HUANG Qiang, LIU Ganbin, Lü Qing, HUANG Hongwei, ZHENG Rongyue. Comparative Analysis of Dynamic Responses of Timoshenko Beams on Visco-Elastic Foundations Under Moving Loads[J]. Applied Mathematics and Mechanics, 2020, 41(7): 735-746. doi: 10.21656/1000-0887.400235
Citation: HUANG Qiang, LIU Ganbin, Lü Qing, HUANG Hongwei, ZHENG Rongyue. Comparative Analysis of Dynamic Responses of Timoshenko Beams on Visco-Elastic Foundations Under Moving Loads[J]. Applied Mathematics and Mechanics, 2020, 41(7): 735-746. doi: 10.21656/1000-0887.400235

Comparative Analysis of Dynamic Responses of Timoshenko Beams on Visco-Elastic Foundations Under Moving Loads

doi: 10.21656/1000-0887.400235
Funds:  The National Natural Science Foundation of China(General Program)(51778303); The National Natural Science Foundation of China(Key Program)(51538009)
  • Received Date: 2019-08-06
  • Rev Recd Date: 2019-10-16
  • Publish Date: 2020-07-01
  • The dynamic responses of 3D, 2D and 1D track-ground models under moving loads were analyzed based on the Fourier transformation technique. The track was modelled as a Timoshenko beam, and response discrepancies between the 3 models were compared in terms of different load speeds and ground thicknesses. The results indicate that, there is an equivalent ground stiffness in the 3D track-ground model, which is a function of the wave number and the frequency. The critical velocities of 2D and 3D track-ground models are almost the same, but are much smaller than that of the 1D model. When the load speed is less than the critical speed, the Timoshenko beam deflection of the 3D model is the smallest, that of the 2D model is the intermediate, and that of the 1D model is the largest. However, when the load speed reaches or exceeds the critical velocity, the T beam deflection of the 2D model becomes the largest, and the time history curves of the T beam deflection for the 3 models are significantly different. In the 2D and 3D models, the longitudinal ground displacement firstly increases with the soil depth to a peak value and then decreases, but the vertical displacement decreases continuously with the soil depth.
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