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首页> 外文期刊>Finite elements in analysis & design >A novel approach to elasto-plastic finite element analysis of beam structures using the concept of incremental secant stiffness
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A novel approach to elasto-plastic finite element analysis of beam structures using the concept of incremental secant stiffness

机译：采用增量割线刚度概念的梁结构弹塑性有限元分析的新方法

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摘要

This paper presents an incremental secant stiffness formulation for materially non-linear analysis of planar beam structures under monotonically increasing external loads. To describe the elasto-plastic behaviour of a typical beam member, a set of non-dimensional plasticity coefficients are introduced to progressively deteriorate the elastic stiffness properties over an incremental load history. The proposed method is developed to provide the accuracy of distributed plasticity approaches, while maintaining the computational effectiveness of plastic hinge methods. By enforcing individual members to maintain equilibrium during plastic deformation, the spread-of-plasticity effects are automatically taken into account. It should be noted that the element stiffness matrix in present study is explicitly formulated, which renders numerical integrations unnecessary. In order to improve the efficiency of solution process, a direct iteration scheme based on the incremental secant stiffness is proposed as an alternative to the commonly used Newton-Raphson methods. The solution procedure is found to converge rapidly when casting into an incremental-iterative analysis. The present method has been implemented into a finite element computer program using FORTRAN. Results of numerical examples have demonstrated that the present approach appears to be robust and efficient in predicting the inelastic response of planar beam structures.
机译：本文提出了一种增量割线刚度公式，用于在单调增加的外部载荷下对平面梁结构进行实质非线性分析。为了描述典型梁构件的弹塑性行为，引入了一组无量纲可塑性系数，以在递增的载荷历史上逐渐降低弹性刚度特性。提出的方法旨在提供分布式可塑性方法的准确性，同时保持塑料铰链方法的计算效率。通过强制各个成员在塑性变形过程中保持平衡，可自动考虑塑性扩散效应。应该注意的是，本研究中的单元刚度矩阵是明确制定的，因此不需要进行数值积分。为了提高求解过程的效率，提出了一种基于增量割线刚度的直接迭代方案，作为常用牛顿-拉夫森方法的一种替代方案。当转换为增量迭代分析时，发现求解过程可以快速收敛。使用FORTRAN将本方法实现为有限元计算机程序。数值示例的结果表明，本方法在预测平面梁结构的非弹性响应方面似乎是强大而有效的。

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