Earthquakes and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Development of seismic collapse capacity spectra for structures with deteriorating properties

  • Shu, Zhan (Department of Structural Engineering, Tongji University) ;
  • Li, Shuang (Key Lab of Structures Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology) ;
  • Gao, Mengmeng (Key Lab of Structures Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology) ;
  • Yuan, Zhenwei (Key Lab of Structures Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology)
  • Received : 2016.08.07
  • Accepted : 2017.02.08
  • Published : 2017.03.25
⟨ Previous Next ⟩

Abstract

Evaluation on the sidesway seismic collapse capacity of the widely used low- and medium-height structures is meaningful. These structures with such type of collapse are recognized that behave as inelastic deteriorating single-degree-of-freedom (SDOF) systems. To incorporate the deteriorating effects, the hysteretic loop of the nonlinear SDOF structural model is represented by a tri-linear force-displacement relationship. The concept of collapse capacity spectra are adopted, where the incremental dynamic analysis is performed to check the collapse point and a normalized ground motion intensity measure corresponding to the collapse point is used to define the collapse capacity. With a large amount of earthquake ground motions, a systematic parameter study, i.e., the influences of various ground motion parameters (site condition, magnitude, distance to rupture, and near-fault effect) as well as various structural parameters (damping, ductility, degrading stiffness, pinching behavior, accumulated damage, unloading stiffness, and P-delta effect) on the structural collapse capacity has been performed. The analytical formulas for the collapse capacity spectra considering above influences have been presented so as to quickly predict the structural collapse capacities.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. Adam, C. and Jager, C. (2011), "Seismic induced global collapse of non-deteriorating frame structures", Computational Methods in Earthquake Engineering, eds., Papadrakakis, M., Fragiadakis, M. and Lagaros, N.D., Springer, Dordrecht, 21-40.
  2. Adam, C. and Jager, C. (2012), "Seismic collapse capacity of basic inelastic structures vulnerable to the P-delta effect", Earthq. Eng. Struct. Dyn., 41(4), 775-793. https://doi.org/10.1002/eqe.1157
  3. Alavi, B. and Krawinkler, H. (2004), "Behavior of momentresisting frame structures subjected to near-fault ground motions", Earthq. Eng. Struct. Dyn., 33(6), 687-706. https://doi.org/10.1002/eqe.369
  4. Amara, F., Bosco, M., Marino, E.M. and Rossi, P.P. (2014), "An accurate strength amplification factor for the design of SDOF systems with P-${\Delta}$ effects", Earthq. Eng. Struct. Dyn., 43(4), 589-611. https://doi.org/10.1002/eqe.2361
  5. Ayoub, A. and Chenouda, M. (2009), "Response spectra of degrading structural systems", Eng. Struct., 31(7), 1393-1402. https://doi.org/10.1016/j.engstruct.2009.02.006
  6. Baker, J.W. (2007), "Quantitative classification of near-fault ground motions using wavelet analysis", Bull. Seismol. Soc. Am., 97(5), 1486-1501. https://doi.org/10.1785/0120060255
  7. Borekci, M., Kircil, M.S. and Ekiz, I. (2014), "Collapse period of degrading SDOF systems", Earthq. Eng. Eng. Vib., 13(4), 681-694. https://doi.org/10.1007/s11803-014-0272-7
  8. Chopra, A.K. and Chintanapakdee, C. (2004), "Inelastic deformation ratios for design and evaluation of structures: Single-degree-of freedom bilinear systems", J. Struct. Eng., ASCE, 130(7), 1309-1319. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:9(1309)
  9. Dimakopoulou, V., Fragiadakis, M. and Spyrakos, C. (2013), "Influence of modeling parameters on the response of degrading systems to near-field ground motions", Eng. Struct., 53, 10-24. https://doi.org/10.1016/j.engstruct.2013.03.008
  10. Domizio M., Ambrosini D. and Curadelli O. (2015), "Experimental and numerical analysis to collapse of a framed structure subjected to seismic loading", Eng. Struct., 82, 22-32. https://doi.org/10.1016/j.engstruct.2014.10.022
  11. Esfahanian, A. and Aghakouchak, A.A. (2015), "On the improvement of inelastic displacement demands for near-fault ground motions considering various faulting mechanisms", Earthq. Struct., 9(3), 573-698.
  12. FEMA (2000), "Recommended seismic design criteria for new steel moment-frame buildings", Report # 350, SAC Joint Venture, Federal Emergency Management Agency, Washington, DC.
