Structural Engineering and Mechanics

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Yield displacement profiles of asymmetric structures for optimum torsional response

  • Georgoussis, George K. (Department of Civil and Construction Engineering, School of Pedagogical and Technological Education (ASPETE))
  • Received : 2012.10.03
  • Accepted : 2012.12.15
  • Published : 2013.01.25
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Abstract

Given the yield shear of a single-story inelastic structure with simple eccentricity, the problem of strength distribution among the resisting elements is investigated, with respect to minimize its torsional response during a ground motion. Making the hypothesis that the peak accelerations, of both modes of vibration, are determined from the inelastic acceleration spectrum, and assuming further that a peak response quantity is obtained by an appropriate combination rule (square root of sum of squares-SRSS or complete quadratic combination-CQC), the first aim of this study is to present an interaction relationship between the yield shear and the maximum torque that may be developed in such systems. It is shown that this torque may be developed, with equal probability, in both directions (clockwise and anticlockwise), but as it is not concurrent with the yield shear, a rational design should be based on a combination of the yield shear with a fraction of the peak torque. The second aim is to examine the response of such model structures under characteristic ground motions. These models provide a rather small peak rotation and code provisions that are based on such principles (NBCC-1995, UBC-1994, EAK-2000, NZS-1992) are superiors to EC8 (1993) and to systems with a stiffness proportional strength distribution.

