[1] Silva, W. J, (1997)."Characteristic of vertical ground motions for application to engineering design " . Proc., FHWA/NCEER Workshop on the National representation of Seismic Ground Motion for New and Existing Highway Facilities, Tech. Rep. No.NCEER-97-0010, National Center for Earthquake Engineering Research, State Univ. of New York at Buffalo, N.Y, 205-252.
[2] Yang , J., Lee, C.M. (2007)." Characteristics of vertical and horizontal ground motions recorded during the Niigata-ken Chuetsu, Japan Earthquake of 23 October 2004". Engineering Geology 94 (1-2) PP. 50–64.
[3] CALTRANS SEISMIC DESIGN CRITERIA.: SDC(2006)
[6] Yu, C. P., Broekhuuizen, D. S., Roesset, J. M., Breen, J. E., and Kreger, M. E.(1997)."Effect of vertical ground motion on bridge deck response" Proc. Workshop on Earthquake Engineering Frontiers in Transportation Facilities, Tech. Rep. No.NCEER-97-0005, National Center of Earthquake Engineering Research, State Univ. of New York at Buffalo. N.Y.,249-263.
[7] Xiao, Yan ., Esmaeily-G, Asad. (1999). "Seismic Behavior of Reinforced Concrete Columns Subjected to Variable Axial Loads" USC Structural Engineering Research Report.
[9] رهایی، علیرضا; دلنواز، علی ." بررسی اثر مؤلفه قائم زلزله بر روی پلهای قابی شکل و پیش تنیده" دومین کنفرانس بین المللی بتن و توسعه-10 اردیبهشت 1384 ، تهران، ایران.
[11] Xia, H., Han, Y., Zhang, N., Guo1, W. )2006(.”Dynamic analysis of train–bridge system subjected to non-uniform seismic excitations”
Earthquake Engineering and Structural Dynamics 35 (12), pp. 1563-1579
[12] UBC. (Uniform Building Code) International Conference of Building Officials , Whitter California 1997.
[13] شکیب، حمزه و همکاران؛ طیف طرح زلزله برای ایران؛ گزارش تحقیقاتی؛ شماره نشریه: گ-430؛ مرکز تحقیقات ساختمان و مسکن؛ وزارت مسکن و شهرسازی؛ 1385.
[14] PEER Pacific Earthquake Engineering Research Center, “Strong Ground Motion Database, “ web site:
[15] Cheung, Y. K., Au, F.T.K., Zheng, D.Y., Cheng, Y.S. (1999). "Vibration of Multi-span Non-uniform Bridges Under Moving Vehicles and Trains by Using Modified Beam Vibration Functions ", Journal of Sound and vibration 228(3), 611-628
[16] Car, E., Oller, S., Onate, E. (2000) . "An anisotropic elastoplastic constitutive model for large strain analysis of fiber reinforced composite materials”
Computer Methods in Applied Mechanics and Engineering 185 (2-4), pp. 245-277
[17] Oller, S., Barbat, A.H. (2006)." Moment–curvature damage model for bridges subjected to seismic loads". Computer Methods in Applied. Mechanics and. Engineering. 195(33-36) .4490–4511
[18] Chang, S.T.(2004)."Shear Lag Effect in Simply Supported Prestressed Concrete Box Girder". Journal of Bridge Engng © ASCE / 9 (2), pp-178–184.
[19] محمودزاده کنی، ایرج."طراحی سازهای بتن پیش تنیده"، تهران 1386.
[20] آیین نامه بارگذاری پلها، نشریه 139، انتشارات سازمان مدیریت وبرنامه ریزی کشور 1379.