  13. Han, S.W., Ha, S.J., Moon, K.H. and Shin, M. (2014), "Improved capacity spectrum method with inelastic displacement ratio considering higher mode effects", Earthq. Struct., 7(4), 587-607. https://doi.org/10.12989/eas.2014.7.4.587
  14. Ibarra, L.F. and Krawinkler, H. (2011), "Variance of collapse capacity of SDOF systems under earthquake excitations", Earthq. Eng. Struct. Dyn., 40(12), 1299-1314. https://doi.org/10.1002/eqe.1089
  15. Jager, C. and Adam, C. (2013), "Influence of collapse definition and near-field effects on collapse capacity spectra", J. Earthq. Eng., 17(6), 859-878. https://doi.org/10.1080/13632469.2013.795842
  16. Katsanos, E.I. and Sextos, A.G. (2015), "Inelastic spectra to predict period elongation of structures under earthquake loading", Earthq. Eng. Struct. Dyn., 44(11), 1765-1782. https://doi.org/10.1002/eqe.2554
  17. Lavan, O., Sivaselvan, M.V., Reinhorn A.M. and Dargush G.F. (2009), "Progressive collapse analysis through strength degradation and fracture in the Mixed Lagrangian Formulation", Earthq. Eng. Struct. Dyn., 38(13), 1483-1504. https://doi.org/10.1002/eqe.914
  18. Libel, A.B., Haselton, C.B. and Deierlein G.G. (2011), "Seismic collapse safety of reinforced concrete buildings. II: Comparative assessment of nonductile and ductile moment frames", J. Struct. Eng., ASCE, 137(4), 492-502. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000275
  19. Li, S. and Xie, L.L. (2007), "Effects of hanging wall and forward directivity in the 1999 Chi-Chi earthquake on inelastic displacement response of structures", Earthq. Eng. Eng. Vib., 6(1), 77-84. https://doi.org/10.1007/s11803-007-0617-6
  20. Malhotra, P.K. (1999), "Response of buildings to near-field pulselike ground motions", Earthq. Eng. Struct. Dyn., 28(11), 1309-1326. https://doi.org/10.1002/(SICI)1096-9845(199911)28:11<1309::AID-EQE868>3.0.CO;2-U
  21. Miranda, E. and Akkar, S.D. (2003), "Dynamic instability of simple structural systems", J. Struct. Eng., ASCE, 129(12), 1722-1726. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:12(1722)
  22. OpenSees (2015), Open System for Earthquake Engineering Simulation; Pacific Earthquake Engineering Research Center, University of California, Berkeley. http://opensees.berkeley.edu/wiki/index.php/Hysteretic_Material.
  23. Rahgozar, N., Moghadam, A.S. and Aziminejad A. (2016), "Inelastic displacement ratios of fully self-centering controlled rocking systems subjected to near-source pulse-like ground motions", Eng. Struct., 108, 113-133. https://doi.org/10.1016/j.engstruct.2015.11.030
  24. Riddell, R., Garcia, J.E. and Garces, E. (2002), "Inelastic deformation response of SDOF systems subjected to earthquakes", Earthq. Eng. Struct. Dyn., 31(4), 515-538. https://doi.org/10.1002/eqe.142
  25. Shi, W., Lu, X.Z., Guan, H. and Ye, L.P. (2014), "Development of seismic collapse capacity spectra and parametric study", Adv. Struct. Eng., 17(9), 1241-1255. https://doi.org/10.1260/1369-4332.17.9.1241
  26. Sivaselvan, M.V. (2013), "Hysteretic models with stiffness and strength degradation in a mathematical programming format", Int. J. Non-Lin. Mech., 51, 10-27. https://doi.org/10.1016/j.ijnonlinmec.2012.12.004
  27. Sivaselvan, M.V. and Reinhorn, A.M. (2000), "Hysteretic models for deteriorating inelastic structures", J. Eng. Mech., ASCE, 126(6), 633-640. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:6(633)
  28. Thermou, G.E., Elnashai, A.S. and Pantazopoulou, S.J. (2012), "Retrofit Yield spectra - a practical device in seismic rehabilitation", Earthq. Struct., 3(2), 141-168. https://doi.org/10.12989/eas.2012.3.2.141
  29. Vamvatsikos, D. and Cornell C.A. (2002), "Incremental dynamic analysis", Earthq. Eng. Struct. Dyn., 31(3), 491-514. https://doi.org/10.1002/eqe.141
  30. Vian, D. and Bruneau, M. (2003), "Tests to structural collapse of single degree of freedom frames subjected to earthquake excitation", J. Struct. Eng., ASCE, 129(12), 1676-1685. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:12(1676)
  31. Villaverde, R. (2007), "Methods to assess the seismic collapse capacity of building structures: State of the art", J. Struct. Eng., ASCE, 133(1), 57-66. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:1(57)
  32. Williamson, E.B. (2003), "Evaluation of damage and P-${\Delta}$ effects for systems under earthquake excitation", J. Struct. Eng., ASCE, 129(8), 1036-1046. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:8(1036)
  33. Zareian, F. and Krawinkler, H. (2010), "Structural system parameter selection based on collapse potential of buildings in earthquakes", J. Struct. Eng., ASCE, 136(8), 933-943. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000196