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Surface vibration due to a sequence of high speed moving harmonic rectangular loads
Authors:G Lefeuve-Mesgouez  A T Peplow  D Le Houdec
Institution:a Laboratoire d'Hydrodynamique Complexe, Faculté des Sciences, Université d'Avignon et des Pays du Vaucluse, 33 rue Louis Pasteur, 84000, Avignon, France;b Marcus Wallenberg Laboratory of Sound and Vibration Research, KTH, Stockholm S-100 44, Sweden;c Ecole Centrale de Nantes, LMM, B.P. 92101, 44072, Nantes Cedex 03, France
Abstract:The transmission of vibrations over the surface of the ground, due to high-speed moving, vertical harmonic rectangular loads, is investigated theoretically. The problem is three-dimensional and the interior of the ground is modelled as an elastic half-space or a multilayered ground. The transformed solutions are obtained using the Fourier transform on the space variable. A new damping model in the spatial wavenumber domain, presented in Lefeuve-Mesgouez et al. J. Sound. Vibr. 231 (2000) 1289] is used. Numerical results for the displacements on the surface are presented for loads moving with speeds up to and beyond the Rayleigh wave speed of the half-space.
Keywords:Doppler effect  Mach number  Half-space  Elastic layered media  Wave propagation
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