@inproceedings{61693ecce2b342f4a8475b78105602c1,
title = "Torsional vibration of size-dependent viscoelastic rods using nonlocal strain and velocity gradient theory",
abstract = "In this paper the torsional vibration of size-dependent viscoelastic nanorods embedded in an elastic medium with different boundary conditions is investigated. The novelty of this study consists of combining the nonlocal theory with the strain and velocity gradient theory to capture both softening and stiffening size-dependent behavior of the nanorods. The governing equation of motion and its boundary conditions for the vibration analysis of nanorods are derived by employing Hamilton's principle. It is shown that the expressions of the classical stress and the stress gradient resultants are only defined for different values of the nonlocal and strain gradient parameters. The case where these are equal may seem to result in an inconsistency to the general equation of motion and the related non-classical boundary conditions. A rigorous investigation is conducted to prove that that the proposed solution is consistent with physics. Damped eigenvalue solutions are obtained analytically and results of linear free vibration response are obtained for various length-scales.",
keywords = "Kelvin-Voigt model, Nonlocal strain and velocity gradient theory, Torsional nanorod, Torsional vibration, Viscoelasticity",
author = "S. El-Borgi and P. Rajendran and Friswell, \{M. I.\} and M. Trabelssi and Reddy, \{J. N.\}",
note = "Publisher Copyright: copyright {\textcopyright} Crown copyright (2018).All right reserved.; 6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 ; Conference date: 11-06-2018 Through 15-06-2018",
year = "2020",
language = "English",
series = "Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018",
publisher = "International Centre for Numerical Methods in Engineering, CIMNE",
pages = "2992--3003",
editor = "Roger Owen and \{de Borst\}, Rene and Jason Reese and Chris Pearce",
booktitle = "Proceedings of the 6th European Conference on Computational Mechanics",
}