Sheng, X., Jones, C.J.C. and Thompson, D.J.
Responses of infinite periodic structures to moving or stationary harmonic loads
Journal of Sound and Vibration, 282, (1-2), . (doi:10.1016/j.jsv.2004.02.050).
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Formulae are derived for the computation of the response of periodically supported structures subject to a moving or stationary harmonic load. They are expressed in terms of an integral over the wavenumber in the longitudinal direction. The structures may be described using either a multiple-beam model, or more generally, a two-and-half-dimensional finite-element model. The supports, described by a receptance matrix, may have arbitrary degrees of freedom, either translational or rotational. Equations for free vibration propagation constants are yielded straightforwardly. Results are produced for a conventional ballasted track, showing the effects of the load speed and the modelling of the supports.
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