Closed-Form Expression for the Exact Period of a Nonlinear Oscillator Typified by a Mass Attached to a Stretched Wire
Year: 2011
Author: Malik Mamode
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 6 : pp. 689–701
Abstract
The exact analytical expression of the period of a conservative nonlinear oscillator with a non-polynomial potential, is obtained. Such an oscillatory system corresponds to the transverse vibration of a particle attached to the center of a stretched elastic wire. The result is given in terms of elliptic functions and validates the approximate formulae derived from various approximation procedures as the harmonic balance method and the rational harmonic balance method usually implemented for solving such a nonlinear problem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.11-m1141
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 6 : pp. 689–701
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Nonlinear oscillator exact period elliptic integral.