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Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme

Deü, Jean-Francois and Matignon, Denis Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme. (2010) Computers and Mathematics with Applications, vol. 5 (n° 5). pp. 1745-1753 . ISSN 0898-1221

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Official URL: http://dx.doi.org/10.1016/j.camwa.2009.08.067

Abstract

A Newmark-diffusive scheme is presented for the time-domain solution of dynamic systems containing fractional derivatives. This scheme combines a classical Newmark time-integration method used to solve second-order mechanical systems (obtained for example after finite element discretization), with a diffusive representation based on the transformation of the fractional operator into a diagonal system of linear differential equations, which can be seen as internal memory variables. The focus is given on the algorithm implementation into a finite element framework, the strategies for choosing diffusive parameters, and applications to beam structures with a fractional Zener model.

Item Type:Article
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Conservatoire National des Arts et Métiers - CNAM (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
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Deposited By:Denis Matignon

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