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, 5 (5). 1745-1753 . ISSN 0898-1221
|
(Document in English)
PDF (Author's version ) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 574kB |
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-SUPAERO (FRANCE) |
Laboratory name: | Laboratoire de Mécanique des Structures et des Systèmes Couplés - LMSSC (Paris, France) Département de Mathématiques, Informatique, Automatique - DMIA (Toulouse, France) - Modelisation et Architecture des Systèmes - MARS |
Statistics: | download |
Deposited On: | 04 May 2010 08:33 |
Repository Staff Only: item control page