DOI QR코드

DOI QR Code

Non linear seismic response of a low reinforced concrete structure : modeling by multilayered finite shell elements

  • Semblat, J.F. (Laboratoire Central des Ponts et Chaussees (LCPC), Eng. Modeling Department) ;
  • Aouameur, A. (Dassault Data Services, Formerly at Laboratoire Central des Ponts et Chaussees (LCPC)) ;
  • Ulm, F.J. (Massachusetts Institute of Technology)
  • 투고 : 2003.10.29
  • 심사 : 2004.03.10
  • 발행 : 2004.08.25

초록

The main purpose of this paper is the numerical analysis of the non-linear seismic response of a RC building mock-up. The mock-up is subjected to different synthetic horizontal seismic excitations. The numerical approach is based on a 3D-model involving multilayered shell elements. These elements are composed of several single-layer membranes with various eccentricities. Bending effects are included through these eccentricities. Basic equations are first written for a single membrane element with its own eccentricity and then generalised to the multilayered shell element by superposition. The multilayered shell is considered as a classical shell element : all information about non-linear constitutive relations are investigated at the local scale of each layer, whereas balance and kinematics are checked afterwards at global scale. The non-linear dynamic response of the building is computed with Newmark algorithm. The numerical dynamic results (blind simulations) are considered in the linear and non linear cases and compared with experimental results from shaking table tests. Multilayered shell elements are found to be a promising tool for predictive computations of RC structures behaviour under 3D seismic loadings. This study was part of the CAMUS International Benchmark.

