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Vibration of a beam on continuous elastic foundation with nonhomogeneous stiffness and damping under a harmonically excited mass

Koroma, Samuel G.; Hussein, Mohammed F.M.; Owen, John S.

Authors

Samuel G. Koroma evxsgk1@nottingham.ac.uk

Mohammed F.M. Hussein



Abstract

In this paper, a method of analysis of a beam that is continuously supported on a linear nonhomogeneous elastic foundation and subjected to a harmonically excited mass is presented. The solution is obtained by decomposing the nonhomogeneous foundation properties and the beam displacement response into double Fourier summations which are solved in the frequency–wavenumber domain, from which the space–time domain response can be obtained. The method is applied to railway tracks with step variation in foundation properties. The validity of this method is checked, through examples, against existing methods for both homogeneous and nonhomogeneous foundation parameters. The effect of inhomogeneity and the magnitude of the mass are also investigated. It is found that a step variation in foundation properties leads to a reduction in the beam displacement and an increase in the resonance frequency for increasing step change, with the reverse occurring for decreasing step change. Furthermore, a beam on nonhomogeneous foundation may exhibit multiple resonances corresponding to the foundation stiffness of individual sections, as the mass moves through the respective sections along the beam.

Citation

Koroma, S. G., Hussein, M. F., & Owen, J. S. (2014). Vibration of a beam on continuous elastic foundation with nonhomogeneous stiffness and damping under a harmonically excited mass. Journal of Sound and Vibration, 333(9), https://doi.org/10.1016/j.jsv.2014.01.001

Journal Article Type Article
Acceptance Date Jan 2, 2014
Online Publication Date Jan 23, 2014
Publication Date Apr 28, 2014
Deposit Date Jul 29, 2016
Publicly Available Date Jul 29, 2016
Journal Journal of Sound and Vibration
Print ISSN 0022-460X
Electronic ISSN 0022-460X
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 333
Issue 9
DOI https://doi.org/10.1016/j.jsv.2014.01.001
Public URL http://eprints.nottingham.ac.uk/id/eprint/35570
Publisher URL http://www.sciencedirect.com/science/article/pii/S0022460X14000224
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0





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