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Analytical Periodic Motions in a Periodically Forced, Damped Duffing Oscillator

[+] Author Affiliations
Albert C. J. Luo, Jianzhe Huang

Southern Illinois University Edwardsville, Edwardsville, IL

Paper No. IMECE2012-86077, pp. 75-81; 7 pages
doi:10.1115/IMECE2012-86077
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

The analytical solutions of the period-1 motions for a hardening Duffing oscillator are presented through the generalized harmonic balance method. The conditions of stability and bifurcation of the approximate solutions in the oscillator are discussed. Numerical simulations for period-1 motions for the damped Duffing oscillator are carried out.

Copyright © 2012 by ASME

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