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On Estimation of Seismic Residual Displacements in Reinforced Concrete Single-Column Bridges Through Force–Displacement Method

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Abstract

Bridges normally undergo nonlinear deformations during a near-field strong ground motion resulting in a critical deviation of their columns from the plumb state due to considerable residual deformations. The conventional hysteresis models formulated for typical concrete columns are normally used for this purpose which most of times fail to correctly predict the residual deformations occurred as a result of a one-sided or directivity pulse excitation. The present research aims at development of a peak-oriented hysteresis model being able to regenerate residual deformations more reasonable compared with the conventional hysteresis models. This multi-linear peak-oriented model considers strength deterioration in each half cycle in addition to stiffness degradations in unloading cycles. Yielding points differ in both positive and negative sides of the hysteresis model that enables us to define a different elastic stiffness of both sides in asymmetric concrete sections. This work also compares the obtained results to the conventional hysteresis models, namely bilinear, Clough, Q-Hyst, Takeda, and Bouc-Wen in terms of prediction of residual nonlinear deformations in cyclic analysis or dynamic analysis of reinforced concrete single-column bridge piers. The obtained results prove higher relative accuracy of the proposed model.

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References

  1. Kawashima K, MacRae GA, Hoshikuma J, Nagaya K (1998) Residual displacement response spectrum. ASCE J Struct Eng 124(5):523–530

    Article  Google Scholar 

  2. Sengupate P, Bing L (2011) Hysteresis Behavior of reinforced concrete non-ductile beam-column joints. In: Proceedings of Ninth Pacific Conference on Earthquake Engineering Building an Earthquake-Resilient Society

  3. Liu H, He M, Guo J, Hou Zh, Shi Y (2015) A modified quasi-static model with lateral stiffness deterioration mechanism for self-centering concrete pier. Int J Civil Eng 13(2):222–233

    Google Scholar 

  4. Arslan G, Hacisalihoglu M, Balci M, Borekci M (2014) An investigation on seismic design indicators of RC columns using finite element analyses. Int J Civil Eng 12(2):139–145

    Google Scholar 

  5. Arslan G, Borekci M (2016) An investigation of the concrete contribution to shear strength of RC columns failing in flexure. Int J Civil Eng 14(3):151–160

    Article  Google Scholar 

  6. Rahai AR, Nafari SF (2013) A comparison between lumped and distributed plasticity approaches in the pushover analysis results of a pc frame bridge. Int J Civil Eng 11(4):217–225

    Google Scholar 

  7. Jalili MM, Orafa AH (2015) A dynamic model for the interaction of the cable bridge and train system. Int J Civil Eng 13(3):347–361

    Google Scholar 

  8. Gajalakshmi P, Helena HJ (2012) Behavior of concrete-filled steel columns subjected to lateral cyclic loading. J Constr Steel Res 75:55–63

    Article  Google Scholar 

  9. Shayanfar MA, Safiey A (2008) Hypoelastic modeling of reinforced concrete walls. Comput Concr 5(3):195–216

    Article  Google Scholar 

  10. Clough RW (1996) Effect of stiffness degradation on earthquake ductility requirements. Structural and Materials Research, Structural Engineering Laboratory, University of California, Berkeley, Report 66-16

  11. Sivaselvan MV, Reinhorn AM (2000) Hysteretic models for deteriorating inelastic structures. J Eng Mech 133(7):982–989

    Google Scholar 

  12. Kunnath SK, Reinhorn AM, Lobo RF (1992) IDARC: A program for the inelastic damage analysis of reinforced concrete structures. National Center for Earthquake Engineering Research, State University of New York at Buffalo, Report No. NCEER-92-0022

  13. Dong P, Moss PJ, Carr AJ (2003) Seismic structural damage assessment of reinforced concrete ductile framed structures. In: Proceedings of International Conference on Earthquake Engineering

  14. Novelli VI (2008) The unloading stiffness of reinforced concrete members. PhD dissertation, University of Pavia at Pavia

  15. Hussein AT (2010) Hysteretic models for MDOF system under earthquake effect. Am J Sci Res 133(12):45–54

    Google Scholar 

  16. Muthukumar S, DesRoches R (2005) Near-fault ground motion effects on reinforced concrete bridge columns. J Earthq Spectra 21(4):1113–1135

