Earthquakes and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Modified seismic analysis of multistory asymmetric elastic buildings and suggestions for minimizing the rotational response

  • Georgoussis, George K. (Department of Civil Engineering, School of Pedagogical and Technological Education (ASPETE))
  • Received : 2013.11.01
  • Accepted : 2014.03.03
  • Published : 2014.07.31
⟨ Previous Next ⟩

Abstract

A modified procedure is presented for assessing the seismic response of elastic non-proportionate multistory buildings. This procedure retains the simplicity of the methodology presented by the author in earlier papers, but it presents higher accuracy in buildings composed by very dissimilar types of bents. As a result, not only frequencies and peak values of base resultant forces are determined with higher accuracy, but also the location of the first mode center of rigidity (m1-CR). The closeness of m1-CR with the axis passing through the centers of floor masses (mass axis) implies a reduced rotational response and it is demonstrated that in elastic systemsa practically translational response is obtained when this point lies on the mass axis.Besides, when common types of buildings are detailed as planar structures under a code load, this response is maintained in the inelastic phase of their response as a result of the almost concurrent yielding of all the resisting bents. This property of m1-CR can be used by the practicing engineer as a guideline to form a structural configuration which will sustain minimum rotational response, simply by allocating the resisting elements in such a way that this point lies close to the mass axis. Inelastic multistory building structures, detailed as above, may be regarded as torsionally balanced multistory systems and this is demonstrated in eight story buildings, composed by dissimilar bents, under the ground motions of Kobe 1995 (component KJM000) and Friuli 1976 (component Tolmezzo E-W).

