aerostatic and vibration of the “504” bridge model and the Xijiang bridge model.