Authors: Zorica, Dušan 
Atanacković, Teodor
Vrcelj, Zora
Novaković, Branislava
Title: Dynamic stability of axially loaded nonlocal rod on generalized pasternak foundation
Journal: Journal of Engineering Mechanics
Volume: 143
Issue: 5
Issue Date: 1-May-2017
Rank: M22
ISSN: 0733-9399
DOI: 10.1061/(ASCE)EM.1943-7889.0001090
Abstract: 
In this paper, the problem of determining the dynamic stability boundary (critical value of the axial force) of an axially loaded nonlocal rod of Eringen's type is considered. The rod is positioned on a viscoelastic foundation of the Pasternak type. Constitutive equations containing fractional derivatives of real and complex order are used to model the viscoelasticity of the foundation. The influence of various model parameters on the value of critical axial load is examined.
Keywords: Critical value of axial force | Dynamic stability | Fractional derivatives of real and complex order | Nonlocality of Eringen's type | Viscoelastic and Pasternak foundation
Publisher: American Society of Civil Engineers

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