| 关于结构刚度修改的一个新算法 |
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| 引用本文： | 李正光,吴柏生.关于结构刚度修改的一个新算法[J].吉林大学学报(理学版),2003,41(1):36-39. |
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| 作者姓名： | 李正光 吴柏生 |
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| 作者单位： | 吉林大学数学学院， 长春 130012 |
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| 基金项目： | 国家自然科学基金(批准号:19972023). |
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| 摘 要： | 提出结构刚度修改的一个新算法. 该方法基于预条件共轭梯度法, 易于辅助、 能自适应地改进逼近精度, 适用于设计变量的大变化(包括单元删除
与几何变化), 可用于一般的有限元系统.
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| 关 键 词： | 结构修改 重分析 预条件共轭梯度法 |
| 文章编号： | 1671-5489(2003)01-0036-04 |
| 收稿时间： | 2002-07-09 |
| 修稿时间： | 2002年7月9日 |
A New Algorithm for Modification of Structural Stiffness |
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| LI Zheng-guang,WU Bai-sheng.A New Algorithm for Modification of Structural Stiffness[J].Journal of Jilin University: Sci Ed,2003,41(1):36-39. |
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| Authors: | LI Zheng-guang WU Bai-sheng |
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| Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | An iterative method is presented for the modification of structural stiffness. The present method is a preconditioned conjugate gradient-based technique and is intended to utilize the existing stiffness matrix fac
torization developed for the initial design. It can preserve the ease of impleme
ntation and improve significantly the quality of the results. In particular, the method can adaptively monitor the accuracy of approximate solutions. The method is suitable for general finite element systems. The computational cost is significantly reduced. It has been validated by numerical examples that the proposed reanalysis method can achieve excellent approximate results for large changes in cross-sections and in structural geometry. |
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| Keywords: | structural modifications reanalysis preconditioned conjugate gradient method |
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