Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-26T06:15:46.015Z Has data issue: false hasContentIssue false
  • English
  • Français

The response of a damped pendulum to a large driving force

Published online by Cambridge University Press:  01 April 1998

Michael Hinczewski  and
Joel C. W. Rogers
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
Get access Rights & Permissions [Opens in a new window]

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
Information
European Journal of Applied Mathematics , Volume 9 , Issue 2 , April 1998 , pp. 105 - 127
Copyright
Copyright © Cambridge University Press 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)