Earthquakes and Structures

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Simplified finite element modelling of non uniform tall building structures comprising wall and frame assemblies including P-Δ effects

  • Belhadj, Abdesselem Hichem (Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Djellali Liabes) ;
  • Meftah, Sid Ahmed (Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Djellali Liabes)
  • Received : 2014.02.14
  • Accepted : 2014.07.05
  • Published : 2015.01.25
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Abstract

The current investigation has been conducted to examine the effect of gravity loads on the seismic responses of the doubly asymmetric, three-dimensional structures comprising walls and frames. The proposed model includes the P-${\Delta}$ effects induced by the building weight. Based on the variational approach, a 3D finite element with two nodes and six DOF per node including P-${\Delta}$ effects is formulated. Dynamic and static governing equations are derived for dynamic and buckling analyzes of buildings braced by wall-frame systems. The influences of P-${\Delta}$ effects and height of the building on tip displacements under Hachinohe earthquake record are investigated through many structural examples.

Keywords

References

  1. Adam, C. and Jager, C. (2013), "Simplified collapse capacity of earthquake excited regular frame structures vulnerable to P-delta", Eng. Struct., 44, 159-173.
  2. American Society of Civil Engineering (2005), "Minimum design loads for buildings and other structures", ASCE/SEI 7-05.
  3. Andrews, A.L. (1977), "Slenderness effects in earthquake engineering frames", B. NZ Natl. Soc. Earthq. Eng., 10, 154-158.
  4. Balendra, T., Chan, W.T. and Lee, S.L. (1983), "Vibration of asymmetric building-foundation systems", J. Mech. Eng., 109, 430-449. https://doi.org/10.1061/(ASCE)0733-9399(1983)109:2(430)
  5. Bathe, K.J. (1996), Finite Element Procedures, Prentice-Hall, Inc, New Jersey.
  6. Black, E.F. (2011), "Use of stability coefficients for evaluating the P-Δ effect in regular steel moment resisting frames", Eng. Struct., 33, 1205-1216. https://doi.org/10.1016/j.engstruct.2010.12.042
  7. Carr, A.J. and Moss, P.J. (1980), "The effects of large displacements on the earthquake response of tall concrete frame structures", B. NZ Natl. Soc. Earthq. Eng., 13(4), 317-328.
  8. Chopra, A.K. (2000), Dynamic of structures theory and applications to earthquake engineering, Prentice Halle, New Jersey.
  9. Eorocode 8 (2003), "Design of structures for earthquake resistance", European committee for standardisation.
  10. Goel, S.C. (1969), "P-${\delta}$ and axial column deformation in a seismic frames", J. Struct. Div., 95, 1693-711.
  11. Hoenderkamp, J.C.D. (2001), "Elastic analysis of asymmetric tall building structures", Struct. Des. Tall Build., 10, 245-261. https://doi.org/10.1002/tal.183
  12. Hoenderkamp, J.C.D. (2002), "Simplified analysis of asymmetric High-rise structures with cores", Struct. Des. Tall Build., 11, 93-107. https://doi.org/10.1002/tal.192
  13. Jennings, P.C. and Husid, R. (1968), "Collapse of yielding structures during earthquakes", J. Eng. Mech. Div., 94, 1045-1065.
  14. Kuang, J.S. and NG, S.C. (2004), "Coupled vibration of tall building structures", Struct. Des. Tall Spec. Build., 13, 291-303. https://doi.org/10.1002/tal.253
  15. Meftah, S.A., Tounsi, A. and Adda Bedia, A. (2007), "A simplified approach for seismic calculation of a tall building braced by shear walls and thin-walled open section structures", Eng. Struct., 29, 2579-2585.
  16. Meftah, S.A. and Tounsi, A. (2008), "Vibration characteristics of tall buildings braced by shear walls and thin-walled open section structures", Struct. Des. Tall Spec. Build., 17, 203-216. https://doi.org/10.1002/tal.346
  17. Newmark, N.M. (1959), "A method of computation for structural dynamics", J. Eng. Mech. Div., 85, 67-94.
  18. Paulay, T. (1978), "A consideration of P-delta effects in ductile reinforced concrete frames", B. NZ Natl. Soc. Earthq. Eng., 11(3), 151-160.
  19. Quanfeng, W., Lingyun, W. and Qiangsheng, L. (1999), "Seismic response of stepped frame-shear wall structures by using numerical method", Comput. Method. Appl. M. Eng., 173, 31-39. https://doi.org/10.1016/S0045-7825(98)00253-9
  20. Rafezy, B. and Howson, W.P. (2008), "Vibration analysis of doubly asymmetric, three dimensional structures comprising wall and frame assemblies with variable cross-section", J. Sound Vib., 318, 247-266. https://doi.org/10.1016/j.jsv.2008.04.018
  21. Rafezy, B. and Howson, W.P. (2009), "Coupled lateral-torsion frequencies of asymmetric, three-dimensional structures comprising shear-wall and core assemblies with stepwise", Eng. Struct., 31, 1903-1915. https://doi.org/10.1016/j.engstruct.2009.01.024
  22. Ruge, A.C. (1934), "The determination of earthquake stresses in elastic structures by means of models", B. Seismol. Soc. Am., 24.
  23. Rutenberg, A. and Heidebrecht, A.C. (1975), "Approximate analysis of asymmetric wall-frame structures", Building Science., 10, 27-35. https://doi.org/10.1016/0007-3628(75)90005-5
  24. Rutenberg, A., Tso, W.K. and Heidebrecht, A.C. (1977), "Dynamic properties of asymmetric wall-frame structures", Earthq. Eng. Struct. D., 5, 41-51. https://doi.org/10.1002/eqe.4290050104
  25. Sivakumaran, K.S. and Balandra, T. (1994), "Seismic analysis of asymmetric multistorey buildings including foundation interaction and P-${\Delta}$ effects", Eng. Struct., 16, 609-624. https://doi.org/10.1016/0141-0296(94)90047-7
  26. Tarjan, G. and Kollar, P.L. (2004), "Approximate analysis of building structures with identical stories subjected to earthquakes", Int. J. S. Struct., 41, 1411-1433. https://doi.org/10.1016/j.ijsolstr.2003.10.021
  27. Tjondro, J.A., Moss, P.J. and Carr, J. (1992), "Seismic P-${\delta}$ effects in medium height moment resisting steel frames", Eng. Struct., 14(2), 75-90. https://doi.org/10.1016/0141-0296(92)90034-N
  28. Welch, P.D. (1967), "The use of fast Fournier transform for the estimation of power spectra; a method based on time averaging aver short modified periodograms", IEEE. T. Audio Electroacoust., 15(2), 70-703. https://doi.org/10.1109/TAU.1967.1161901
  29. Zalka, K.A. (2001), "A simplified method for the calculation of the natural frequencies of wall-frame buildings", Eng. Struct., 23(12), 1544-1555 https://doi.org/10.1016/S0141-0296(01)00053-0
  30. Zalka, K.A. (2003), "A hand method for predicting the stability for regular buildings, using frequency measurements", Struct. Des. Tall Build., 12, 273-281. https://doi.org/10.1002/tal.221

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