Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472484 | Computers & Mathematics with Applications | 2013 | 13 Pages |
Abstract
The aim of the paper is the description of fractional-order differential equations in terms of exact mechanical models. This result will be archived, in the paper, for the case of linear multiphase fractional hereditariness involving linear combinations of power-laws in relaxation/creep functions. The mechanical model corresponding to fractional-order differential equations is the extension of a recently introduced exact mechanical representation (Di Paola and Zingales (2012) [33] and Di Paola et al. (2012) [34]) of fractional-order integrals and derivatives. Some numerical applications have been reported in the paper to assess the capabilities of the model in terms of a peculiar arrangement of linear springs and dashpots.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Mario Di Paola, Francesco Paolo Pinnola, Massimiliano Zingales,