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Amplitudes Decay in the Nonlinear Oscillators of Mixed Linear and Cubic Stiffness Components

[+] Author Affiliations
Mohammad A. Al-Shudeifat, Thomas D. Burton

Khalifa University of Science, Technology & Research (KUSTAR), Abu Dhabi, UAE

Paper No. IMECE2014-39950, pp. V04BT04A034; 5 pages
doi:10.1115/IMECE2014-39950
From:
  • ASME 2014 International Mechanical Engineering Congress and Exposition
  • Volume 4B: Dynamics, Vibration, and Control
  • Montreal, Quebec, Canada, November 14–20, 2014
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4648-3
  • Copyright © 2014 by ASME

abstract

New formulas for obtaining the accurate amplitudes decay of the energy, velocity and displacement in the Duffing oscillator of odd-power stiffness components are derived here. The derivation is based on the new transformation proposed recently in the literature. These new formulas are found to be highly accurate in locating the decay envelopes of the energy, velocity and displacement regardless of the system physical parameters and the initial condition. In addition, the formulas are also found to be applicable to the damped double-well Duffing oscillator as long as the oscillation simultaneously occurs between the two stable equilibrium positions.

Copyright © 2014 by ASME
Topics: Stiffness

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