Keywords

References

  1. Anastassiadis, K., Athanatopoulou, A. and Makarios, T. (1998), "Equivalent static eccentricities in the simplified methods of seismic analysis of buildings", Earthquake Spectra, 14(1), 1-34. https://doi.org/10.1193/1.1585986
  2. Bozorgnia, Y. and Tso, W.K. (1986), "Inelastic earthquake response of asymmetric structures", J. Struct. Eng. ASCE, 112(2), 383-400. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:2(383)
  3. Chandler, A.M. and Duan, X.N. (1991), "Evaluation of factors influencing the inelastic seismic performance of torsionally asymmetric buildings", Earthquake Engng. Struct. Dyn., 20, 87-95. https://doi.org/10.1002/eqe.4290200107
  4. Chandler, A.M. and Duan, X.N. (1997), "Performance of asymmetric code-designed buildings for serviceability and ultimate limit states", Earthquake Engng. Struct. Dyn., 26, 717-735. https://doi.org/10.1002/(SICI)1096-9845(199707)26:7<717::AID-EQE672>3.0.CO;2-X
  5. Chandler, A.M., Duan, X.N. and Rutenberg, A. (1996), "Seismic torsional response: assumptions, controversies and research progress", European Earthquake Engineering, 1, 37-51.
  6. Chopra, A.K. (2007), Dynamics of Structures: Theory and Applications to Earthquake Engineering, 3rd edition, Prentice-Hall, N.J.
  7. Chopra, A.K. and Goel, R.K. (2002), "A modal pushover analysis procedure for estimating seismic demands for buildings", Earthquake Engng. Struct. Dyn., 31, 561-582. https://doi.org/10.1002/eqe.144
  8. Chopra, A.K. and Goel, R.K. (2004), "A modal pushover analysis procedure to estimate seismic demands for unsymmetric-plan buildings", Earthquake Eng. Struct. Dyn., 33, 903-927. https://doi.org/10.1002/eqe.380
  9. Correnza, J.C., Hutchinson, G.L. and Chandler, A.M. (1994), "Effect of transverse load-resisting elements on inelastic earthquake response of asymmetrical-plan buildings", Earthquake Eng. Struct. Dyn., 23, 75-89. https://doi.org/10.1002/eqe.4290230107
  10. De la Llera, J.C. and Chopra, A.K. (1995), "Understanding the inelastic seismic behaviour of asymmetricplan buildings", Earthquake Engng. Struct. Dyn., 24, 549-572. https://doi.org/10.1002/eqe.4290240407
  11. Dempsey, K.M. and Irvine, H.M. (1979), "Envelopes of maximum seismic response for a partially symmetric single story building model", Earthquake Eng. Struct. Dyn., 7, 161-180. https://doi.org/10.1002/eqe.4290070205
  12. Dempsey, K.M. and Tso, W.K. (1982), "An alternative path to seismic torsional provisions", Soil Dynamics and Earthquake Engineering, 1, 3-10. https://doi.org/10.1016/0261-7277(82)90008-0
  13. EAK (2000), Greek Aseismic Code, Greek Ministry of Environment, City Planning and Public Works, Greece.
  14. Eurocode EC8 (1993), Structures in Seismic Regions, Part 1, General and Building, Report EU1226EN, Brussels.
  15. Georgoussis, G.K. (2008), "Modal ductility factors of one-story inelastic structures with simple eccentricity", Structural Design of Tall and Special Buildings, 17(3), 635-653. https://doi.org/10.1002/tal.370
  16. Goel, R.K. and Chopra, A.K. (1990), "Inelastic seismic response of one-story, asymmetric-plan systems: effects of stiffness and strength distribution", Earthquake Engng. Struct. Dyn., 19, 949-970. https://doi.org/10.1002/eqe.4290190703
  17. Goel, R,K, and Chopra, A,K. (1991), "Inelastic seismic response of one-story, asymmetric-plan systems: effects of system parameters and yielding", Earthquake Eng. Struct. Dyn., 20, 201-222. https://doi.org/10.1002/eqe.4290200302
  18. Kan, C.L. and Chopra, A,K. (1977), "Effects of torsional coupling on earthquake forces in buildings", J. Struct. Div. ASCE, 103, 805-819.
  19. Kunnath, S.K. (2004), "Identification of modal combinations for nonlinear static analysis of building structures", Computer-Aided Civil and Infrastructure Engineering, 19, 246-259. https://doi.org/10.1111/j.1467-8667.2004.00352.x
  20. Myslimaj, B. and Tso, W.K. (2002), "A strength distribution criterion for minimizing torsional response of asymmetric wall-type systems", Earthquake Eng. Struct. Dyn., 31, 99-120. https://doi.org/10.1002/eqe.100
  21. Myslimaj, B. and Tso, W.K. (2004), "Desirable strength distribution for asymmetric structures with strength-stiffness dependent elements", Journal of Earthquake Engineering, 8(2), 231-248.
  22. Myslimaj, B. and Tso, W.K. (2005a), "A design-oriented approach to strength distribution in single-story asymmetric systems with elements having strength dependent stiffness", Earthquake Spectra, 21(1), 197-212. https://doi.org/10.1193/1.1854152
  23. Myslimaj, B. and Tso, W.K. (2005b), Response to T. Paulay's Discussion of "A design-oriented approach to strength distribution in single-story asymmetric systems with elements having strength dependent stiffness", Earthquake Spectra, 21(3), 897-899. https://doi.org/10.1193/1.1985446
  24. National Building Code of Canada (1995), National research Council of Canada, Ottawa, Ontario.
  25. New Zealand Standard NZS 4203 (1992), Code of Practice for General Structural Design and Design Loadings for Buildings, Standards Association of New Zealand, Wellington, NZ.
  26. Newmark, N.M. and Riddell, R. (1979), "A statistical study of inelastic response spectra", Proc. 2nd U.S. National Conference on Earthquake Engineering, 495-504.
  27. Paulay, T. (1998), "A mechanism-based design strategy for the torsional seismic tesponse of ductile buildings", European Earthquake Engineering, 2, 33-48.
  28. Paulay, T. (2005), Discussion of "A design-oriented approach to strength distribution in single-story asymmetric systems with elements having strength dependent stiffness", Earthquake Spectra, 21(3), 893-895. https://doi.org/10.1193/1.1985444
  29. Priestley, M.J.N. (1993), "Myths and fallacies in earthquake engineering- conflicts between design and reality", Bulletin N. Zealand National Society for Earthquake Engineering, 26(3), 329-341.
  30. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2003), "Inelastic earthquake response of single-story asymmetric building: an assessment of simplified shear beam models", Earthquake Engng. Struct. Dyn., 32, 1813-1831. https://doi.org/10.1002/eqe.302
  31. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2005), "Inelastic torsion of multistory buildings under earthquake excitations", Earthquake Engng. Struct. Dyn., 34, 1449-1465. https://doi.org/10.1002/eqe.486
  32. Tso, W.K. and Bozorgnia, Y. (1986), "Effective eccentricity for inelastic seismic response of buildings", Earthquake Engng. Struct. Dyn., 14, 413-427. https://doi.org/10.1002/eqe.4290140308
  33. Tso, W.K. and Dempsey, K.M. (1980), "Seismic torsional provisions for dynamic eccentricity", Earthquake Engng. Struct. Dyn., 8, 275-289. https://doi.org/10.1002/eqe.4290080307
  34. Tso, W.K. and Myslimaj, B. (2003), "A yield displacement distribution-based approach for strength assignment to lateral force-resisting elements having strength dependent stiffness", Earthquake Eng. Struct. Dyn., 32, 2319-2351. https://doi.org/10.1002/eqe.328
  35. Tso, W.K. and Ying, H. (1990), "Additional seismic inelastic deformation caused by structural asymmetry", Earthquake Eng. Struct. Dyn., 19, 243-258. https://doi.org/10.1002/eqe.4290190208
  36. Tso, W.K. and Zhu, T.J. (1992), "Design of torsionally unbalanced structural systems based on code provisions I: ductility demand", Earthquake Eng. Struct. Dyn., 21, 609-627. https://doi.org/10.1002/eqe.4290210704
  37. Uniform Building Code (1994), International Conference of Building Officials, Whittier, California.
  38. Wong, C.M. and Tso, W.K. (1994), "Inelastic seismic response of torsionally unbalanced systems designed using elastic dynamic analysis", Earthquake Eng. Struct. Dyn., 23, 777-798. https://doi.org/10.1002/eqe.4290230707
  39. Zhu, T.J. and Tso W.K. (1992), "Design of torsionally unbalanced structural systems based on code provisions II: strength distribution", Earthquake Eng. Struct. Dyn., 21, 629-644. https://doi.org/10.1002/eqe.4290210705

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