An Improved Way of Detecting the Threshold Value of Chaotic Motion on a Parametrical Excited Rectangular Thin Plate

Abstract:

One dynamical model of a thin rectangular plate subject to in-plate parametrical excitation is proposed based on elastic theory and Galerkin’s approach. At first, the undermined fundamental frequency and normal form method was utilized to study the influence of the disturbing parameters to the fundamental frequency. Secondly, the improved Melnikov expression for the oscillator was built based on the results of the undermined fundamental frequency method and time scale transformation to improve the approximate threshold value of chaotic motion in the Homoclinicity. Finally, the numerical results show the efficiency of the theoretical analysis.

• Periodical: Applied Mechanics and Materials (Volumes 66-68)
• Pages: 833-837
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.66-68.833
• Online since: July 2011
• Authors: Gen Ge, Zhi Wen Zhu
• Keywords: Chaos, Rectangular Thin Plate, Undermined Fundamental Frequency Method

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