Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Evaluating the spread plasticity model of IDARC for inelastic analysis of reinforced concrete frames

  • Received : 2015.04.05
  • Accepted : 2015.10.05
  • Published : 2015.10.25
⟨ Previous Next ⟩

Abstract

There are two types of nonlinear analysis methods for building frameworks depending on the method of modeling the plastification of members including lumped plasticity and distributed plasticity. The lumped plasticity method assumes that plasticity is concentrated at a zero-length plastic hinge section at the ends of the elements. The distributed plasticity method discretizes the structural members into many line segments, and further subdivides the cross-section of each segment into a number of finite elements. When a reinforced concrete member experiences inelastic deformations, cracks tend to spread form the joint interface resulting in a curvature distribution. The program IDARC includes a spread plasticity formulation to capture the variation of the section flexibility, and combine them to determine the element stiffness matrix. In this formulation, the flexibility distribution in the structural elements is assumed to be the linear. The main objective of this study is to evaluate the accuracy of linear flexibility distribution assumed in the spread inelasticity model. For this purpose, nonlinear analysis of two reinforced concrete frames is carried out and the linear flexibility models used in the elements are compared with the real ones. It is shown that the linear flexibility distribution is incorrect assumption in cases of significant gravity load effects and can be lead to incorrect nonlinear responses in some situations.

Keywords

References

  1. Al-Haddad, M.S. and Wight, J.K. (1986), "Feasibility and consequences of moving beam plastic hinging zones for earthquake resistant design of R/C buildings", Report No. UMCE 86-1, The University of Michigan, Ann Arbor, Michigan.
  2. Alva, G.M.S. and de Cresce El, A.L.H. (2010), "Application of lumped dissipation model in nonlinear analysis of reinforced concrete structures", Eng. Struct., 32(4), 974-81. https://doi.org/10.1016/j.engstruct.2009.12.024
  3. Aoyama, H. and Sugano, T. (1968), "A generalized inelastic analysis of reinforced concrete structures based on the tests of members", Recent researches of structural mechanics, Contribution in Honour of the 60th Birthday of Professor Y. Tsuboi, Uno-Shoten, Tokyo, 15-30.
  4. Birely, A.C., Lowes, L.N. and Lehman, D.E. (2012), "A model for the practical nonlinear analysis of reinforced-concrete frames including joint flexibility", Eng. Struct., 34(1), 455-65. https://doi.org/10.1016/j.engstruct.2011.09.003
  5. Clough, R.W. and Johnston, S.B. (1966), "Effect of stiffness degradation on earthquake ductility requirements", Transactions of Japan Earthquake Engineering Symposium, Tokyo.
  6. FEMA273 (1997), "NEHRP Guideline for the seismic rehabilitation of buildings", Federal Emergency Management Agency, Washington, DC.
  7. Giberson, M.F. (1967), "The response of nonlinear multi-story structures subjected to earthquake excitation", Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, CA, EERL Report.
  8. Giberson, M.F. (1969), "Two nonlinear beams with definitions of ductility", J. Struct. Div., 95(ST2), 137-57.
  9. Habibi, A.R, (2007), "Optimal seismic performance-based design of 2D RC frameworks", Ph.D. Thesis, Tarbiat Modares University, Tehran, Iran.
  10. Habibi, A.R. and Moharrami, H. (2010), "Nonlinear sensitivity analysis of reinforced concrete frames", Finite Elem. Anal. Des., 46, 571-584. https://doi.org/10.1016/j.finel.2010.02.005
  11. Hajjar, J.F., Molodan, A. and Schiller, P.H. (1998), "A distributed plasticity model for cyclic analysis of concrete-filled steel tube beam-columns and composite frames", Eng. Struct., 20(4-6), 398-412. https://doi.org/10.1016/S0141-0296(97)00020-5
  12. Hajjar, J.F., Schiller, P.H. and Molodan, A. (1998), "A distributed plasticity model for concrete filled steel tube beam-columns with interlayer slip", Eng. Struct., 20(8), 663-76. https://doi.org/10.1016/S0141-0296(97)00107-7
  13. He, R. and Zhong, H. (2012), "Large deflection elasto-plastic analysis of frames using the weak-form quadrature element method", Finite Elem. Anal. Des., 50, 125-133. https://doi.org/10.1016/j.finel.2011.09.003
  14. Kim, S.P. and Kurama, Y.C. (2008), "An alternative pushover analysis procedure to estimate seismic displacement demands", Eng. Struct., 30, 3793-3807. https://doi.org/10.1016/j.engstruct.2008.07.008
  15. Kucukler, M., Gardner, L. and Macorini, L. (2014), "A stiffness reduction method for the in-plane design of structural steel elements", Eng. Struct., 73, 72-84. https://doi.org/10.1016/j.engstruct.2014.05.001
  16. Kunnath, S.K. and Reinhorn, A.M. (1989), "Inelastic three-dimensional response analysis of reinforced concrete structures subjected to seismic loads", Technical Report No. NCEER-88-0041, University at Buffalo, The State University of New York.
  17. Nguyen, P.C. and Kim, S.E. (2014), "Distributed plasticity approach for time-history analysis of steel frames including nonlinear connections", J. Constr. Steel Res., 100, 36-49. https://doi.org/10.1016/j.jcsr.2014.04.012
  18. Otani S. (1980), "Nonlinear dynamic analysis of reinforced concrete building structures", Can. J. Civil Eng., 7(2), 333-44. https://doi.org/10.1139/l80-041
  19. Park, Y.J., Reinhorn, A.M. and Kunnath, S.K. (1987), "IDARC: Inelastic damage analysis of reinforced concrete frame-shear wall structures", Technical Report No. NCEER- 87-0008, University at Buffalo, The State University of New York.
  20. Powell, G.H. (l975), "Supplement to computer program DRAIN-2D", Supplement to report, DRAIN-2D user's guide, University of California, Berkeley, CA.
  21. Reinhorn, A.M., Roh, H., Sivaselvan, M., Kunnath, S.K., Valles, R.E., Madan, A., Li, C., Lobo, R. and Park, Y.J. (2009), "IDARC 2D Version 7.0: A Program for the Inelastic Damage Analysis of Structures", MCEER Technical Report, MCEER-09-0006, University at Buffalo-the State University of New York.
  22. Roh, H., Reinhorn, A.M. and Lee, J.S. (2012), "Powerspread plasticity model for inelastic analysis of reinforced concrete structures", Eng. Struct., 39, 148-161. https://doi.org/10.1016/j.engstruct.2012.01.019
  23. Takizawa, H. (1973), "Strong motion response analysis of reinforced concrete buildings", J. Jpn. Nat. Council Concrete, II(2), 10-21.
  24. Valles, R.E., Reinhorn, A.M., Kunnath, S.K., Li, C. and Madan, A. (1996), "IDARC2D Version 4.0 - a computer program for the inelastic drainage analysis of buildings", Technical Report No. NCEER-96-0010, University at Buffalo, The State University of New York.
  25. Wen, R.K. and Janssen, J.G. (1965), "Dynamic analysis of elasto-inelastic frames", Proceedings of 3rd World Conference on Earthquake Engineering, 713-29.

