Fractional visco-elastic Timoshenko beam deflection via single equation

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12 Citazioni (Scopus)

Abstract

This paper deals with the response determination of a visco-elastic Timoshenko beam under static loading condition and taking into account fractional calculus. In particular, the fractional derivative terms arise from representing constitutive behavior of the visco-elastic material. Further, taking advantages of the Mellin transform method recently developed for the solution of fractional differential equation, the problem of fractional Timoshenko beam model is assessed in time domain without invoking the Laplace-transforms as usual. Further, solution provided by the Mellin transform procedure will be compared with classical Central Difference scheme one, based on the Grunwald-Letnikov approximation of the fractional derivative. Moreover, Timoshenko beam response is generally evaluated by solving a couple of differential equations. In this paper, expressing the equation of the elastic curve just through a single relation, a more general procedure, which allows the determination of the beam response for any load condition and type of constraints, is developed. © 2015 John Wiley
Lingua originaleEnglish
pagine (da-a)869-886
Numero di pagine18
RivistaInternational Journal for Numerical Methods in Engineering
Volume104
Stato di pubblicazionePublished - 2015

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
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  • Applied Mathematics

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