Response of a 3D elastic half-space to a distributed moving load

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EGE N., ŞAHİN O., ERBAŞ B.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.46, no.5, pp.817-828, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 5
  • Publication Date: 2017
  • Doi Number: 10.15672/hjms.2017.434
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.817-828
  • Keywords: Moving load, Asymptotic model, Rayleigh wave, Causality, RAYLEIGH-WAVE, SURFACE, VIBRATIONS, BRIDGE, TRAIN, MODEL
  • Anadolu University Affiliated: Yes

Abstract

The dynamic effect of an out of plane distributed moving load on the surface of an elastic half-space is considered. The problem is formulated in terms of a hyperbolic-elliptic asymptotic model for a moving load where the trajectory and the distribution of the load are taken to be orthogonal. Steady-state equations are written in terms of a moving coordinate system. The near-resonant solutions are, then, obtained for sub and super-Rayleigh cases taking into account the causality principle. Numerical results of displacement components are presented for various values of the distribution parameter.