• ISSN 0258-2724
  • CN 51-1277/U
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Volume 20 Issue 6
Dec.  2007
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Article Contents
LI Yinghui, DU Changcheng, GAO Qing. Chaotic Motion of a Viscoelastic Beam in Time Dependent Temperature Field[J]. Journal of Southwest Jiaotong University, 2007, 20(6): 685-690.
Citation: LI Yinghui, DU Changcheng, GAO Qing. Chaotic Motion of a Viscoelastic Beam in Time Dependent Temperature Field[J]. Journal of Southwest Jiaotong University, 2007, 20(6): 685-690.

Chaotic Motion of a Viscoelastic Beam in Time Dependent Temperature Field

  • Received Date: 13 Oct 2006
  • Publish Date: 25 Dec 2007
  • A nonlinear dynamic model for a viscoelastic beam under a laterally distributed excitation in a time dependent temperature field was derived,which is based on the constitutive description of Kelvin viscoelastic materials,motion equations and strain-displacement relations of a beam with large deflections.One of multiple modes of the governing equation was obtained using Galerkin’s method to obtain a parametrically excited(caused by temperature) Duffing’s oscillator,and the fixed points and homoclinic orbits were obtained according to the Duffing’s oscillator.The critical conditions for chaos of the viscoelastic beam to occur were determined by the Melnikov function method to discuss the path to chaos.The results show that it is possible for the nonlinear viscoelastic beam under the laterally distributed excitation and temperature to enter a chaotic motion in the Smale’s horseshoe sense,and the system experiences many times of subharmonic bifurcations before the chaos happens.

     

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