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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (2): 183-192.doi: https://doi.org/10.1007/s10483-010-0206-x

• Articles • 上一篇    下一篇

Dynamic analysis of redesigned systems using algebraic method

王萬益1 廖建義2 洪勵吾1   

  1. 1. Department of Mechanical Engineering, National Central University, Taoyuan, Taiwan, P. R. China;
    2. Chung-Sun Institute of Science and Technology, Taoyuan, Taiwan, P. R. China
  • 收稿日期:2009-08-24 修回日期:2009-12-23 出版日期:2010-02-01 发布日期:2010-02-01

Dynamic analysis of redesigned systems using algebraic method

WANG Wan-Yi1, LIAO Jian-Yi2, HONG Li-Wu1   

  1. 1. Department of Mechanical Engineering, National Central University, Taoyuan, Taiwan, P. R. China;
    2. Chung-Sun Institute of Science and Technology, Taoyuan, Taiwan, P. R. China
  • Received:2009-08-24 Revised:2009-12-23 Online:2010-02-01 Published:2010-02-01

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摘要： This study investigates the redesign of a structural system with the matrix modification. The inertia congruence transformation is adopted to find the latent roots of a dynamic stiffness matrix, and a method for determining its eigenvalue is proposed. The characteristics of the latent vector for a known latent root and a method for computing it are studied. The mode shapes of the redesigned structure must be differently handled based on whether the structure exhibits persistent or non-persistent natural frequencies.

Abstract: This study investigates the redesign of a structural system with the matrix modification. The inertia congruence transformation is adopted to find the latent roots of a dynamic stiffness matrix, and a method for determining its eigenvalue is proposed. The characteristics of the latent vector for a known latent root and a method for computing it are studied. The mode shapes of the redesigned structure must be differently handled based on whether the structure exhibits persistent or non-persistent natural frequencies.

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