一种改进的弧长法及在结构后屈曲分析中的应用

基金项目: 航空科学基金资助项目(00B01001)

An Improved Arc-Length Method and Application in the Post-Buckling Analysis for Composite Structures

Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China

摘要: 基于一般的弧长法,提出了一种高效的改进弧长法.通过对增量弧长作了以考虑结构刚度变化为主的加权修正和利用已知平衡点信息的外插修正,而大大提高了求解效率;利用对累加弧长和期望弧长作近似展开的方法使求解能收敛到预定的载荷值,而拓宽了弧长法的应用范围.两个典型算例表明,采用改进的弧长法在板/壳结构后屈曲分析中,无论是追踪后屈曲的全程路径,还是求得指定载荷点的收敛解都有良好的适应性和较高的效率.
- 弧长法 /
- 非线性 /
- 有限元 /
- 板/壳结构 /
- 后屈曲
Abstract: Based on the conventional arc-length method, an improved arc-length method with high-efficiency is proposed. The weighted modifications with respect to the variation of structural stiffness and extra-interpolation modification by using the information of known equilibrium points are introduced to improve the incremental arc-length. An approximate expansion method for the accumulated and expected arc-length is used to ensure the convergence at given load levels in large range of applications. Numerical results show that the improved arc-length method has well adaptability and higher efficiency in the post-buckling analysis of plates and shells structures for tracing whole load-deflection path and obtaining the convergence values at any specified load levels.
- non-linear /
- finite element analysis /
- arc-length method /

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