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Bifurcation Analysis of Parametrically Excited Moving String With Aerodynamic Forces

[+] Author Affiliations
Changzhao Qian, Changping Chen

Xiamen University of Technology, Xiamen, Fujian, China

Liming Dai

University of Regina, Regina, SK, Canada

Paper No. IMECE2012-87202, pp. 1035-1039; 5 pages
doi:10.1115/IMECE2012-87202
From:
  • 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

abstract

Considering the large deformation of the string, A prototypical model of a elastic moving string with aerodynamic forces is studied. The equation of motion is obtained by Newton’s second law. Then the Perturbation method is used to obtain the average equation and bifurcation equation. Based on the average equation, the stable region of this system is discussed. Based on the bifurcation equation, the multivalued property of response amplitude is studied. At last, the flutter effects of aerodynamic force are discussed by the parametric analysis.

Copyright © 2012 by ASME

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