Non local longitudinal vibration of viscoelastic coupled double-nanorod systems

Karličić, D., Cajić, M., Murmu, T. and Adhikari, S. (2015) Non local longitudinal vibration of viscoelastic coupled double-nanorod systems. European Journal of Mechanics - A/Solids, 49, pp. 183-196. (doi: 10.1016/j.euromechsol.2014.07.005)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Adhikari, Professor Sondipon
Authors: Karličić, D., Cajić, M., Murmu, T., and Adhikari, S.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:European Journal of Mechanics - A/Solids
Publisher:Elsevier
ISSN:0997-7538
ISSN (Online):1873-7285
Published Online:24 July 2014

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