This paper summarizes the authors' research on local bifurcation theory of nonlinear systems with parametric excitation since 1986. The paper is divided into three parts. The first one is the local bifurcation problem of nonlinear systems with parametric excitation in cases of fundamental harmonic,
Local bifurcation analysis of strongly nonlinear Duffing system
โ Scribed by Bi Qinsheng; Chen Yushu; Wu Zhiqiang
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 400 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0253-4827
No coin nor oath required. For personal study only.
โฆ Synopsis
By using coordinate and nearly identical transformations, the strongly nonlinear
Duffing system is reduced to normal form in this paper, and then the btfurcation equations with different resonant conditions and their sotuuons are obtamed. The local bifurcation diagrams and the transition sets on utfolding parameter and physwal parameter plane are analysized by singularity theoo'.
๐ SIMILAR VOLUMES
The dynamic behavior of a nonlinear viscoelastic panel subjected to a simple harmonic excitation is studied. Using the Galerkin principle, the double mode model is presented in this paper. The bifurcation behavior of the panel is examined in detail in the case of internal response. The method of ave