Wave propagation dynamics in a fractional Zener model with stochastic excitation-Reference-Cited by-同舟云学术

Wave propagation dynamics in a fractional Zener model with stochastic excitation

Published:2020-12-01 Issue:6 Volume:23 Page:1570-1604
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Atanacković Teodor¹,Pilipović Stevan²,Seleši Dora²

Affiliation:

1. Faculty of Technical Sciences, University of Novi Sad Trg D. Obradovića 6 , Novi Sad , Serbia

2. Department of Mathematics and Informatics, Faculty of Sciences University of Novi Sad , Novi Sad Serbia

Abstract

Abstract Equations of motion for a Zener model describing a viscoelastic rod are investigated and conditions ensuring the existence, uniqueness and regularity properties of solutions are obtained. Restrictions on the coefficients in the constitutive equation are determined by a weak form of the dissipation inequality. Various stochastic processes related to the Karhunen-Loéve expansion theorem are presented as a model for random perturbances. Results show that displacement disturbances propagate with an infinite speed. Some corrections of already published results for a non-stochastic model are also provided.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0079/pdf

Reference31 articles.

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