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Approximate potentials with applications to strongly nonlinear oscillators with slowly varying parameters

Approximate potentials with applications to strongly nonlinear oscillators with slowly varying... A method of approximate potential is presented for the study of certain kinds of strongly nonlinear oscillators. This method is to express the potential for an oscillatory system by a polynomial of degree four such that the leading approximation may be derived in terms of elliptic functions. The advantage of present method is that it is valid for relatively large oscillations. As an application, the elapsed time of periodic motion of a strongly nonlinear oscillator with slowly varying parameters is studied in detail. Comparisons are made with other methods to assess the accuracy of the present method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Shock and Vibration IOS Press

Approximate potentials with applications to strongly nonlinear oscillators with slowly varying parameters

Shock and Vibration , Volume 10 (5) – Jan 1, 2003

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Publisher
IOS Press
Copyright
Copyright © 2003 by IOS Press, Inc
ISSN
1070-9622
eISSN
1875-9203
Publisher site
See Article on Publisher Site

Abstract

A method of approximate potential is presented for the study of certain kinds of strongly nonlinear oscillators. This method is to express the potential for an oscillatory system by a polynomial of degree four such that the leading approximation may be derived in terms of elliptic functions. The advantage of present method is that it is valid for relatively large oscillations. As an application, the elapsed time of periodic motion of a strongly nonlinear oscillator with slowly varying parameters is studied in detail. Comparisons are made with other methods to assess the accuracy of the present method.

Journal

Shock and VibrationIOS Press

Published: Jan 1, 2003

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