Surface vibration due to a sequence of high speed moving harmonic rectangular loads

• Published in: Soil dynamics and earthquake engineering (1984) Vol. 22; no. 6; pp. 459 - 473
• Main Authors: Lefeuve-Mesgouez, G., Peplow, A.T., Le Houédec, D.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01-08-2002; Elsevier Science
• Subjects: Doppler effect; Earth sciences; Earth, ocean, space; Earthquakes, seismology; Elastic layered media; Engineering and environment geology. Geothermics; Exact sciences and technology; Half-space; Internal geophysics; Mach number; Natural hazards: prediction, damages, etc; Wave propagation; Elastic layered media; Wave propagation; Doppler effect; Mach number; Half-space; models; Fourier transformation; elastic media; Rayleigh waves; layered media; velocity; vibration; harmonics; propagation; displacements; half-space; seismic waves
• ISSN: 0267-7261; 1879-341X
• DOI: 10.1016/S0267-7261(02)00034-9

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.