Parametric bifurcation of a viscoelastic column subject to axial harmonic force and time-delayed control

A. Y T Leung; H. X. Yang; J. Y. Chen

doi:10.1016/j.compstruc.2014.01.015

Author(s)

A. Y T Leung
H. X. Yang
J. Y. Chen

Detail(s)

Original language	English
Pages (from-to)	47-55
Journal / Publication	Computers and Structures
Volume	136
Online published	18 Feb 2014
Publication status	Published - May 2014

Link(s)

DOI	DOI https://doi.org/10.1016/j.compstruc.2014.01.015 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84894384935&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(3ef39761-ea88-4b6f-ad74-fbe3902ffbcd).html

Abstract

We investigate the steady state response of a simply supported viscoelastic column subject to axial harmonic excitation. The viscoelastic material is modeled in fractional derivative Kelvin sense. The equation of motion is derived and discretized by the Galerkin approximation resulting in a generalized Mathieu-Duffing equation with time delay. Bifurcations in parametric excitation can be eliminated by appropriate feedback gain and time delay. The bifurcating behavior for various fractional orders and material ratios are also investigated. New criteria of stability determination are established. Based on the Runge-Kutta method, numerical results are obtained and compared with analytical solutions for verification. © 2014 Elsevier Ltd. All rights reserved.

Research Area(s)

Fractional Mathieu-Duffing oscillator, Parametric bifurcation, Time delay, Viscoelastic column

Citation Format(s)

[ RIS ] [ BibTeX ]

Parametric bifurcation of a viscoelastic column subject to axial harmonic force and time-delayed control. / Leung, A. Y T; Yang, H. X.; Chen, J. Y.
In: Computers and Structures, Vol. 136, 05.2014, p. 47-55.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Leung, AYT, Yang, HX & Chen, JY 2014, 'Parametric bifurcation of a viscoelastic column subject to axial harmonic force and time-delayed control', Computers and Structures, vol. 136, pp. 47-55. https://doi.org/10.1016/j.compstruc.2014.01.015

Leung, A. Y. T., Yang, H. X., & Chen, J. Y. (2014). Parametric bifurcation of a viscoelastic column subject to axial harmonic force and time-delayed control. Computers and Structures, 136, 47-55. https://doi.org/10.1016/j.compstruc.2014.01.015

Leung AYT, Yang HX, Chen JY. Parametric bifurcation of a viscoelastic column subject to axial harmonic force and time-delayed control. Computers and Structures. 2014 May;136:47-55. Epub 2014 Feb 18. doi: 10.1016/j.compstruc.2014.01.015

Leung, A. Y T ; Yang, H. X. ; Chen, J. Y. / Parametric bifurcation of a viscoelastic column subject to axial harmonic force and time-delayed control. In: Computers and Structures. 2014 ; Vol. 136. pp. 47-55.