A Method of Finding the Principal Modes of Nonlinear Vibration Systems and Their Stabilities

Liu Lian-sheng; Huo Quan-zhong; Huang Ke-lei

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(6): 505-512

Liu Lian-sheng, Huo Quan-zhong, Huang Ke-lei. A Method of Finding the Principal Modes of Nonlinear Vibration Systems and Their Stabilities[J]. Applied Mathematics and Mechanics, 1987, 8(6): 505-512.

Citation:

Liu Lian-sheng, Huo Quan-zhong, Huang Ke-lei. A Method of Finding the Principal Modes of Nonlinear Vibration Systems and Their Stabilities[J]. Applied Mathematics and Mechanics, 1987, 8(6): 505-512.

Citation:

Liu Lian-sheng, Huo Quan-zhong, Huang Ke-lei. A Method of Finding the Principal Modes of Nonlinear Vibration Systems and Their Stabilities[J]. Applied Mathematics and Mechanics, 1987, 8(6): 505-512.

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A Method of Finding the Principal Modes of Nonlinear Vibration Systems and Their Stabilities

1.
Beijing Institute of Aeronautics and Astronautics, Beijing;
2.
Tianjin University, Tianjin

Received Date: 1986-03-24
Publish Date: 1987-06-15

Abstract

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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References(6)

References

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