On generalized fractional vibration equation

Hongzhe Dai, Zhibao Zheng and Wei Wang

Chaos, Solitons & Fractals, 2017, vol. 95, issue C, 48-51

Abstract: In this paper, a generalized fractional vibration equation with multi-terms of fractional dissipation is developed to describe the dynamical response of an arbitrary viscoelastically damped system. It is shown that many classical equations of motion, e.g., the Bagley–Torvik equation, can be derived from the developed equation. The Laplace transform is utilized to solve the generalized equation and the analytic solution under some special cases is derived. Example demonstrates the generalized transfer function of an arbitrary viscoelastic system.

Keywords: Vibration; Fractional dynamics; Fractional viscoelastic systems; Fractional differential equation (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:95:y:2017:i:c:p:48-51

DOI: 10.1016/j.chaos.2016.12.006

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