| 一种改进的弧长法及在结构后屈曲分析中的应用 |
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| 引用本文： | 朱菊芬,初晓婷.一种改进的弧长法及在结构后屈曲分析中的应用[J].应用数学和力学,2002,23(9):961-967. |
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| 作者姓名： | 朱菊芬 初晓婷 |
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| 作者单位： | 大连理工大学,工程力学系,大连,116023 |
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| 基金项目： | 航空科学基金资助项目 (0 0B0 10 0 1) |
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| 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，而拓宽了弧长江法的应用范围。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。
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| 关 键 词： | 弧长法 非线性 有限元 板／壳结构 后屈曲 |
| 文章编号： | 1000-0887(2002)09-0961-07 |
| 修稿时间： | 2001年3月9日 |
An Improved Arc-Length Method and Application in the Post-Buckling Analysis for Composite Structures |
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| ZHU Ju_fen,CHU Xiao_ting.An Improved Arc-Length Method and Application in the Post-Buckling Analysis for Composite Structures[J].Applied Mathematics and Mechanics,2002,23(9):961-967. |
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| Authors: | ZHU Ju_fen CHU Xiao_ting |
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| 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. |
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| Keywords: | non_linear finite element analysis arc_length method |
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