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Construction of approximate analytical solutions to a new class of non-linear oscillator equationThe principle of harmonic balance is invoked in the development of an approximate analytic model for a class of nonlinear oscillators typified by a mass attached to a stretched wire. By assuming that harmonic balance will hold, solutions are devised for a steady state limit cycle and/or limit point motion. A method of slowly varying amplitudes then allows derivation of approximate solutions by determining the form of the exact solutions and substituting into them the lowest order terms of their respective Fourier expansions. The latter technique is actually a generalization of the method proposed by Kryloff and Bogoliuboff (1943).
Document ID
19860032951
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Mickens, R. E.
(Atlanta University GA, United States)
Oyedeji, K.
(Howard University Washington, DC, United States)
Date Acquired
August 12, 2013
Publication Date
October 22, 1985
Publication Information
Publication: Journal of Sound and Vibration
Volume: 102
ISSN: 0022-460X
Subject Category
Structural Mechanics
Accession Number
86A17689
Distribution Limits
Public
Copyright
Other

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