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The Analysis of the Dynamic Behavior of the Nonlinear Oscillations of a Fluttering Plate Based on the Periodicity Ratio Method

[+] Author Affiliations
Liming Dai, Xiaojie Wang

University of Regina, Regina, SK, Canada

Paper No. IMECE2012-86888, pp. 1029-1033; 5 pages
  • ASME 2012 International Mechanical Engineering Congress and Exposition
  • Volume 4: Dynamics, Control and Uncertainty, Parts A and B
  • Houston, Texas, USA, November 9–15, 2012
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4520-2
  • Copyright © 2012 by ASME


In this paper, an investigation of the dynamic behavior of a fluttering plate is performed. The governing equations of the nonlinear oscillation derived using Galerkin’s method are presented and solved numerically by the Runge-Kutta method. Four modes are used for accurate results. The periodicity ratio method is briefly introduced and applied to generate the region diagram for the motion of the plate. The corresponding motions under different parameters following the region diagram are illustrated. The results demonstrate the efficiency and accuracy of periodicity ratio method.

Copyright © 2012 by ASME
Topics: Oscillations



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