Authors: Karličić, Danilo 
Cajić, Milan 
Murmu, Tony
Adhikari, Sondipon
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Nonlocal longitudinal vibration of viscoelastic coupled double-nanorod systems
Journal: European Journal of Mechanics, A/Solids
Volume: 49
First page: 183
Last page: 196
Issue Date: 1-Jan-2015
Rank: M21
ISSN: 0997-7538
DOI: 10.1016/j.euromechsol.2014.07.005
Abstract: 
A theoretical study of the free longitudinal vibration of a nonlocal viscoelastic double-nanorod system (VDNRS) is presented in this paper. It is assumed that a light viscoelastic layer continuously couples two parallel nonlocal viscoelastic nanorods. The model is aimed at representing dynamic interactions in nanocomposite materials. The exact solution for the longitudinal vibration of a double-nanorod system is determined for two types of boundary conditions, Clamped-Clamped (C-C) and Clamped-Free (C-F). D'Alembert's principle is applied to derive the governing equations of motion in terms of the generalized displacements for a nonlocal viscoelastic constitutive equation. The solutions of a set of two homogeneous partial differential equations are obtained by using the classical Bernoulli-Fourier method. Numerical results are presented to show the effect of material length scale parameter, damping from viscoelastic constitutive equations, damping of light viscoelastic layer and boundary conditions for the free longitudinal vibration of a viscoelastic double-nanorod system.
Keywords: Complex eigenvalue | Double-nanorod system | Nonlocal viscoelasticity
Publisher: Elsevier

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