Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear dynamic analysis of RC frames using cyclic moment-curvature relation

  • Kwak, Hyo-Gyoung (Department of Civil and Environmental Engineering, Korea Advanced Institute of Science and Technology) ;
  • Kim, Sun-Pil (Department of Civil and Environmental Engineering, Korea Advanced Institute of Science and Technology) ;
  • Kim, Ji-Eun (Department of Civil and Environmental Engineering, Korea Advanced Institute of Science and Technology)
  • Received : 2003.01.17
  • Accepted : 2003.11.17
  • Published : 2004.03.25
⟨ Previous Next ⟩

Abstract

Nonlinear dynamic analysis of a reinforced concrete (RC) frame under earthquake loading is performed in this paper on the basis of a hysteretic moment-curvature relation. Unlike previous analytical moment-curvature relations which take into account the flexural deformation only with the perfect-bond assumption, by introducing an equivalent flexural stiffness, the proposed relation considers the rigid-body-motion due to anchorage slip at the fixed end, which accounts for more than 50% of the total deformation. The advantage of the proposed relation, compared with both the layered section approach and the multi-component model, may be the ease of its application to a complex structure composed of many elements and on the reduction in calculation time and memory space. Describing the structural response more exactly becomes possible through the use of curved unloading and reloading branches inferred from the stress-strain relation of steel and consideration of the pinching effect caused by axial force. Finally, the applicability of the proposed model to the nonlinear dynamic analysis of RC structures is established through correlation studies between analytical and experimental results.

