A method of finding the principal modes of nonlinear vibration systems and their stabilities |
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| Authors: | Liu Lian-sheng Huo Quan-zhong Huang Ke-lei |
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| Institution: | 1. Beijing Institute of Aeronautics and Astronautics, Beijing;
2. Tianjin University, Tianjin;
3. Beijing Institute of Aeronautics and Astronautics, Beijing |
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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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| Keywords: | impulsive control stabilization synchronization Lur’e system |
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