Gupta S., Degrande G., Lombaert G.ExpIssueerimental validation of a numerical model for subway induced vibrations. Journal of sound and vibration, vol. 321, Issue 3, 2009, pp. 786–812,.  Hussein M. F. M. Vibration from underground railways. PhD thesis,University of Cambridge, 2004.  Hung H.-H., Yang Y.-B.A review of researches on ground-borne vibrations with emphasis on those induced by trains. in Proc. Nat. Sci. Council Part A: Phys. Sci. & Eng, vol. 25, 2001, p. 1–16.  Madshus C., Kaynia A. M.High-speed railway lines on soft ground: dynamic behaviour at critical train speed. Journal of Sound and Vibration, vol. 231, Issue 3, 2000, p. 689–701.  Takemiya H.Simulation of track–ground vibrations due to a high-speed train: the case of X-2000 at Ledsgard. Journal of Sound and Vibration, vol. 261, Issue 3, 2003, p. 503–526.  Krylov V. V. “On the theory of railway-induced ground vibrations. Le Journal de Physique IV, vol. 4, Issue C5, 1994, p. C5-769-C5-772.  Kaynia A. M., Madshus C., Zackrisson P.Ground vibration from high-speed trains: prediction and countermeasure. Journal of Geotechnical and Geoenvironmental Engineering, vol. 126, Issue 6, 2000, p. 531–537.  Lombaert G., Degrande G., Kogut J., François S. “The experimental validation of a numerical model for the prediction of railway induced vibrations. Journal of Sound and Vibration, vol. 297, Issue 3, 2006, p. 512–535.  Chebli H., Clouteau D., Schmitt L.Dynamic response of high-speed ballasted railway tracks: 3D periodic model and in situ measurements. Soil Dynamics and Earthquake Engineering, vol. 28, Issue 2, 2008, p. 118–131.  Galvín P., Dominguez J.,High-speed train-induced ground motion and interaction with structures. Journal of Sound and Vibration, vol. 307, Issue 3, 2007, p. 755–777.  Degrande G., Schillemans L. Free field vibrations during the passage of a Thalys high-speed train at variable speed. Journal of Sound and Vibration, vol. 247, Issue 1, 2001, p. 131–144.  HallL.Simulations and analyses of train-induced ground vibrations in finite element models. Soil Dynamics and Earthquake Engineering, vol. 23, Issue 5, 2003, p. 403–413.  Hussein M. F. M.,Hunt H. E. M.A power flow method for evaluating vibration from underground railways. Journal of Sound and Vibration, vol. 293, Issue 3, 2006, p. 667–679.  Pakbaz M. S., Mehdizadeh R., Vafaeian M., Bagherinia K. Numerical prediction of subway induced vibrations: case study in Iran-Ahwaz city. J. Appl. Sci, vol. 14, Issue 9, 2009, p. 1812–5654.  Hou B., Gao L., Xin T., Cai X.Prediction of structural vibrations using a coupled vehicle-track–building model. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, vol. 230, Issue 2, 2016, p. 510–530.  Cik M., LercherP. Ground-borne vibrations, sounds and secondary airborne sounds from tramways: A psychoacoustic evaluation including health aspects. in INTER-NOISE and NOISE-CON Congress and Conference Proceedings, vol. 249, 2014, p. 3352–3360.  YaoJ., Xia H., Zhang N., YuB.,Prediction on building vibration induced by moving train based on support vector machine and wavelet analysis. Journal of Mechanical Science and Technology, vol. 28, Issue 6, 2014, p. 2065–2074.  AdamM.,Von Estorff O.Reduction of train-induced building vibrations by using open and filled trenches. Computers & structures, vol. 83, Issue 1, 2005, p. 11–24.  Andersen L., Nielsen S. R.Reduction of ground vibration by means of barriers or soil improvement along a railway track. Soil Dynamics and Earthquake Engineering, vol. 25, Issue 7, 2005, p. 701–716.  Xu Y. L.,Guo A. X. Microvibration control of coupled high tech equipment-building systems in vertical direction. International journal of solids and structures, vol. 43, Issue 21, 2006, p. 6521–6534.  WangH., Tao T., ChengH., He X.Simulation study on train-induced vibration control of a long-span steel truss girder bridge by tuned mass dampers. Mathematical Problems in Engineering, vol. 2014, 2014.  HolmG., AndréassonB., Bengtsson P.-E., BodareA., ErikssonH.Mitigation of track and ground vibrations by high speed trains at Ledsgard, Sweden. Swedish Deep Stabilization Research Centre, Report, vol. 10, 2002, p. 58.  ItascaF. “Fast lagrangian analysis of continua in 3 dimensions. Online Manual, 2013.  KrylovV. V. Noise and vibration from high-speed trains. Thomas Telford, 2001.  PaolucciR., MaffeisA., Scandella L., StupazziniM., Vanini M.Numerical prediction of low-frequency ground vibrations induced by high-speed trains at Ledsgaard, Sweden. Soil Dynamics and Earthquake Engineering, vol. 23, Issue 6, 2003, p. 425–433.  BowlesL. E. Foundation analysis and design. McGraw-hill, 1996.  LaiC. G., Callerio A., FaccioliE., MorelliV., RomaniP., “Prediction of railway-induced ground vibrations in tunnels,Journal of vibration and acoustics, vol. 127, Issue 5, 2005, p. 503–514.  NikbakhtR.Prediction of ground vibrations in buildings around subway lines. Department of Civil Engineering, Master Thesis, Islamic Azad University - Yazd Branch, Yazd, Iran, 2011. .