A closed-form solution is presented for the problem of a moving point load on an elastic half-plane with hysteretic damping. The problem has been studied in order to investigate the dynamic amplification of stresses and displacements if the velocity of the load approaches the Rayleigh wave velocity or the shear wave velocity in the elastic medium. This is relevant for the construction of high speed railway lines on relatively soft soils. Hysteretic damping is introduced as pseudo-viscous damping, assuming that the damping in a full cycle of loading and unloading is independent of the frequency.
Moving Loads on an Elastic Half-Plane With Hysteretic Damping
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, July 26, 2000; final revision, June 12, 2001. Associate Editor: R. C. Benson. Discussion on the paper should be addressed to the Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Verruijt, A., and Co´rdova, C. C. (June 12, 2001). "Moving Loads on an Elastic Half-Plane With Hysteretic Damping ." ASME. J. Appl. Mech. November 2001; 68(6): 915–922. https://doi.org/10.1115/1.1410097
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