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), 1865-1877. (doi:10.1016/j.compstruc.2005.03.003).

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Description/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 Ω there exist superharmonics of 3Ω O(ε), 5Ω O(ε2), …, (2n − 1) × Ω O(εn−1), n = 1, 2, …

Item Type: Article
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Keywords: nonlinear vibration, harmonic moving load, viscoelastic foundation, Green’s function, perturbation method, fourier transformation
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Q Science > QC Physics
Divisions: University Structure - Pre August 2011 > Institute of Sound and Vibration Research > Dynamics
ePrint ID: 28511
Date Deposited: 28 Apr 2006
Last Modified: 27 Mar 2014 18:17
Contact Email Address: mhkargar@sharif.edu
URI: http://eprints.soton.ac.uk/id/eprint/28511

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