Dynamic Analysis of Redesigned Systems Using an Algebraic Method

WANG Wan-yi; LIAO Jen-yi; HOURNG Lih-wu

doi:10.3879/j.issn.1000-0887.2010.02.006

Volume 31 Issue 2

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WANG Wan-yi, LIAO Jen-yi, HOURNG Lih-wu. Dynamic Analysis of Redesigned Systems Using an Algebraic Method[J]. Applied Mathematics and Mechanics, 2010, 31(2): 171-179. doi: 10.3879/j.issn.1000-0887.2010.02.006

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Dynamic Analysis of Redesigned Systems Using an Algebraic Method

doi: 10.3879/j.issn.1000-0887.2010.02.006

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

Received Date: 1900-01-01
Rev Recd Date: 2009-12-30
Publish Date: 2010-02-15

Abstract

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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References(20)

References

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