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[期刊论文]

Bifurcation and chaos of an axially accelerating visoelastic belt

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作者:

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

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EI Scopus PKU CSCD

摘要:

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.

关键词:

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

作者机构:

  • [ 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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来源 :

Journal of Beijing University of Technology

ISSN: 0254-0037

年份: 2009

期: 3

卷: 35

页码: 293-296,315

被引次数:

WoS核心集被引频次: 0

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