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

Abstract:

Article Preview

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.

Info:

Periodical:

Edited by:

Honghua Tan

Pages:

833-837

DOI:

10.4028/www.scientific.net/AMM.66-68.833

Citation:

G. Ge and Z. W. Zhu, "An Improved Way of Detecting the Threshold Value of Chaotic Motion on a Parametrical Excited Rectangular Thin Plate", Applied Mechanics and Materials, Vols. 66-68, pp. 833-837, 2011

Online since:

July 2011

Authors:

Export:

Price:

$35.00

In order to see related information, you need to Login.

In order to see related information, you need to Login.