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Higher accuracy analytical approximations to the Duffing-harmonic oscillator

✍ Scribed by C.W. Lim; B.S. Wu; W.P. Sun

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
165 KB
Volume
296
Category
Article
ISSN
0022-460X

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Following previous work on computing approximate frequency response functions for the Duffing oscillator under white Gaussian excitation, an approximation is obtained here for the coherence function. A PadeΒ΄approximation of order (1,1) is made for the asymmetric Duffing oscillator (i.e. with non-zer

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Analytic solutions are presented for the time dependent harmonic oscillator equation as well as for the corresponding amplitude (Ermakov) and phase equations. The solutions are adequate approximations for an initially constant amplitude and a time dependent parameter that varies continuously in a ti