Keywords

References

  1. Athanatopoulou, A.M., Makarios, T. and Anastassiadis, K. (2006), "Earthquake analysis of isotropic asymmetric multistory buildings", Struct. Design Tall Spec. Build, 15, 417-443. https://doi.org/10.1002/tal.304
  2. Anagnostopoulos, S.A., Kyrkos, M.T. and Stathopoulos, K.G. (2013), "Earthquake induced torsion in buildings: Critical review and state of the art", The 2013 World Congress on Advances in Structural Engineering and Mechanics (ASEM13), Jeju, Korea, September 8-12.
  3. Aziminejad, A., Moghadam, A.S. and Tso, W.K. (2008), "A new methodology for designing multi-story asymmetric buildings", The 14th World Conference Earthquake Engineering, October 14-17, Beijing, China.
  4. Aziminejad A. and Moghadam, A.S. (2009), "Performance of asymmetric multistory buildings with different strength distributions", J. Appl. Sci., 9(6), 1082-1089. https://doi.org/10.3923/jas.2009.1082.1089
  5. Chandler, A.M., Duan, X.N. and Rutenberg, A. (1996), "Seismic torsional response: Assumptions, controversies and research progress", Euro. Earthq. Eng., 1, 37-51.
  6. Cheung, V.W. T. and Tso, W.K. (1986), "Eccentricity in irregular multistory buildings", Can. J. Civ. Eng., 13, 46-52. https://doi.org/10.1139/l86-007
  7. Correnza J.C., Hutchinnson G.L. and Chandler, A.M. (1994), "Effect of transverse load-resisting elements on inelastic earthquake response of eccentric-plan buildings", Earthq. Eng. Struct. Dyn., 23, 75-89. https://doi.org/10.1002/eqe.4290230107
  8. De Stefano, M. and Pintucchi, B. (2008), "A review of research on seismic behaviour of irregular building structures since 2002", Bull. Earthq. Eng., 6, 285-308. https://doi.org/10.1007/s10518-007-9052-3
  9. Ghersi, A. and Rossi, P.P. (2001), "Influence of bi-directional ground motions on the inelastic response of one-story in-plan irregular systems", Eng. Struct., 23, 579-591. https://doi.org/10.1016/S0141-0296(00)00088-2
  10. Georgoussis, G.K. (2006), "A simple model for assessing periods of vibration and modal response quantities in symmetrical buildings", Struct. Design Tall Spec. Build., 15(2), 139-151. https://doi.org/10.1002/tal.286
  11. Georgoussis, G.K. (2009), "An alternative approach for assessing eccentricities in asymmetric multistory structures", Struct. Design Tall Spec. Build., 18(2), 181-202. https://doi.org/10.1002/tal.401
  12. Georgoussis, G.K. (2010), "Modal rigidity center: Its use for assessing elastic torsion in asymmetric buildings", Earthq. Struct., 1(2), 163-175. https://doi.org/10.12989/eas.2010.1.2.163
  13. Georgoussis, G. (2012), "Seismic analysis of non-proportionate eccentric buildings", Adv. Mater. Res., 450- 451, 1482-1488.
  14. Georgoussis, G., Tsompanos, A., Makarios, T. and Papalou, A. (2013a), "Optimum structural configuration of irregular buildings. 1: Elastic Systems", The 2013 World Congress on Advances in Structural Engineering and Mechanics (ASEM13), Jeju, Korea, September 8-12.
  15. Georgoussis, G., Tsompanos, A., Makarios, T. and Papalou, A. (2013b), "Optimum structural configuration of irregular buildings. 2: Inelastic Systems", The 2013 World Congress on Advances in Structural Engineering and Mechanics (ASEM13), Jeju, Korea, September 8-12.
  16. Heidebrecht, A.C. and Stafford Smith, B. (1973), "Approximate analysis of tall wall-frame structures", J. Struct. Div. ASCE, 2, 169-183.
  17. Heidebrecht, A.C. (1975), Dynamic Analysis of Asymmetric Wall- Frame buildings, ASCE, National Structural Engineering Convention.
  18. Hejal, R. and Chopra, A.K. (1989), "Earthquake analysis of a class of torsionally-coupled buildings, Earthq. Eng. Struct. Dyn., 18, 305-323. https://doi.org/10.1002/eqe.4290180302
  19. Humar, J.L. (1984), "Design for seismic torsional forces", Can. J. Civil Eng. 12, 150-163.
  20. Jiang, W., Hutchinson, G.L. and Chandler, A.M. (1993), "Definitions of Static eccentricity for design of asymmetric shear buildings", Eng. Struct. 15(3), 167-178. https://doi.org/10.1016/0141-0296(93)90051-5
  21. Kan, C.L. and Chopra, A.K. (1977a), "Elastic earthquake analysis of torsionally coupled multistorey buildings", J. Struct. Div. ASCE., 103(4), 821-838.
  22. Kan, C.L. and Chopra, A.K. (1977b), "Elastic earthquake analysis of torsionally coupled multistorey buildings", Earthq. Eng. Struct. Dyn., 5, 395-412. https://doi.org/10.1002/eqe.4290050406
  23. Kan, C.L. and Chopra, A.K. (1981), "Torsional coupling and earthquake response of simple elastic and inelastic systems", J. Struct. Div. ASCE, 107(8), 1569-1588.
  24. Lucchini, A., Monti, D. and Kunnath, S. (2008), "A simplified pushover method for evaluating the seismic demand in asymmetric-plan multi-story buildings", The 14th World Conference Earthquake Engineering, Oct. 14-17, Beijing, China.
  25. Lucchini, A., Monti, D. and Kunnath, S. (2009), "Seismic behavior of single-story asymmetric-plan buildings under uniaxial excitation", Earthq. Eng. Struct. Dyn., 38, 1053-1070. https://doi.org/10.1002/eqe.881
  26. Makarios., T. (2008), "Practical calculation of the torsional stiffness radius of multistory tall buildings", Struct. Des. Tall Spec. Build., 17(1), 39-65. https://doi.org/10.1002/tal.316
  27. Makarios, T. (2005), "Optimum torsion axis to multistory buildings by using the continuous model of the structure, Struct. Desi.Tall Spec. Build., 14(1), 69-90. https://doi.org/10.1002/tal.262
  28. Makarios, T., Athanatopoulou, A. and Xenidis, H. (2006), "Numerical verification of properties of the fictitious elastic axis in asymmetric multistory buildings", Struct. Des. Tall Spec. Build., 15(3), 249-276. https://doi.org/10.1002/tal.294
  29. Makarios, T. and Anastassiadis, K. (1998a), "Real and fictitious elastic axis of multi-storey buildings: Theory", Struct. Des. Tall Build., 7(1), 33-45. https://doi.org/10.1002/(SICI)1099-1794(199803)7:1<33::AID-TAL95>3.0.CO;2-D
  30. Makarios, T. and Anastassiadis, K. (1998b), "Real and fictitious elastic axis of multi-storey buildings: applications", Struct. Des. Tall Build., 7(1), 57-71. https://doi.org/10.1002/(SICI)1099-1794(199803)7:1<57::AID-TAL96>3.0.CO;2-0
  31. Marino, E.M. and Rossi, P.P. (2004), "Exact evaluation of the location of the optimum torsion axis", Struct. Des. Tall Spec. Build., 13, 277-290. https://doi.org/10.1002/tal.252
  32. Myslimaj, B. and Tso, W.K. (2002), "A strength distribution criterion for minimizing torsional response of asymmetric wall-type systems", Earthq. Eng. Struct. Dyn., 31, 99-120. https://doi.org/10.1002/eqe.100
  33. Myslimaj, B. and Tso, W.K. (2004), "Desirable strength distribution for aymmetric structures with strengthstiffness dependent elements", J. Earthq.Eng., 8(2), 231-248.
  34. Newmark, N.M. and Rosenblueth, E. (1971), Fundamentals of Earthquake Engineering. Prentice-Hall
  35. Pool, R.A. (1977), "Analysis for torsion employing provisions of NZRS 4203:1974", Bull. N. Zealand Soc. Earthq. Eng., 10, 219-225.
  36. Smith, B.S. and Vezina, S. (1985), "Evaluation of centers of resistance in multistory building structures", ICE Proceedings, 79(4), 623-635. https://doi.org/10.1680/iicep.1985.761
  37. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2005), "Inelastic torsion of multistory buildings under earthquake excitations", Earthq. Eng. Struct. Dyn. 34, 1449-1465. https://doi.org/10.1002/eqe.486
  38. Wong, C.M. and Tso, W.K. (1994), "Inelastic seismic response of torsionally unbalanced systems designed using elastic dynamic analysis", Earthq. Eng. Struct. Dyn. 23, 777-798. https://doi.org/10.1002/eqe.4290230707

