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The response of a damped pendulum to a large driving force

Published online by Cambridge University Press:  01 April 1998

Michael Hinczewski
Affiliation:
Simon's Rock College of Bard, Great Barrington MA 01230, USA
Joel C. W. Rogers
Affiliation:
Simon's Rock College of Bard, Great Barrington MA 01230, USA

Abstract

Analysing the motion of a driven, damped pendulum as a function of the amplitude of the driving force, we show, first, that for moderate values and larger of the amplitude, deviations from a simple motion with the period of the driving force are bounded by a constant times the inverse square root of the amplitude, for late times. For amplitudes above a larger threshold we are able to show that, for late times, the motion becomes a periodic motion with the period of the driving force. The manner in which this periodic motion is achieved with the passage of time is analysed.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1998

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