Memon Bashir-Ahmed, Su Xiao-zu
Department of Structural Engineering, Tongji University, Shanghai 200092, China.
J Zhejiang Univ Sci. 2004 May;5(5):618-28. doi: 10.1631/jzus.2004.0618.
Nonlinear solution of reinforced concrete structures, particularly complete load-deflection response, requires tracing of the equilibrium path and proper treatment of the limit and bifurcation points. In this regard, ordinary solution techniques lead to instability near the limit points and also have problems in case of snap-through and snap-back. Thus they fail to predict the complete load displacement response. The arc-length method serves the purpose well in principle, received wide acceptance in finite element analysis, and has been used extensively. However modifications to the basic idea are vital to meet the particular needs of the analysis. This paper reviews some of the recent developments of the method in the last two decades, with particular emphasis on nonlinear finite element analysis of reinforced concrete structures.
钢筋混凝土结构的非线性求解，尤其是完整的荷载-挠度响应，需要追踪平衡路径并妥善处理极限点和分叉点。在这方面，普通的求解技术在极限点附近会导致不稳定，并且在结构跳跃和回弹的情况下也存在问题。因此，它们无法预测完整的荷载-位移响应。弧长法原则上能很好地满足这一需求，在有限元分析中得到了广泛认可，并被广泛应用。然而，对基本思想进行修改对于满足分析的特定需求至关重要。本文回顾了该方法在过去二十年中的一些最新进展，特别强调了钢筋混凝土结构的非线性有限元分析。
