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Analytical Prediction of Period-1 Motions in a Time-Delayed, Softening Duffing Oscillator

[+] Author Affiliations
Albert C. J. Luo, Siyuan Xing

Southern Illinois University Edwardsville, Edwardsville, IL

Paper No. IMECE2017-70824, pp. V04BT05A029; 7 pages
doi:10.1115/IMECE2017-70824
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, symmetric and asymmetric period-1 motions in a periodically forced, time-delayed, softening Duffing oscillator is analytically predicted through a discrete implicit mapping method. Such a method is based on the discretization of the corresponding differential equation. The stability and bifurcations of the symmetric and asymmetric period-1 motions are determined through eigenvalue analysis. Numerical simulation of the period-1 motions in the time-delayed softening Duffing oscillator is presented for verification of the analytical prediction.

Copyright © 2017 by ASME

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