| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 288899 | Journal of Sound and Vibration | 2011 | 5 Pages |
Abstract
Velocity-dependent-frequency (VDF) oscillators are represented (for one-degree-of-freedom systems) by the differential equation x¨+f(x˙)x=0, f(0)>0f(0)>0. However, the standard methods for determining approximations to the periodic solutions may breakdown in their corresponding first-order calculations. In particular, the frequencies may become singular for finite values of the amplitude. A technique combining averaging and first-order iteration is shown to resolve this difficulty.
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Authors
Ronald E. Mickens, Kale Oyedeji,