Cited by

  1. An approach for minimum rotational response of medium-rise asymmetric structures under seismic excitations vol.19, pp.3, 2016, https://doi.org/10.1177/1369433216630049
  2. Design aspects for minimizing the rotational behavior of setbacks buildings vol.10, pp.5, 2016, https://doi.org/10.12989/eas.2016.10.5.1049
  3. Preliminary Structural Design of Wall-Frame Systems for Optimum Torsional Response vol.11, pp.1, 2017, https://doi.org/10.1007/s40069-016-0183-2
  4. Design Principles for Minimum Torsional Response of Wall-Frame Concrete Structures 2017, https://doi.org/10.1080/13632469.2017.1360222
  5. Earthquake induced torsion in buildings: critical review and state of the art vol.8, pp.2, 2015, https://doi.org/10.12989/eas.2015.8.2.305
  6. A method for dynamic analysis of frame-hinged shear wall structures vol.11, pp.1, 2016, https://doi.org/10.12989/eas.2016.11.1.045
  7. Ratio of Torsion (ROT): An index for assessing the global induced torsion in plan irregular buildings vol.9, pp.1, 2015, https://doi.org/10.12989/eas.2015.9.1.145
  8. Approximate Seismic Analysis of Multi-story Buildings with Mass and Stiffness Irregularities vol.125, 2015, https://doi.org/10.1016/j.proeng.2015.11.147
  9. Evaluating contradictory relationship between floor rotation and torsional irregularity coefficient under varying orientations of ground motion vol.11, pp.6, 2016, https://doi.org/10.12989/eas.2016.11.6.1027
  10. Seismic Behavior of Horizontally Irregular Structures: Current Wisdom and Challenges Ahead vol.68, pp.6, 2016, https://doi.org/10.1115/1.4034725
  11. Yield Displacements of Wall-Frame Concrete Structures and Seismic Design Based on Code Performance Objectives pp.1559-808X, 2021, https://doi.org/10.1080/13632469.2018.1526141
  12. Locating optimum torsion axis in asymmetric buildings subjected to seismic excitation vol.171, pp.9, 2018, https://doi.org/10.1680/jstbu.17.00068
  13. Fibre Bragg grating sensor-based damage response monitoring of an asymmetric reinforced concrete shear wall structure subjected to progressive seismic loads vol.26, pp.3, 2018, https://doi.org/10.1002/stc.2307
  14. Dynamic eccentricities and the “capable near collapse centre of stiffness” of reinforced concrete single-storey buildings in pushover analysis vol.166, pp.None, 2014, https://doi.org/10.1016/j.engstruct.2018.03.056
  15. The effect of mass eccentricity on the torsional response of building structures vol.67, pp.6, 2018, https://doi.org/10.12989/sem.2018.67.6.671
  16. The effect of accidental eccentricities on the inelastic torsional response of buildings vol.75, pp.2, 2014, https://doi.org/10.12989/sem.2020.75.2.145
  17. Mitigating mass eccentricity effects on the rotational response of setbacks structures: An analytical solution for linear systems vol.28, pp.None, 2014, https://doi.org/10.1016/j.istruc.2020.09.062
  18. Experimental and numerical investigation on the complex behaviour of the localised seismic response in a multi-storey plan-asymmetric structure vol.17, pp.1, 2014, https://doi.org/10.1080/15732479.2020.1730914
  19. Torsional sensitivity criteria in seismic codes vol.21, pp.1, 2014, https://doi.org/10.12989/eas.2021.21.1.001