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A method of finding the principal modes of nonlinear vibration systems and their stabilities

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Abstract

This paper presents a new method of finding the principal modes of nonlinear vibration systems, by means of which the problem of finding principal modes of nonlinear systems is transferred to the problem of finding real roots of a set of algebraic equations. The method is applicable to various kinds of nonlinear vibration systems with many degrees of freedom, and is simple in calculation. The paper presents another new method of analyzing the stabilities of principal modes of nonlinear systems.

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Authors and Affiliations

  1. Beijing Institute of Aeronautics and Astronautics, Beijing

    Liu Lian-sheng & Huang Ke-lei

  2. Tianjin University, Tianjin

    Huo Quan-zhong

Authors
  1. Liu Lian-sheng
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  2. Huo Quan-zhong
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  3. Huang Ke-lei
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Communicated by Li Li

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Lian-sheng, L., Quan-zhong, H. & Ke-lei, H. A method of finding the principal modes of nonlinear vibration systems and their stabilities. Appl Math Mech 8, 523–531 (1987). https://doi.org/10.1007/BF02017401

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  • DOI: https://doi.org/10.1007/BF02017401

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