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Analytical Periodic Motions of a Parametric Oscillator With Quadratic Nonlinearity

[+] Author Affiliations
Albert C. J. Luo, Bo Yu

Southern Illinois University Edwardsville, Edwardsville, IL

Paper No. DETC2014-35467, pp. V008T11A057; 6 pages
doi:10.1115/DETC2014-35467
From:
  • ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 8: 26th Conference on Mechanical Vibration and Noise
  • Buffalo, New York, USA, August 17–20, 2014
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4641-4
  • Copyright © 2014 by ASME

abstract

In this paper, the analytical solutions of periodic motions in a parametric oscillator are presented by the finite Fourier series expansion, and the stability and bifurcation analysis of periodic motions are performed. Numerical illustrations of periodic motions are presented through phase trajectories and analytical spectrum.

Copyright © 2014 by ASME

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