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Period Motions and Limit Cycle in a Periodically Forced, Plunged Galloping Oscillator

[+] Author Affiliations
Bo Yu

University of Wisconsin-Platteville, Platteville, WI

Albert C. J. Luo

Southern Illinois University Edwardsville, Edwardsville, IL

Paper No. DETC2017-67323, pp. V006T10A063; 6 pages
doi:10.1115/DETC2017-67323
From:
  • ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Cleveland, Ohio, USA, August 6–9, 2017
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5820-2
  • Copyright © 2017 by ASME

abstract

In this paper, periodic motions of a periodically forced, plunged galloping oscillator are investigated. The analytical solutions of stable and unstable periodic motions are obtained by the generalized harmonic balance method. Stability and bifurcations of the periodic motions are discussed through the eigenvalue analysis. The saddle-node and Hopf bifurcations of periodic motions are presented through frequency-amplitude curves. The Hopf bifurcation generates the quasiperiodic motions. Numerical simulations of stable and unstable periodic motions are illustrated.

Copyright © 2017 by ASME

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