[1] Bahrekazemi, M., “Train-Induced Ground Vibration and Its Prediction”, Stockholm, 2004.
[2] Barkan, D. D., “Dynamics of Bases and Foundations”, McGraw-Hill. 1962.
[3] Dominguez, J., J. M. Roesset, “Dynamic Stiffness of Rectangular Foundations”, Research report R78-20 Department of Civil Engineering, MIT. 1978.
[4] Woods, R. D., “Screening of Surface Waves by Trenches”, Ph.D Thesis University of Michigan, 1967.
[5] Ahmad, S., T. M. Al-Hussaini, K. L. Fishman, "Investigation on active isolation of machine foundations by open trenches," Geot. Eng Vol.122, No.6, 1996, pp.454-461.
[6] Adam, M., T. G. Pflanz, G. Schmid, “Two and three dimentional transient responses of half-space under dynamic strip loads and train track loads”, 12 WCEE., Cairo, Egypt - Bochum, Germany-0568. 2000
[7] Shrivastavaa, K., Rao Kameswara, “Response of soil media due to impulse loads and isolation using trenches”, Soil Dynamics and Earthquake Engineering, Vol. 22, 2002, pp.695–702.
[8] Bennett, A.G., C.J.C. Jones, D. J. Thompson, “A numerical investigation of railway ground vibration mitigation using a trench in a layered soil”, Noise and Vibration Mitigation for Rail Trans. Sys., Vol.118, 2012, pp.315–322.
[9] Leshchinsky, B. and H. I. Ling, "Numerical modeling of behavior of railway ballasted structure with geocell confinement", Geotextiles and Geomembranes Vol.36, 2013, pp.33-34.
[10] احمدی، م.، ح. هاشم الحسینی، ح. نجاتی، "شبیه سازی بار دینامیک قطار و بررسی تاثیر آن بر لرزش سطح زمین "، فصلنامه حمل و نقل س.2 ، ش. 1، 1389.
[11] سعادتفر، ا.، ع. اردکانی" بررسی عددی اثر پارامتر های هندسی ترانشه باز بر کاهش ارتعاشات ناشی از حرکت قطار با استفاده از مدل شبیه سازی بار قطار " فصلنامه اساس، س.17، ش. 40، 1394.
[12] ISO 14837-1:2005 “Mechanical Vibration Ground Borne Noise and Vibration Arising from Rail System”, part1: General guidance.
[13] Lars, H. “Simulations and analyses of train-induced ground vibrations in finite element models”, Soil Dynamics and Earthquake Engineering, Vol. 23, 2003, p.p.403–413.
[14] Nejati, H., M. Ahmadi, M. “Numerical analysis of ground surface vibration induced by underground train movement”, Tunneling and Underground Space Technology, Vol.29, 2012, pp.1-9.
[15] Feng, X., X. H. Xia, and J. H. Wang, “The Application of small strain model in excavation”, The National Natural Science Foundation of China, No.50679041, 2009.
[16] Vermeer, P. A., T. Schanz, and P. G. Bonnier, “The hardening soil model formulation and verification,” Proceedings of Plaxis Symposium on Beyond 2000 in Computational Geotechnics, Amsterdam, Rotterdam, Balkema, 1999, pp 281– 296.
[17] Benz, T., “Small-strain Stiffness of Soils and its Numerical Consequences”, Ph. D. Thesis, Institut fur Geotechnik, Universitat Stuttgart, Germany, 2007
[18] Kuhlmeyer R L, J. Lysmer, "Finite element method accuracy for wave propagation problems", Journal of the Soil Mechanics and Foundations Division, (SM5), Vol.99, 1973, pp.421–427.
[19] Chopra, A. K., “Dynamics of Structure”, First Edit., New Jersy, Prentice hall. 1995.
[20] بازیار, م. و ز قناد، دینامیک خاک, دانشگاه علم و صنعت ایران، 1391.
[21] Woods, R., “Dynamic effects of pile installations on adjacent structures”, Washington: NCHRP_Syn_253, 1997.
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