    Article  Google Scholar 

  17. Ramirez CM, Miranda E (2012) Significance of residual drifts in building earthquake loss estimation. J Earthq Eng Struct Dyn 41(11):1477–1493

    Article  Google Scholar 

  18. Yazgan U, Dazio A (2011) Simulating maximum and residual displacement of RC structures: I. Accuracy. J Earthq Spectra 27(4):1187–1202

    Article  Google Scholar 

  19. Yazgan U, Dazio A (2011) Simulating maximum and residual displacement of RC structures: II. Sensitivity. J Earthq Spectra 27(4):1203–1218

    Article  Google Scholar 

  20. Sengupate P, Bing L (2013) Modified Bouc-Wen model for hysteresis behavior of RC Beam-Column Joints with limited transverse reinforcement. J Eng Struct 46(5):392–406

    Article  Google Scholar 

  21. Bojorquez E, Ruiz-Garcia J (2013) Residual drift demands in moment-resisting steel frames subjected to narrow-band earthquake ground motions. J Earthq Eng Struct Dyn 42(11):1583–1598

    Article  Google Scholar 

  22. Lee WK, Billigton S (2010) Modeling residual displacement of concrete bridge column under earthquake loads using fiber elements. ASCE J Bridge Eng 15(3):240–249

    Article  Google Scholar 

  23. Acun B, Sucuoglu H (2010) Performance of flexure controlled concrete columns under Severe displacement cycles. ACI Struct J 107(3):364–371

    Google Scholar 

  24. Choi H, Saiidi M, Somervile P, El-Azazy S (2005) Bridge seismic analysis procedure to address near-fault effects, paper 02-501, proceeding, Caltrans bridge research conference, Sacramento

  25. Fahmy FM, Zhishen W, Gang W, Zeyang S (2010) Post-yield stiffness and residual deformation of RC bridge columns reinforced with ordinary rebars and steel fiber composite bars. Eng Struct 32(1):2969–2983

    Article  Google Scholar 

  26. Saiidi M, Sozen M (1979) Simple and complex models for nonlinear seismic response of reinforced concrete structures. Structural Research Series No. 465, Civil engineering Studies, University of Illinois

  27. Jeong HI, Sakai J, Mahin SA Shaking table tests and numerical investigation of self-centering reinforced concrete bridge columns, 2008, PEER-2008/06, Pacific Earthquake Engineering Research Center, University of California at Berkeley, California

  28. Takeda T, Sozen MA, Nielson NN (1970) Reinforced concrete response to simulated earthquakes. ASCE J Struct Eng 96(12):2257–2273

    Google Scholar 

  29. Lehman DE, Moehle JP Seismic performance of well-confined concrete bridge columns, 2000, PEER-1998/01, Pacific Earthquake Engineering Research Center, University of California at Berkeley, California

  30. Lehman DE, Moehle JP Behavior of reinforced concrete bridge columns having varying aspect ratios and varying lengths of confinement, 2001, PEER-2000/08, Pacific Earthquake Engineering Research Center, University of California at Berkeley, California

  31. Rahnama M, Krawinkler H (1993) Effects of soft soil and hysteresis models on seismic design spectra. The John A. Blume Earthquake Engineering Center, Universiyt of Stanford

  32. Dutta SC, Das PK (2002) Validity and applicability of two simple hysteresis models to assess progressive seismic damage in R/C asymmetric BUilding. J Sound vib 257(4):753–777

    Article  Google Scholar 

  33. Dutta SC (2001) Effect of strength deterioration on inelastic seismic torsional behaviour of asymmetric RC building. Build Environ 36(4):1109–1118

    Article  Google Scholar 

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Correspondence to Farhad Daneshjoo.

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Ansari, M., Daneshjoo, F. & Mohammadi, M.S. On Estimation of Seismic Residual Displacements in Reinforced Concrete Single-Column Bridges Through Force–Displacement Method. Int J Civ Eng 15, 473–486 (2017). https://doi.org/10.1007/s40999-016-0079-1

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  • DOI: https://doi.org/10.1007/s40999-016-0079-1

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