Keywords

References

  1. ACI 318 (1995), Building Code Requirements for Structural Concrete.
  2. Assa, B. and Nishiyama, M. (1998), "Prediction of load-displacement curve of high-strength concrete columnsunder simulated seismic loading", ACI Structural Journal, 95(5), 547-557.
  3. Bayrak, O. and Sheikh, S.A. (1997), "High-strength concrete columns under simulated earthquake loading", ACIStructural Journal, 94(6), 708-722.
  4. Cheng, F.Y. (2001) "Cheng-Lou axial hysteresis model for RC columns and wall", Matrix Analysis of StructuralDynamics-Application and Earthquake Engineering, Marcel Dekker, Incs., New York, 967-977.
  5. Chopra, A.K. (1995), Dynamics of Structures: Theory and Applications to Earthquake Engineering, PrenticeHall, Englewood Cliffs, New Jersey.
  6. Chung, Y.S., Meyer, C. and Shinozuka, M. (1998), "Modeling of concrete damage", ACI Structural Journal,86(3), 259-271.
  7. Clough, R.W. and Johnston, S.B. (1966), "Effect of stiffness degradation on earthquake ductility requirements",Proc. of Japan Earthquake Engineering Symposium, October.
  8. Clough, R.W. and Gidwani, J. (1976), "Reinforced concrete frame 2: Seismic testing and analytical correlation",Earthquake Engrg. Research Center Report No. EERC 76-15, Univ. of California, Berkeley, Calif.
  9. D'Ambrisi, A. and Filippou, F.C. (1997), "Correlation studies on an RC frame shaking-table specimen", Earthq.Eng. Struct. Dyn., 26, 1021-1040. https://doi.org/10.1002/(SICI)1096-9845(199710)26:10<1021::AID-EQE691>3.0.CO;2-L
  10. Dowell, R.K., Seible, F. and Wilson, E.L. (1998), "Pivot hysteresis model for reinforced concrete members", ACIStructural Journal, 95(5), 607-617.
  11. Fang, I.K., Yen, S.T., Wang, C.S. and Hong, K.L. (1993), "Cyclic behavior of moderately deep HSC beam", J.Struct. Eng., ASCE, 119(9), 2537-2592.
  12. FEMA-273 (1997), FEMA, NEHRP Guidelines for the Seismic Rehabilitation of Buildings, Federal EmergencyManagement Agency, Washington, D.C.
  13. Harajli, M.H. and Mukaddam, M.A. (1988), "Slip of steel bars in concrete joints under cyclic loading", J.Struct. Eng., ASCE, 114(9), 2017-2039. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:9(2017)
  14. Kwak, H.G. and Filippou, F.C. (1990), "Finite element analysis of reinforced concrete structures undermonotonic loads", Report No. UCB/SEMM-90/14, Structural Engineering Mechanics and Materials, Universityof California, Berkeley.
  15. Kwak, H.G. and Kim, J.E. (1998), "Material nonlinear analysis of RC beams based on moment-curvaturerelations", Journal of the Computational Structural Engineering Institute of Korea, 11(4), 233-245.
  16. Kwak, H.G. and Kim, S.P. (2001), "Bond-slip behavior under monotonic uniaxial loads", Eng. Struct., 23(3),298-309. https://doi.org/10.1016/S0141-0296(00)00008-0
  17. Kwak, H.G. and Kim, S.P. (2002), "Nonlinear analysis of RC beams based on moment-curvature relation",Comput. Struct., 80, 615-628. https://doi.org/10.1016/S0045-7949(02)00030-5
  18. Kwak, H.G. and Kim, D.Y. (2001), "Nonlinear analysis of RC shear walls considering tension-stiffening effect",Comput. Struct., 79(5), 499-517. https://doi.org/10.1016/S0045-7949(00)00157-7
  19. Low, S.S. and Moehle, J.P. (1987), "Experimental study of reinforced concrete columns subjected to multi-axialcyclic loading", Earthquake Engrg. Research Center Report No. EERC 87-14, Univ. of California, Berkeley,Calif.
  20. Ma, S.M., Bertero, V.V. and Popov, E.P. (1976), "Experimental and analytical studies on the hysteretic behaviorof reinforced concrete rectangular and T-beam", Earthquake Engrg. Research Center Report No. EERC 76-2,Univ. of California, Berkeley, Calif.
  21. Menegotto, M. and Pinto, P.E. (1973), "Method of analysis for cyclically loaded reinforced concrete plane frameincluding changes in geometry and nonelastic behavior of elements under combined normal force andbending", Proceedings of IABSE Symposium on "Resistance and ultimate Deformability of Structures Actedon by Well Defined Repeated Loads", Lisbon.
  22. Mo, Y.L. (1994), "Dynamic behavior of concrete structures", Developments in Civil Engineering, 44.
  23. Monti, G., Filippou, F.C. and Spacone, E. (1997), "Analysis of hysteretic behavior of anchored reinforcing bars",ACI Structural Journal, 94(2), 248-261.
  24. Oh, B.H. (1992), "Flexural analysis of reinforced concrete beams containing steel fibers", J. Struct. Eng., ASCE,118(10), 2821-2836. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:10(2821)
  25. Owen, D.R.J. and Hinton, E. (1980), Finite Elements in Plasticity, Pineridge Press Limited.
  26. Park, R., Kent, D.C. and Sampton, R.A. (1972), "Reinforced concrete members with cyclic loading", J. of theStruct. Div., ASCE, 98(7), 1341-1360.
  27. Pinto, P.E. and Giuffre', A. (1970), "Comportamento del cemento armato per sollecitazioni cicliche di forteintensita", Giornale del Genio Civile, 5.
  28. Popov, E.P., Bertero, V.V. and Krawinkler, H. (1972), "Cyclic behavior of three reinforced concrete flexuralmembers with high shear", Earthquake Engrg. Research Center Report No. EERC 72-5, Univ. of California,Berkeley, Calif.
  29. Roufaiel, M.S.L. and Meyer, C. (1987), "Analytical modeling of hysteretic behavior of reinforced concreteframe", J. Struct. Eng., 113(3), 429-444. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:3(429)
  30. Saatcioglu, M., Alsiwat, J.M. and Ozcebe, G. (1992), "Hysteretic behavior of anchorage slip in RC members", J.Struct. Eng., ASCE, 118(9), 2439-2458. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:9(2439)
  31. Sawyer, H.A. (1964), "Design of concrete frames for two failure states", Proc. of the Int. Sym. on the FlexuralMechanics of Reinforced Concrete, ASCE-ACI, Miami, November, 405-431.
  32. Seaoc (1999), Tentative Guidelines for Performance Based Seismic Engineering, SEAOC Blue Book, StructuralEngineers Association of California.
  33. Spadea, G. and Bencardino, F. (1997), "Behavior of fiber-reinforced concrete beams under cyclic loading", J.Struct. Eng., ASCE, 123(5), 660-668. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:5(660)
  34. Takeda, T., Sozen, M.A. and Nielsen, N.N. (1970), "Reinforced concrete response to simulated earthquake", J. ofthe Struct. Div., ASCE, 96(12).
  35. Taucer, T., Spacone, E. and Filippou, F.C. (1991), "A fiber beam-column element for seismic response analysisof reinforced concrete structures", Earthquake Engrg. Research Center Report No. EERC 91-17, Univ. ofCalifornia, Berkeley, Calif.
  36. Watson, S. and Park, R. (1994), "Simulated seismic load tests on reinforced concrete column", J. Struct. Eng.,ASCE, 120(6), 1825-1849. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:6(1825)
  37. Wight, J.K. and Sozen, M.A. (1975), "Strength decay of RC columns under shear reversals", J. of the Struct.Div., ASCE, 101(5), 1053-1065.

