Nonlinear dynamic behavior of a moving viscoelastic string undergoing three-dimensional vibration

Jih-Lian Ha, Jer-Rong Chang and Rong-Fong Fung

Chaos, Solitons & Fractals, 2007, vol. 33, issue 4, 1117-1134

Abstract: This paper is devoted to the investigation of bifurcation and chaos of a moving viscoelastic string undergoing three-dimensional vibration. An initially stressed viscoelastic string subjected to constant axial motion and harmonical tension is considered. The string material is assumed to be constituted by spring-dashpot model which is considered as the Voigt element in series with a spring (three-parameter model). Using constitutive law of differential type method we can obtain the partial differential equations of motion. Then the partial differential equations can be approximated by means of Galerkin’s method. The axial–lateral coupled effect of the viscoelastic string is digged out by comparing the numerical results of the three-dimensional vibration analysis and the only transverse vibration analysis. The responses of the viscoelastic string and the elastic string are compared. Using the FFT spectra, Poincare maps, and the bifurcation diagrams, the responses of the viscoelastic string are classified. The effects of the material parameters, the wave propagation speed ratio, the transport speed and the frequency of axially tension on the response amplitudes are investigated.

Date: 2007
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077906000981
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:4:p:1117-1134

DOI: 10.1016/j.chaos.2006.01.069

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().