• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus
  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
  • Chinese S&T Journal Citation Reports
  • Chinese Science Citation Database
Volume 20 Issue 1
Feb.  2007
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Article Contents
YANG Zhian, HAN Yanbin. Primary Resonance of Thin Rectangular Plate with Material Nonlinearity on Winkler Foundation[J]. Journal of Southwest Jiaotong University, 2007, 20(1): 61-65.
Citation: YANG Zhian, HAN Yanbin. Primary Resonance of Thin Rectangular Plate with Material Nonlinearity on Winkler Foundation[J]. Journal of Southwest Jiaotong University, 2007, 20(1): 61-65.

Primary Resonance of Thin Rectangular Plate with Material Nonlinearity on Winkler Foundation

  • Received Date: 09 Jan 2006
  • Publish Date: 25 Feb 2007
  • Based on the elastic theory,nonlinear dynamical equations for an externally excited thin rectangular plate on the Winkler foundation were established by considering meterial nonlinearity in order to investigate its nonlinear vibration,and the corresponding nonlinear vibration equation was obtained using the Galerkin’s method.By means of the method of multiple scales for nonlinear oscillations,the approximate solution of primary resonance of the system was acquired,and a numerical analysis was carried out.The research shows that jump and hysteresis phenomena exist in the amplitude-frequency response curves with the changing of damping factor,geometric parameters and excitation,the amplitude decreases with the increase of damping.In addition,the amplitude-frequency response equation was investigated,and the transition variety and bifurcation diagram of unfolding parameter plane were obtained based on the singularity theory.

     

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