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Periodic Motions in a 2-DOF Self-Excited Duffing Oscillator

[+] Author Affiliations
Yeyin Xu, Albert C. J. Luo

Southern Illinois University Edwardsville, Edwardsville, IL

Paper No. IMECE2017-70783, pp. V04BT05A021; 8 pages
doi:10.1115/IMECE2017-70783
From:
  • ASME 2017 International Mechanical Engineering Congress and Exposition
  • Volume 4B: Dynamics, Vibration, and Control
  • Tampa, Florida, USA, November 3–9, 2017
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5838-7
  • Copyright © 2017 by ASME

abstract

In this paper, analytical solutions of periodic motions in a 2-DOF self-excited Duffing oscillator are investigated through a semi-analytical method. The semi-analytical method discretizes the self-excited Duffing oscillator for the discrete implicit mappings. Through the implicit mapping, period-1 motion varying with excitation frequency are presented, and the corresponding stability and bifurcation are discussed via the eigenvalues analysis. The Neimark and saddle-node bifurcations of the periodic motion are obtained. Initial conditions for numerical simulations are from analytical solutions. Numerical and analytical solutions of periodic motions are illustrated for comparison.

Copyright © 2017 by ASME

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