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Complex bifurcations in a nonlinear system of moving belt

Li Qun-Hong Yan Yu-Long Wei Li-Mei Qin Zhi-Ying

Complex bifurcations in a nonlinear system of moving belt

Li Qun-Hong, Yan Yu-Long, Wei Li-Mei, Qin Zhi-Ying
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  • Abstract views:  810
  • PDF Downloads:  584
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Publishing process
  • Received Date:  01 February 2013
  • Accepted Date:  05 March 2013
  • Published Online:  05 June 2013

Complex bifurcations in a nonlinear system of moving belt

  • 1. College of Mathematics and Information Science, Guangxi University, Nanning 530004, China;
  • 2. School of Mechanical Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 10972059, 11002046), the Guangxi Natural Science Foundation, China (Grant Nos. 2010GXNSFA013110, 2013GXNSFAA019017), and the Guangxi Youth Science Foundation, China (Grant No. 2011GXNSFB018060).

Abstract: A kind of one-degree-of-freedom nonlinear moving belt system is considered. The analytical research of sliding region and existence conditions of equilibrium are first derived by the theory of piecewise-smooth dynamical system. Then, using numerical method, one- or two-parameter continuation of several types of periodic orbits of the system is calculated. We obtain codimension-1 sliding bifurcation curves, codimension-2 sliding bifurcation points, and global bifurcation diagram in parameter space for the system. The investigation of bifurcation behavior shows that the speed of moving belt and amplitude of friction have a great influence on dynamic behavior, and reveals the complex nonlinear dynamic phenomenon of the moving belt system.

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