Dynamics of a viscoelastic rod of fractional derivative type

Молимо вас користите овај идентификатор за цитирање или овај линк до ове ставке: https://open.uns.ac.rs/handle/123456789/13870

Назив:	Dynamics of a viscoelastic rod of fractional derivative type
Аутори:	Atanackovic T. Stankovic B.
Датум издавања:	1-јан-2002
Часопис:	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Сажетак:	We study dynamics of a viscoelastic rod with fractional derivative type of dissipation under time dependent loading. First the moment curvature relation for the rod from the generalized Zener model of a standard linear solid is derived. Then, we show that the dynamics of the problem is governed by a single linear differential equation with fractional derivative. The existence and uniqueness of solutions for this equation is studied in detail. The form of the solution for the case of periodic compressive force is also obtained. © WILEY-VCH Verlag Berlin GmbH.
URI:	https://open.uns.ac.rs/handle/123456789/13870
ISSN:	00442267
DOI:	10.1002/1521-4001(200206)82:6<377::AID-ZAMM377>3.0.CO;2-M
Налази се у колекцијама:	FTN Publikacije/Publications