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Kaplunov, J, Shestakova, A, Aleynikov, I, Hopkins, B and Talonov, A (2015) Low-frequency perturbations of rigid body motions of a viscoelastic inhomogeneous bar. Mechanics of Time-Dependent Materials, 19 (2). 135 -151. ISSN 1573-2738

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Abstract

This paper deals with a low-frequency analysis of a viscoelastic inhomogeneous bar subject to end loads. The spatial variation of the problem parameters is taken into consideration. Explicit asymptotic corrections to the conventional equations of rigid body motion are derived in the form of integro-differential operators acting on longitudinal force or bending moment. The refined equations incorporate the effect of an internal viscoelastic microstructure on the overall dynamic response. Comparison with the exact time-harmonic solutions for extension and bending of a bar demonstrates the advantages of the developed approach. This research is inspired by modeling of railcar dynamics.

Item Type: Article
Additional Information: © The Authors, Society for Experimental Mechanics; Accepted version of paper published as Kaplunov, J. et al., 2015. Low-frequency perturbations of rigid body motions of a viscoelastic inhomogeneous bar. Mechanics of Time-Dependent Materials, 19(2), pp.135–151. Available at: http://dx.doi.org/10.1007/s11043-015-9256-x.
Uncontrolled Keywords: viscoelastic, microstructure, perturbation, rigid body, low-frequency
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 29 Feb 2016 16:39
Last Modified: 07 May 2019 11:44
URI: https://eprints.keele.ac.uk/id/eprint/1509

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