Nonlinear Parametric Resonance of a Fractional Damped Axially Moving String

Author

T.-Z. Yang
Xiaodong Yang, Missouri University of Science and TechnologyFollow
F. Chen
B. Fang

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.

Recommended Citation

T. Yang et al., "Nonlinear Parametric Resonance of a Fractional Damped Axially Moving String," Journal of Vibration and Acoustics, Transactions of the ASME, American Society of Mechanical Engineers (ASME), Jan 2013.

The definitive version is available at https://doi.org/10.1115/1.4024779

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Axially Moving String; Fractional Derivative Kelvin Constitutive Relation; Nonlinear Parametric Resonance; Steadystate Response

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 American Society of Mechanical Engineers (ASME), All rights reserved.

Publication Date

01 Jan 2013