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Lagging Motion of Forced Nonlinear Oscillators

[+] Author Affiliations
Sand Woo Karng

Korea Institute of Science and Technology, Seoul, Korea

Ki Young Kim, Ho-Young Kwak

Chung-Ang University, Seoul, Korea

Paper No. IMECE2003-43176, pp. 659-666; 8 pages
doi:10.1115/IMECE2003-43176
From:
  • ASME 2003 International Mechanical Engineering Congress and Exposition
  • Design Engineering, Volumes 1 and 2
  • Washington, DC, USA, November 15–21, 2003
  • Conference Sponsors: Design Engineering Division
  • ISBN: 0-7918-3712-2 | eISBN: 0-7918-4663-6, 0-7918-4664-4, 0-7918-4665-2
  • Copyright © 2003 by ASME

abstract

The lagging motion of nonlinear oscillators with respect to the externally driven field was treated analytically and the calculation results were compared with observed results. Such lagging problem may occur in nonlinear systems whose behavior crucially depends on the frequency of the applied force. The lagging motion of the nonlinear oscillator with respect to the harmonically driven field made the oscillator respond in a way that reduced the effect of the applied field. The calculation considering the lagging motion yielded proper results in the expansion ratio of the bubble under ultrasound and trajectories in phase plane, the frequency spectrum for a forced inverted pendulum, and the amplitude response of the Duffing oscillator.

Copyright © 2003 by ASME
Topics: Motion

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