| 前屈曲分析中的局部线性化方法 |
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| 引用本文： | 程再玲,韩承双.前屈曲分析中的局部线性化方法[J].安徽建筑工业学院学报,2005,13(2):10-13. |
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| 作者姓名： | 程再玲 韩承双 |
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| 作者单位： | 安庆师范学院数学系 安庆246011
(程再玲)，安庆师范学院计算机系 安庆246011(韩承双) |
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| 摘 要： | 非线性有限元分析,最终都归结为求解非线性代数方程组或非线性特征值问题。在增量法的解点上,利用局部线性化方法,将非线性特征值问题化为线性特征值问题。对于特征值问题的求解,本文给出了以主对角元素构造的原点平移加速算法的迭代计算公式。最后通过算例验证了本算法良好的收敛特性,计算结果是令人满意的。
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| 关 键 词： | 前屈曲 线性化 临界载荷 有限元 |
| 文章编号： | 1006-4540(2005)02-010-04 |
| 修稿时间： | 2005年1月25日 |
Local linearization mothed in pre-buckling analysis |
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| CHENG Zai-ling ,HAN Cheng-shuang.Local linearization mothed in pre-buckling analysis[J].Journal of Anhui Institute of Architecture(Natural Science),2005,13(2):10-13. |
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| Authors: | CHENG Zai-ling HAN Cheng-shuang |
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| Affiliation: | CHENG Zai-ling 1,HAN Cheng-shuang 2 |
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| Abstract: | Nonlinear finite element analysis is virtually the solution of nonlinear algebraic equations or characteristic value. On the basis of solution points of incremental method and by adopting local linearization,the nonlinear characteristic value is reduced to linear characteristic value. For the solution of characteristic value, this paper presents an iterative algorithm which speeds up convergence by the origin parallel translation formed from main-diagonal elements. Numerical examples are given to validate the proposed method and satisfactory results are obtained. |
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| Keywords: | pre-buckling linearization critical load finite element method |
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