Nonlinear Parametric Resonance of a Fractional Damped Axially Moving String-Reference-Cited by-同舟云学术

Nonlinear Parametric Resonance of a Fractional Damped Axially Moving String

Published:2013-08-06 Issue:6 Volume:135 Page:
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Yang Tian-Zhi¹,Yang Xiaodong²,Chen Fei³,Fang Bo⁴

Affiliation:

1. Department of Astronautics, Shenyang Aerospace University, Shenyang 110136, China e-mail:

2. School of Mechanical Engineering, Beijing University of Technology, Shenyang 100022, China

3. Department of Engineering Mechanics, Shenyang Aerospace University, Shenyang 110136, China

4. Department of Astronautics, Shenyang Aerospace University, Shenyang 110136, China

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.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/doi/10.1115/1.4024779/6341096/vib_135_06_064507.pdf

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