以代数方法探讨结构系统再设计问题

王万益; 廖建义; 洪励吾

doi:10.3879/j.issn.1000-0887.2010.02.006

以代数方法探讨结构系统再设计问题

doi: 10.3879/j.issn.1000-0887.2010.02.006

中央大学机械工程学系,桃园,中国台湾;

详细信息

中图分类号: O242.21; O322
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出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2009-12-30
- 刊出日期: 2010-02-15

Dynamic Analysis of Redesigned Systems Using an Algebraic Method

Department of Mechanical Engineering, National Central University, Taoyuan, Taiwan, China;
Chung-Sun Institute of Science and Technology, Taoyuan, Taiwan, China

摘要

摘要: 利用矩阵修改理论探讨结构系统再设计问题，以等惯性转换求解动态劲度矩阵的隐根，并导出将特征值定位的计算方法；继而在隐根为已知下探讨隐向量的特质及解法，并确认修改后结构的振型必须区分成驻留性与非驻留性自然频率等两种状况处理．
- 等惯性转换 /
- 隐根 /
- 隐向量 /
- 对角主元排列
Abstract: Bymatrixm odification,the redesign of as tructural system was investigated.The inertia congruence trans formation was adopted to find the laten troots of a dynamic stiffness matrix,and a method for determining its eigenvalue was proposed.The characteristics of the laten tvector for a known latentroo,tand a method for computing it,were studied.The mode shapes of a redesigned structurem ust be handled differently based on whether the structure exhibits are persistentor non-persistent natural frequencies.
- congruence transformation /
- latent root /
- latent vector /
- diagonal pivoting

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参考文献(20)

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