Bifurcation Analysis of a Four-Dimensional System of Two Symmetric Coupled Nonlinear Oscillators with Clearance - Details

Author：

Guo, Ziyu (Guo, Ziyu.) | Li, Jing (Li, Jing.) | Zhu, Shaotao (Zhu, Shaotao.) | Geng, Hui (Geng, Hui.)

Indexed by：

EI Scopus

Abstract：

The　research　gradually　highlights　vibration　and　dynamical　analysis　of　symmetric　coupled　nonlinear　oscillators　model　with　clearance.　The　aim　of　this　paper　is　the　bifurcation　analysis　of　the　symmetric　coupled　nonlinear　oscillators　modeled　by　a　four-dimensional　nonsmooth　system.　The　approximate　solution　of　this　system　is　obtained　with　aid　of　averaging　method　and　Krylov-Bogoliubov　(KB)　transformation　presented　by　new　notations　of　matrices.　The　bifurcation　function　is　derived　to　investigate　its　dynamic　behaviour　by　singularity　theory.　The　results　obtained　provide　guidance　for　the　nonlinear　vibration　of　symmetric　coupled　nonlinear　oscillators　model　with　clearance.　©　2022　Institute　of　Physics　Publishing.　All　rights　reserved.

Keyword：

Nonlinear analysis Bifurcation (mathematics) Oscillators (mechanical) Linear transformations Vibration analysis

Author Community：

[ 1 ] [Guo, Ziyu]Interdisciplinary Research Institute, Faculty of Science, Beijing University of Technology, Beijing; 100124, China
[ 2 ] [Li, Jing]Interdisciplinary Research Institute, Faculty of Science, Beijing University of Technology, Beijing; 100124, China
[ 3 ] [Zhu, Shaotao]Interdisciplinary Research Institute, Faculty of Science, Beijing University of Technology, Beijing; 100124, China
[ 4 ] [Zhu, Shaotao]Faculty of Information Technology, Beijing University of Technology, Beijing; 100124, China
[ 5 ] [Geng, Hui]Interdisciplinary Research Institute, Faculty of Science, Beijing University of Technology, Beijing; 100124, China

Reprint Author's Address：

Email：

Show more details

Related Keywords：

Normal-matrix-based nonlinear H∞ attitude tracking for spacecraft
2010，Aircraft Engineering and Aerospace Technology
Geometrically Nonlinear Random Responses of Stiffened Plates Under Acoustic Pressure
2020，Transactions of Nanjing University of Aeronautics and Astronautics
Nonlinear dynamics and control of large deployable space structures composed of trusses and meshes
2013，Advances in Mechanics
Dynamic simulation analysis of spur gear space driven system with large inertia load
2020，Journal of Vibroengineering

Source ：

ISSN： 1742-6588

Year： 2022

Issue： 1

Volume： 2160

Language： English

Cited Count：

WoS CC Cited Count： 0

SCOPUS Cited Count：

ESI Highly Cited Papers on the List： 0 Unfold All

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 3

Affiliated Colleges：

Get Fulltext

DOI Library Discovery Baidu Scholar Search Engineering Village

Type
Departments

All Years Choose Year From to