Nonlinear normal modes and their superposition in a two degrees of freedom asymmetric system with cubic nonlinearities

被引：0
|
作者：
Jian X. [1 ]
Qishao L. [1 ]
Kelei H. [1 ]
机构：
[1] Department of Applied Mathematics and Physics, Peking University of Aeronautics and Astronautics
来源：
Applied Mathematics and Mechanics | 1998年 / 19卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Asymmetric system; Nonlinear dynamics; Nonlinear normal mode; Nonlinear vibration;
D O I：
10.1007/BF02456638
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：1167 / 1177
页数：10
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