6533b837fe1ef96bd12a31d6

RESEARCH PRODUCT

A numerical assessment of the free energy function for fractional-order relaxation

Massimiliano ZingalesAndrea BurlonFrancesco Paolo Pinnola

subject

Stress (mechanics)Materials scienceClassical mechanicsDiscretizationElastic energyStress relaxationRelaxation (physics)Strain energy density functionFunction (mathematics)MechanicsSettore ICAR/08 - Scienza Delle CostruzioniEnergy (signal processing)Free Energy Fractional Hereditary Materials Power-Laws Rheological models

description

In this paper a novel method based on complex eigenanalysis in the state variables domain is proposed to uncouple the set of rational order fractional differential equations governing the dynamics of multi-degree-of-freedom system. The traditional complex eigenanalysis is appropriately modified to be applicable to the coupled fractional differential equations. This is done by expanding the dimension of the problem and solving the system in the state variable domain. Examples of applications are given pertaining to multi-degree-of-freedom systems under both deterministic and stochastic loads.

yearjournalcountryeditionlanguage
2014-06-01ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014
https://doi.org/10.1109/icfda.2014.6967374