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Dynamic analysis of a soft-contact problem using viscoelastic and fractional-elastic rheological models
The paper presents mathematical formulationofadynamic soft-contact problem consisting of a material point impacting rheological structures. Two different models were analyzed. The first model concerns a viscoelastic structure while the second one applies to the so-called fractional-elastic scheme. In both cases the formulation of the problem needs the notion of variational inequalities describing unilateral constraints. Moreover, the fractional-elastic model contains an element defined via fractional derivatives (spring-pot) that complicates the numerical solution. Thanks to the methods used in this paper, both problems were described mathematically applying appropriate systems of algebraic-differential equations. The solution of the fractional-elastic problem involving a fractional-differential equation (FDE) was obtained with the use of time-discretization schemes proposed in the literature. Selected numerical results of the initial-value problem solution, modelling a material point falling freely and impacting the rheological structures were presented.
Dynamic analysis of a soft-contact problem using viscoelastic and fractional-elastic rheological models
The paper presents mathematical formulationofadynamic soft-contact problem consisting of a material point impacting rheological structures. Two different models were analyzed. The first model concerns a viscoelastic structure while the second one applies to the so-called fractional-elastic scheme. In both cases the formulation of the problem needs the notion of variational inequalities describing unilateral constraints. Moreover, the fractional-elastic model contains an element defined via fractional derivatives (spring-pot) that complicates the numerical solution. Thanks to the methods used in this paper, both problems were described mathematically applying appropriate systems of algebraic-differential equations. The solution of the fractional-elastic problem involving a fractional-differential equation (FDE) was obtained with the use of time-discretization schemes proposed in the literature. Selected numerical results of the initial-value problem solution, modelling a material point falling freely and impacting the rheological structures were presented.
Dynamic analysis of a soft-contact problem using viscoelastic and fractional-elastic rheological models
Archiv.Civ.Mech.Eng
Zbiciak, A. (Autor:in) / Kozyra, Z. (Autor:in)
Archives of Civil and Mechanical Engineering ; 15 ; 286-291
01.03.2015
6 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
A Nonlinear Viscoelastic Rheological Model of Soft Soil Based on Fractional Order Derivative
| British Library Conference Proceedings | 2013
| British Library Online Contents | 2003
| British Library Online Contents | 2013
| Taylor & Francis Verlag | 2015