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Nonlinear Analysis of a 2-DOF Piecewise Linear Aeroelastic System

[+] Author Affiliations
Tarek A. Elgohary

Texas A&M University, College Station, TX

Tamás Kalmár-Nagy

University of Illinois at Urbana-Champaign, Urbana, IL

Paper No. DETC2012-70038, pp. 911-922; 12 pages
doi:10.1115/DETC2012-70038
From:
  • ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 24th Conference on Mechanical Vibration and Noise, Parts A and B
  • Chicago, Illinois, USA, August 12–15, 2012
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4500-4
  • Copyright © 2012 by ASME

abstract

Aerodynamic forces for a 2-DOF aeroelastic system oscillating in pitch and plunge are modeled as a piecewise linear function. Equilibria of the piecewise linear model are obtained and their stability/bifurcations analyzed. Two of the main bifurcations are border collision and rapid/Hopf bifurcations. Continuation is used to generate the bifurcation diagrams of the system. Chaotic behavior following the intermittent route is also observed. To better understand the grazing phenomenon sets of initial conditions associated with the system behavior are defined and analyzed.

Copyright © 2012 by ASME

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