Analysis of train-induced vibrations and vibration reduction schemes above and below critical Rayleigh speeds by finite element method

Shen Haw Ju, Hung Ta Lin

Research output: Contribution to journalArticle

40 Citations (Scopus)


This paper simulates soil vibration under the train speed below and over the soil Rayleigh speed using the three-dimensional finite element method. Two vibration isolation schemes were studied including the soil improvement around the railway and the concrete slab constructed between the rail and soil. Numerical results indicate that the vibration increases considerably and decays slowly when the train speed exceeds the soil Rayleigh speed. The wave direction and dominant frequencies are the simple functions of the train speed, the soil Rayleigh speed and the train compartment length. When the train speed exceeds the shear wave speed, the vibration magnitude is critical and not sensitive to the train speed. To reduce this vibration, the two isolation schemes investigated in this study are useful for the train speed over the soil Rayleigh speed, but they are not efficient for the train speed below the soil Rayleigh speed.

Original languageEnglish
Pages (from-to)993-1002
Number of pages10
JournalSoil Dynamics and Earthquake Engineering
Issue number12
Publication statusPublished - 2004 Dec 1


All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Geotechnical Engineering and Engineering Geology
  • Soil Science

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