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Response of beams on nonlinear viscoelastic foundations to harmonic moving loads

Kargarnovin, M.H., Younesian, D., Thompson, D.J. and Jones, C.J.C. (2005) Response of beams on nonlinear viscoelastic foundations to harmonic moving loads Computers & Structures, 83, (23-24), pp. 1865-1877. (doi:10.1016/j.compstruc.2005.03.003).

Record type: Article

Abstract

The response of infinite beams supported by nonlinear viscoelastic foundations subjected to harmonic moving loads is studied. A straightforward solution technique applicable in the frequency domain is presented in this paper. The governing equations are solved using a perturbation method in conjunction with complex Fourier transformation. A closed-formed solution is presented in an integral form based on the presented Green’s function and the theorem of residues is used for the calculation of integrals. The solution is directed to compute the deflection and bending moment distribution along the length of the beam. A parametric study is carried out and influences of the load speed and frequency on the beam responses are investigated. It is found that for an excitation frequency of ? there exist superharmonics of 3? O(?), 5? O(?2), …, (2n ? 1) × ? O(?n?1), n = 1, 2, …

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Published date: 2005
Keywords: nonlinear vibration, harmonic moving load, viscoelastic foundation, Green’s function, perturbation method, fourier transformation

Identifiers

Local EPrints ID: 28511
URI: http://eprints.soton.ac.uk/id/eprint/28511
ISSN: 0045-7949
PURE UUID: 7f1fb4a6-d310-40fe-b42a-df4408fe2309

Catalogue record

Date deposited: 28 Apr 2006
Last modified: 17 Jul 2017 16:01

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Contributors

Author: M.H. Kargarnovin
Author: D. Younesian
Author: D.J. Thompson
Author: C.J.C. Jones

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