키워드

참고문헌

  1. Aouameur, A. (1998), "Non linear material and geometrical analysis of RC shell structures under static and dynamic loadings (in French)", Ph.D. thesis, ENPC, Paris.
  2. Aouameur, A., Ulm, F.J., Humbert, P. and Semblat, J.F. (1999), "Non linear structural analysis by multilayered shell elements (in French)", Revue Française de Génie Civil, 3(5), 219-238. https://doi.org/10.1080/12795119.1999.9692251
  3. Aubry, D. and Modaressi, H. (1992), "Seismic wave propagation in soils including non-linear and pore pressure effects", Recent Advances in Earthq. Eng. Struct. Dyn., V. Davidovici ed., 209-224.
  4. Bard, P.Y. and Bouchon, M. (1985), "The two-dimensional resonance of sediment-filled valleys", Bull. Seismological Society of America, 75(2), 519-541.
  5. Bisch, P., Langeoire, A., Prat, M. and Semblat, J.F. (1999), Structures in Interaction (Finite elements in civil engineering), Chap.7 : Modelling of structures in seismic areas - wave propagation, Hermes ed., 467-562.
  6. CEA (1997), Mock-up and Loading Characteristics. Specifications for the Participants Report, 'Camus' International Benchmark.
  7. CEA (1998), Synthesis of the Participants Reports, 'Camus' International Workshop, 11th European Conference on Earthquake Engineering, Paris, Balkema ed.
  8. Chopra, A.K. and Goel, R.K. (2002), "A modal pushover analysis procedure for estimating seismic demands for buildings", Earthq. Eng. Struct. Dyn., 31, 561-582. https://doi.org/10.1002/eqe.144
  9. Clough, R.W. and Penzien, J. (1993), Dynamics of Structures, Mc Graw-Hill.
  10. De Borst, R. (1991), "The zero-normal-stress condition in plane-stress and shell elastoplasticity", Communication in Applied Numerical Methods, 7, 29-33. https://doi.org/10.1002/cnm.1630070105
  11. Fajfar, P. (2000), "A nonlinear analysis method for performance-based seismic design", Earthquake Spectra, 16(9), 573-592. https://doi.org/10.1193/1.1586128
  12. Garnier, J. and Pecker, A. (1999), "Use of centrifuge tests for the validation of innovative concepts in foundation engineering", 2nd Int. Conf. on Earthquake Geotechnical Eng., 433-439, Lisbon.
  13. Gueguen, P., Bard, P.Y. and Semblat, J.F. (2000), "From soil-structure to site-city interaction", 12th World Conf. on Earthq. Eng., Auckland, New Zealand.
  14. Humbert, P. (1989), "CESAR-LCPC : a general finite element code (in French)", Bulletin des Laboratoires des Ponts & Chaussees, 160, 112-115.
  15. Igusa, T., Der Kiurehian, A. and Sackman, J.L. (1984), "Modal decomposition method for stationary response of non-classically damped systems", Earthq. Eng. Struct. Dyn., 12, 121-136. https://doi.org/10.1002/eqe.4290120109
  16. Ile, N., Reynouard, J.M. and Merabet, O. (1998), "Seismic behaviour of slightly reinforced shear wall structures", 11th European Conf. on Earthq. Eng., Paris, Balkema ed.
  17. Lin, C.S. and Scordelis, A.C. (1975), "Nonlinear analysis of RC shells of general form", J. Struct. Div., ASCE, 101, 523-538.
  18. Luco, J.E. and Wong, H.L. (1986), "Response of a rigid foundation to a spatially random ground motion", Earthq. Eng. Struct. Dyn., 14, 891-908. https://doi.org/10.1002/eqe.4290140606
  19. Mazars, J. (1998), "French advanced research on structural walls : An overview on recent seismic programs", 11th European Conf. on Earthq. Eng., Paris.
  20. Mazars, J., Berthaud, Y. and Ramtani, S. (1990), "The unilateral behaviour of damaged concrete", Engineering Fracture Mechanics, 35(4/5), 629-635. https://doi.org/10.1016/0013-7944(90)90145-7
  21. Ortiz, M. and Simo, J.C. (1986), "An analysis of a new class of integration algorithms for elastoplastic constitutive relations", Int. J. Numer. Meth. Eng., 23, 353-366. https://doi.org/10.1002/nme.1620230303
  22. Pauley, T. and Priestley, M.J.N. (1992), Seismic Design of Reinforced Concrete and Masonry Buildings, Wiley.
  23. Polak, M.A. and Vecchio, F.J. (1993), "Nonlinear analysis of reinforced-concrete shells", J. Struct. Eng., 119(12), 3439-3462. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:12(3439)
  24. Queval, J.C., Combescure, D., Sollogoub, P., Coin, A. and Mazars, J. (1998), "CAMUS experimental program in-plane seismic tests of 1/3rd scaled R/C bearing walls", 11th European Conf. on Earthq. Eng., Paris.
  25. Ragueneau, F. and Mazars, J. (1998), "Damping and boundary conditions : two major points for the description of the seismic behaviour of R/C structures", 11th European Conf. on Earthq. Eng., Paris, Balkema ed.
  26. Seed, H.B., Wong, R.T., Idriss, I.M. and Tokimatsu, K. (1986), "Moduli and damping factors for dynamic analyses of cohesionless soils", J. Geotechnical Engineering, 112(11), 1016-1032. https://doi.org/10.1061/(ASCE)0733-9410(1986)112:11(1016)
  27. Semblat, J.F. (1997), "Rheological interpretation of Rayleigh damping", J. Sound Vib., 206(5), 741-744. https://doi.org/10.1006/jsvi.1997.1067
  28. Semblat, J.F. and Luong, M.P. (1998a), "Wave propagation through soils in centrifuge testing", J. Earthq. Eng., 2(1), 147-171. https://doi.org/10.1142/S1363246998000071
  29. Semblat, J-F, Aouameur, A., Mitani, H., Ulm, F.J. and Humbert, P. (1998b), CAMUS International Benchmark : Final Report, Lab. Central des Ponts et Chaussees, 61.
  30. Semblat, J.F., Aouameur, A., Ulm, F.J. and Mitani, H. (1999), "Seismic response of a building : the CAMUS project (in French)", Bulletin des Laboratoires des Ponts et Chaussees, 219, 53-67.
  31. Semblat, J.F., Duval, A.M. and Dangla, P. (2000), "Numerical analysis of seismic waves amplification in Nice (France) and comparisons with experiments", Soil Dyn. Earthq. Eng., 19(5), 347-362. https://doi.org/10.1016/S0267-7261(00)00016-6
  32. Semblat, J.F., Kham, M., Kurose, A., Xiao, H.H. and Dangla, P. (2002a), "Wave/cavity interaction : analytical and BEM approaches", 12th European Conf. on Earthq. Eng., London, 9-13 sept.
  33. Semblat, J.F., Guéguen, P., Kham, M. and Bard, P.Y. (2002b), "Site-city interaction at local and global scales", 12th European Conf. on Earthq. Eng., London, 9-13 sept.
  34. Sercombe, J., Ulm, F.J. and Toutlemonde, F. (1998), "Viscous hardening plasticity for concrete in high rate dynamics", J. Eng. Mech., ASCE, 124, 1050-1057. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:9(1050)
  35. Thomas, J.J., Luong, M.P. and Semblat, J.F. (1995), "Vibratory signature of electric pylons under impulse testing", Smart Structures and Materials : Smart Systems for Bridges, Structures and Highways (SPIE/ASME), San Diego, 2446, 258-267.
  36. Ulm, F.J. and Guggenberger, J.M. (1993a), "3D non-linear time-dependent analysis of RC and PC beams", 5th RILEM Int. Symposium on Creep and Shrinkage of Concrete, Bazant, Z.P. and Carol, I. eds, Chapman & Hall, London, 573-578.
  37. Ulm, F.J., Clement, J.L. and Argoul, P. (1993b), "Coefficient de comportement : approche chute de frequence", 3eme Colloque National en genie parasismique, Saint-Remy-les-Chevreuse, 49-56.
  38. Ulm, F.J. (1994), "Elastoplastic modelling including damage for structural concrete (in French)", Ph.D. thesis, ENPC, Paris.
  39. Willam, K.J. and Warnke, E.P. (1973), "Constitutive model for the triaxial behavior of concrete", International Association of Bridge and Structural Engineers, Seminar on Concrete Structures Subjected to Triaxial Stresses, paper III-1, Bergamo, Italy, IABSE Proc.19.

피인용 문헌

  1. Performance of fiber beam–column elements in the seismic analysis of a lightly reinforced shear wall vol.49, 2013, https://doi.org/10.1016/j.engstruct.2012.11.010
  2. Nonlinear dynamic analysis of reinforced concrete shell structures vol.34, pp.6, 2010, https://doi.org/10.12989/sem.2010.34.6.685