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Date of Publication:2022-10-06

Journal:工程力学

Volume:33

Issue:6

Page Number:98-106

ISSN No.:1000-4750

Abstract:It is a kind of fundamental work to obtain the dynamic response of a
   viscoelastic half-space subjected to moving loads for solving the
   environment vibration problems caused by traffic loads. Although the
   dynamic response of a viscoelastic half-space under moving loads in an
   integral form is not hard, the evaluation of these integrals is a
   formidable task due to the high oscillation and singularity when the
   loads' speed approaches or exceeds Rayleigh-wave speed. In this paper,
   the response of a viscoelastic half-space under moving random line loads
   has been studied, including uniform loads and non-uniform loads. Using
   the pseudo-excitation method, the stochastic analysis of the system is
   transformed into deterministic analysis; and then by applying Fourier
   transformation, the response in an integral form is developed. First,
   the integration interval is confirmed by visualizing the integrand; and
   then the oscillation of the integrand can be overcome by adopting
   adaptive numerically integration algorithm; finally, the numerical
   results are obtained. For the purpose of verification, the response of a
   viscoelastic half-space subjected to moving deterministic loads is also
   evaluated, and the numerical results have a good agreement with those in
   literatures. Based on the numerical method, the response of a
   viscoelastic half-space under moving random loads have been calculated,
   including the subsonic, transonic and supersonic cases. The response's
   distribution in time and in space as well as the contribution of
   different moving loads' speeds to the response are analyzed.

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