Cited by

  1. An Optimized Approach for Tracing Pre- and Post-Buckling Equilibrium Paths of Space Trusses pp.1793-6764, 2018, https://doi.org/10.1142/S0219455419500408
  2. New Spread Plasticity Model for Reinforced Concrete Structural Elements Accounting for Both Gravity and Lateral Load Effects vol.144, pp.5, 2018, https://doi.org/10.1061/(ASCE)ST.1943-541X.0002016
  3. Improving the linear flexibility distribution model to simultaneously account for gravity and lateral loads vol.20, pp.1, 2015, https://doi.org/10.12989/cac.2017.20.1.011
  4. Nonlinear analysis of reinforced concrete frame under lateral load vol.6, pp.4, 2017, https://doi.org/10.12989/csm.2017.6.4.523
  5. A dual approach to perform geometrically nonlinear analysis of plane truss structures vol.27, pp.1, 2018, https://doi.org/10.12989/scs.2018.27.1.013
  6. Evaluating the accuracy of a new nonlinear reinforced concrete beam-column element comprising joint flexibility vol.14, pp.6, 2018, https://doi.org/10.12989/eas.2018.14.6.525
  7. Studying the Park-Ang damage index of reinforced concrete structures based on equivalent sinusoidal waves vol.72, pp.1, 2015, https://doi.org/10.12989/sem.2019.72.1.083
  8. A new procedure for post-buckling analysis of plane trusses using genetic algorithm vol.40, pp.6, 2015, https://doi.org/10.12989/scs.2021.40.6.817