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Author:

Liu, Yan-Qi (Liu, Yan-Qi.) | Zhang, Wei (Zhang, Wei.)

Indexed by:

EI Scopus PKU CSCD

Abstract:

Bifurcation and chaos of an axially accelerating viscoelastic belt are investigated. Based on geometry nonlinearity, nonlinear governing equations of motion for the axially acelerating viscoelastic belt are derived by using Hamilton's principle. The partial differential governing equations are truncated to a set of four-dimensional ordinary differential equations based on the first term Galerkin method. The nonlinear dynamical behaviors of the system are numerically identified by using the bifurcation diagrams. The results of numerical simulations indicate that bifurcation and chaos occur in the transverse nonlinear oscillations of the axially acelerating viscoelastic belt.

Keyword:

Chaos theory Control nonlinearities Nonlinear equations Bifurcation (mathematics) Viscoelasticity Ordinary differential equations Equations of motion Belts Galerkin methods

Author Community:

  • [ 1 ] [Liu, Yan-Qi]College of Mechanical Engineering and Applied Electronics, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Zhang, Wei]College of Mechanical Engineering and Applied Electronics, Beijing University of Technology, Beijing 100124, China

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Source :

Journal of Beijing University of Technology

ISSN: 0254-0037

Year: 2009

Issue: 3

Volume: 35

Page: 293-296,315

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: 8

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