Responses of infinite periodic structures to moving or stationary harmonic loads

• Published in: Journal of sound and vibration Vol. 282; no. 1; pp. 125 - 149
• Main Authors: Sheng, X., Jones, C.J.C., Thompson, D.J.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 06.04.2005; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Free vibration; Ballast; Multiple support; Modeling; Beam(mechanics); Periodic structure; Stationary condition; Finite element method; Infinite medium; Moving load; Rail transportation; Sinusoidal excitation; Dynamic load
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2004.02.050

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.