Cited by

  1. Damage Detection of Hysteretic Structures with a Pinching Effect vol.140, pp.3, 2014, https://doi.org/10.1061/(ASCE)EM.1943-7889.0000581
  2. Nonlinear seismic analysis of a super 13-element reinforced concrete beam-column joint model vol.11, pp.5, 2016, https://doi.org/10.12989/eas.2016.11.5.905
  3. Implementation of bond-slip effect in analyses of RC frames under cyclic loads using layered section method vol.28, pp.12, 2006, https://doi.org/10.1016/j.engstruct.2006.03.003
  4. Seismic behaviour of infilled and pilotis RC frame structures with beam–column joint degradation effect vol.33, pp.10, 2011, https://doi.org/10.1016/j.engstruct.2011.06.006
  5. Influence of pinching effect of exterior joints on the seismic behavior of RC frames vol.6, pp.1, 2014, https://doi.org/10.12989/eas.2014.6.1.089
  6. An improved criterion to minimize FE mesh-dependency in concrete structures under high strain rate conditions vol.86, 2015, https://doi.org/10.1016/j.ijimpeng.2015.07.008
  7. An Analytical Research on Determination of Beam and Column Contribution to Plastic Energy Dissipation of RC Frames vol.42, pp.9, 2017, https://doi.org/10.1007/s13369-017-2461-y
  8. Modelling exterior beam-column joints for seismic analysis of RC frame structures vol.37, pp.13, 2008, https://doi.org/10.1002/eqe.826
  9. Cost-effective fabrication and high-frequency response of non-ideal RC application based on 3D porous laser-induced graphene vol.53, pp.17, 2018, https://doi.org/10.1007/s10853-018-2514-y
  10. Nonlinear analysis of RC beams based on simplified moment-curvature relation considering fixed-end rotation vol.4, pp.6, 2004, https://doi.org/10.12989/cac.2007.4.6.457
  11. Parameter identification for nonlinear behavior of RC bridge piers using sequential modified extended Kalman filter vol.4, pp.3, 2008, https://doi.org/10.12989/sss.2008.4.3.319
  12. Modelling beam-to-column joints in seismic analysis of RC frames vol.12, pp.1, 2004, https://doi.org/10.12989/eas.2017.12.1.119
  13. Analysis on the dynamic characteristics of RAC frame structures vol.64, pp.4, 2004, https://doi.org/10.12989/sem.2017.64.4.461