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https://open.uns.ac.rs/handle/123456789/12770
Title: | Dynamics of a rod made of generalized Kelvin-Voigt visco-elastic material | Authors: | Stankovic B. Atanackovic T. |
Issue Date: | 15-Apr-2002 | Journal: | Journal of Mathematical Analysis and Applications | Abstract: | In this paper we develop a new mathematical model for the lateral vibration of an axially compressed visco-elastic rod. As the basis for this model we use a fractional derivative type of stress-strain relation. We show that the dynamics of the lateral vibration is governed by two coupled linear differential equations with fractional derivatives. For a special case of the generalized Kelvin-Voigt body, this system is reduced to a single fractional derivative differential equation (Eq. (19)). For a class of problems to which (19) belongs the questions of the existence of a solution and its regularity are analyzed. Both continuous and impulsive loading are treated. © 2002 Elsevier Science (USA). | URI: | https://open.uns.ac.rs/handle/123456789/12770 | ISSN: | 0022247X | DOI: | 10.1006/jmaa.2001.7816 |
Appears in Collections: | FTN Publikacije/Publications |
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