| 添加结构支撑约束的一种快速重分析算法 |
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| 引用本文： | 李正光,刘海峰,李多,阮芳.添加结构支撑约束的一种快速重分析算法[J].哈尔滨工业大学学报,2011(Z1):273-276. |
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| 作者姓名： | 李正光 刘海峰 李多 阮芳 |
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| 作者单位： | 吉林大学数学学院;西安交通大学理学院 |
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| 基金项目： | 吉林大学科学前沿与交叉学科创新项目(200903283),吉林大学大学生创新性实验计划项目(2010B31030) |
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| 摘 要： | 在结构设计优化中经常将结构支撑作为设计优化对象,支撑条件的修改导致系统的求解规模发生改变,使得快速准确分析修改后结构的响应成为一个挑战.本文发展了连续矩阵逆(SMI)方法,提出了添加结构支撑约束重分析的一种快速算法.该方法利用支撑修改后对应刚度矩阵的对称性,有效缩减了计算量.数值算例表明,本文方法能够快速给出精确结果.
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| 关 键 词： | 边界支撑修改 重分析 连续矩阵逆方法 |
Reanalysis of structures with added rigid supports |
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| LI Zheng-guang,LIU Hai-feng,LI Duo,RUAN Fang.Reanalysis of structures with added rigid supports[J].Journal of Harbin Institute of Technology,2011(Z1):273-276. |
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| Authors: | LI Zheng-guang LIU Hai-feng LI Duo RUAN Fang |
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| Affiliation: | 1(1.School of Mathematics,Jilin University,Changchun 130012,China,2.School of Science,Xi’an Jiaotong University,Xi’an 710049,China) |
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| Abstract: | The optimal layout of supports is one of the key factors that dominate static performances of the structure.The repeated system analyses in design and optimization of the location of rigid supports are difficult because the imposition or release of supports change the number of degrees of freedom of structures.This paper deals with reanalysis of structures with addition of rigid supports.A successive matrix inversion(SMI) method is developed and an efficient reanalysis algorithm is presented for such a problem.The symmetry of modified structural stiffness matrix is sufficiently utilized in the algorithm.Exact solution can be achieved by the proposed method.A numerical example is given to demonstrate the efficiency of the proposed algorithm. |
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| Keywords: | imposition of rigid supports static reanalysis SMI method |
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