Dynamic Interaction between the Raft-Superstructure and the Saturated Soil under Moving Load

Abstract:

The purpose of the present work is to investigate the dynamic interaction between plate and structure in a poroelastic half-space produced by moving load using a semi-analytical method. Biots dynamic equations are solved by the Fourier transform technique. The forces and displacements of the superstructure, plate and poroelastic medium at any time are obtained by using the numerical inverse transform technique. Based on the derivation and numerical examples presented above, the following conclusions are drawn: the horizontal displacements and vertical displacements of each floor of the superstructure increase with increasing the velocities of moving load. The vertical displacements in each floor have small change.

• Periodical: Applied Mechanics and Materials (Volumes 405-408)
• Pages: 445-449
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.405-408.445
• Online since: September 2013
• Authors: Xue Jia Chen, Man Qing Xu
• Keywords: Integral Equation, Moving Load, Saturated Half-Space, Semi-Analytical Method, Superstructure, Thin Plate Theory

References

[1] Sheng X., Jones C.J.C. and Petyt M. Ground vibration generated by a load moving along a railway track. Journal of Sound and Vibration, vol. 228(1999), pp.129-156.

DOI: 10.1006/jsvi.1999.2406

[2] Metrikine A. V., Vrouwenvelder A. C. W. M. 2000, Surface ground vibration due to a moving train in a tunnel: two-dimensional model. Journal of Sound and Vibration, vol. 234(2000): 43-66.

DOI: 10.1006/jsvi.1999.2853

[3] Shadnam M.R., Rofooei F.R., Mofid M. and Mehri B. Periodicity in the response of nonlinear plate, under moving mass. Thin-Walled Structures, vol. 40(2002), p.283–295.

DOI: 10.1016/s0263-8231(01)00041-6

[4] Celebi E. Three-dimensional modelling of train-track and sub-soil analysis for surface vibrations due to moving loads. Applied Mathematics and Computation, vol. 179(2006), p.209–230.

DOI: 10.1016/j.amc.2005.11.095

[5] Theodorakopoulos D.D. Dynamic analysis of a poroelastic half-plane soil medium under moving loads. Soil Dynamics and Earthquake Engineering, vol. 23(2003), p.521–533.

DOI: 10.1016/s0267-7261(03)00074-5

[6] Jin B., Yue Z.Q. and Tham L.G. Stresses and excess pore pressure induced in saturated poroelastic halfspace by moving line load. Soil Dynamics and Earthquake Engineering, vol. 24(2004), p.25–33.

DOI: 10.1016/j.soildyn.2003.09.004

[7] Lu J.F., Jeng D.S. A half-space saturated poro-elastic medium subjected to a moving point load. International Journal of Solids and Structures, vol. 44(2007), pp.573-586.

DOI: 10.1016/j.ijsolstr.2006.05.020

[8] Hasheminejad S.M., Komeili M. Effect of imperfect bonding on axisymmetric elastodynamic response of a lined circular tunnel in poroelastic soil due to a moving ring load. International Journal of Solids and Structures, vol. 46(2009), p.398–411.

DOI: 10.1016/j.ijsolstr.2008.08.040

[9] Biot M.A. General theory of three dimensional consolidation, Journal of Applied Physics, vol. 12(1941), pp.155-164.

[10] Biot M.A. Mechanics of deformation and acoustic propagation in porous media, Journal of Applied Physics, vol. 33(1962), pp.1482-1498.

DOI: 10.1063/1.1728759