Dynamic analysis of a soft-contact problem using viscoelastic and fractional-elastic rheological models

• Autorzy: Zbiciak A. , Kozyra Z.

Identyfikatory

DOI

10.1016/j.acme.2014.03.002

• Języki publikacji: EN

Abstrakty

EN

The paper presents mathematical formulation of a dynamic 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.

Słowa kluczowe

EN

fractional-order differential equations; contact mechanics; viscoelasticity; rheological models

PL

równania różniczkowe; mechanika kontaktu; lepkosprężystość; modele reologiczne

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2015
• Tom: Vol. 15, no. 1
• Strony: 286--291
• Opis fizyczny: Bibliogr. 21 poz., wykr.

Twórcy

autor

Zbiciak A.

• Warsaw University of Technology, Faculty of Civil Engineering, Institute of Roads and Bridges, 16 Armii Ludowej Ave., 00-637 Warsaw, Poland

autor

Kozyra Z.

• Warsaw University of Technology, Faculty of Civil Engineering, Institute of Building Engineering, 16 Armii Ludowej Ave., 00-637 Warsaw, Poland

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