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.

Issue Section:
Technical Papers
Keywords:
damping, elastic hysteresis, structural engineering, Rayleigh waves, elastic waves, railways, soil
Topics:
Damping, Stress, Soil, Rayleigh waves, Pavement live loads
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