Nonlinear Normal Modes and Their Superposition in a Two Degrees of Freedom Asymmetric System with Cubic Nonlinearities

Xu Jian; Lu Qishao; Huang Kelei

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Xu Jian, Lu Qishao, Huang Kelei. Nonlinear Normal Modes and Their Superposition in a Two Degrees of Freedom Asymmetric System with Cubic Nonlinearities[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1077-1086.

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Nonlinear Normal Modes and Their Superposition in a Two Degrees of Freedom Asymmetric System with Cubic Nonlinearities

Department of Applied Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China

Received Date: 1996-09-02
Rev Recd Date: 1997-03-20
Publish Date: 1998-12-15

Abstract

Abstract

This paper investigates nonlinear normal modes and their superposition in a two degrees of freedom asymmetric system with cubic nonlinearities for all nonsingular conditions,based on the invariant subspace in nonlinear normal modes for the nonlinear equations of motion.The focus of attention is to consider relation between the validity of superposition and the static bifurcation of modal dynamics.The numerical results show that the validity has something to do not only with its local restriction,but also with the static bifurcation of modal dynamics.
- nonlinear normal mode,
- asymmetric system,
- nonlinear vibration,
- nonlinear dynamics,

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References(11)

References

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