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Low-frequency perturbations of rigid body motions of a viscoelastic inhomogeneous bar

Kaplunov

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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.

Acceptance Date Jan 25, 2015
Publication Date Feb 21, 2015
Journal Mechanics of Time-Dependent Materials
Print ISSN 1385-2000
Publisher Springer Verlag
Pages 135 -151
DOI https://doi.org/10.1007/s11043-015-9256-x
Keywords viscoelastic, microstructure, perturbation, rigid body, low-frequency
Publisher URL http://dx.doi.org/10.1007/s11043-015-9256-x

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