Abstract
Nonlinear parametric vibration of an axially accelerating viscoelastic string is investigated. The string is constituted by the fractional Kelvin model. The principal parametric resonance is analyzed by using an asymptotic approach. The modulation equation is derived from the solvability condition. Closed-form expressions of the amplitudes and the existence conditions of steady-state responses are obtained from the modulation equation. Numerical examples are presented to highlight the effects of fractional order and other system parameters on the responses. Copyright © 2013 by ASME.
| Original language | American English |
|---|---|
| Journal | Journal of Vibration and Acoustics, Transactions of the ASME |
| DOIs | |
| State | Published - Jan 1 2013 |
Keywords
- Axially Moving String
- Fractional Derivative Kelvin Constitutive Relation
- Nonlinear Parametric Resonance
- Steadystate Response
Disciplines
- Aerospace Engineering
- Mechanical Engineering
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