DOI QR코드

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Evaluation of N2 method for damage estimation of MDOF systems

  • 투고 : 2017.07.10
  • 심사 : 2018.02.03
  • 발행 : 2018.02.25

초록

Methods based on nonlinear static analysis as simple tools could be used for the seismic analysis and assessment of structures. In the present study, capability of the N2 method as a well-known nonlinear analysis procedure examines for the estimation of the damage index of multi-storey reinforced concrete frames. In the implemented framework, equivalent single-degree-of-freedom (SDOF) models are utilized for the global damage estimation of multi-degree-of-freedom (MDOF) systems. This method does not require high computational analysis and subsequently decreases the required time of seismic design and assessment process. To develop the methodology, RC frames with period range from 0.4 to 2.0 s under 40 records are studied. The effectiveness of proposed technique is evaluated through numerical study under near- and far-field earthquake ground motions. Finally, the results of developed models are compared with two other simplified schemes along with nonlinear time history analysis results of multi-storey frames. To improve the accuracy of damage estimation, a modified relation is presented based on the N2 method results for near- and far-field earthquakes.

키워드

참고문헌

  1. ABA (2004), Management and Planning Organization of I.R. Iran, Technical Activities and Code Development Section, Iranian Concrete Code, Third Edition, MPOrg Press.
  2. Aghagholizadeh, M. and Massumi, A. (2016), "A new method to assess damage to RCMRFs from period elongation and Park-Ang damage index using IDA", Int. J. Adv. Struct. Eng., 8(3), 243-252. https://doi.org/10.1007/s40091-016-0127-8
  3. Akkar, S., Yazgan, U. and Gulkan, P. (2005), "Drift estimates in frame buildings subjected to near-fault ground motions", J. Struct. Eng., 131(7), 1014-1024. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:7(1014)
  4. Collins, K.R., Wen, Y.K. and Foutch, D.A. (1996), "Dual-level seismic design: a reliability-based methodology", Earthq. Eng. Struct. Dyn., 25(12), 1433-1467. https://doi.org/10.1002/(SICI)1096-9845(199612)25:12<1433::AID-EQE629>3.0.CO;2-M
  5. Dolsek, M. and Fajfar, P. (2005), "Simplified nonlinear seismic analysis of infilled reinforced concrete frames", Earthq. Eng. Struct. Dyn., 34, 49-66. https://doi.org/10.1002/eqe.411
  6. Eurocode 8 (2004), Design of Structures for Earthquake Resistance. Part 1: European Standard EN 1998-1, European Committee for Standardization, Brussels.
  7. Fajfar, P. (1992), "Equivalent ductility factors, taking into account low-cycle fatigue", Earthq. Eng. Struct. Dyn., 21, 837-848. https://doi.org/10.1002/eqe.4290211001
  8. Fajfar, P. (1999), "Capacity-spectrum method based on inelastic demand spectra", Earthq. Eng. Struct. Dyn., 28, 979-993. https://doi.org/10.1002/(SICI)1096-9845(199909)28:9<979::AID-EQE850>3.0.CO;2-1
  9. Fajfar, P. (2000), "A nonlinear analysis method for performance based seismic design", Earthq. Spectra, 16(3), 573-592. https://doi.org/10.1193/1.1586128
  10. Fajfar, P. (2002), "Structural analysis in earthquake engineering- A breakthrough of simplified non-linear methods", Proceedings of the 12th European Conference on Earthquake Engineering, September.
  11. Fajfar, P. and Fischinger, M. (1987), "Nonlinear seismic analysis of RC buildings: implications of a case study", Eur. Earthq. Eng., 1(1), 31-43.
  12. Fajfar, P. and Fischinger, M. (1988), "N2-A method for nonlinear seismic analysis of regular buildings", Proceedings of the 9th World Conference on Earthquake Engineering, Tokyo, Kyoto, 5, 111-116.
  13. Fajfar, P. and Gaspersic, P. (1996), "The N2 method for the seismic damage analysis of RC buildings", Earthq. Eng. Struct. Dyn., 25(1), 31-46. https://doi.org/10.1002/(SICI)1096-9845(199601)25:1<31::AID-EQE534>3.0.CO;2-V
  14. Fajfar, P., Marusic, D. and Perus, I. (2005a), "The extension of the N2 method to asymmetric buildings", Proceedings of the 4th European Workshop on the Seismic Behavior of Irregular and Complex Structures, No. 41.
  15. Fajfar, P., Marusic, D. and Perus, I. (2005b), "Torsional effects in the pushover-based seismic analysis of buildings", J. Earthq. Eng., 9, 831-854.
  16. FEMA-356 (2000), Prestandard and Commentary for the Seismic Rehabilitation of Buildings, Federal Emergency Management Agency, Washington, DC.
  17. Gaspersic, P., Fajfar, P. and Fischinger, M. (1992), "An approximate method for seismic damage analysis of buildings", Proceedings of the 10th World Conference on Earthquake Engineering, Madrid, 7, 3921-3926.
  18. Ghosh, S., Datta, D. and Katakdhond, A.A. (2011), "Estimation of Park-Ang damage index for planar multi-storey frames using equivalent single-degree systems", Eng. Struct., 33, 2509-2524. https://doi.org/10.1016/j.engstruct.2011.04.023
  19. Han, S.W. and Wen, Y.K. (1997), "Method of reliability-based seismic design. I: equivalent nonlinear systems", J. Struct. Eng., ASCE, 123(3), 256-263. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:3(256)
  20. ICC (2006), International building code (IBC), International Code Council, Whittier, CA, USA.
  21. Kilar, V. and Koren, D. (2010), "Simplified inelastic seismic analysis of base-isolated structures using the N2 method", Earthq. Eng. Struct. Dyn., 39(9), 967-989. https://doi.org/10.1002/eqe.978
  22. Koren, D. and Kilar, V. (2011), "The applicability of the N2 method to the estimation of torsional effects in asymmetric base-isolated buildings", Earthq. Eng. Struct. Dyn., 40(8), 867-886. https://doi.org/10.1002/eqe.1064
  23. Krawinkler, H. and Zohrei, M. (1983), "Cumulative damage in steel structures subjected to earthquake ground motions", Comput. Struct., 16, 531-541. https://doi.org/10.1016/0045-7949(83)90193-1
  24. Kreslin, M. and Fajfar, P. (2011), "The extended N2 method taking into account higher mode effects in elevation", Earthq. Eng. Struct. Dyn., 40, 1571-1589. https://doi.org/10.1002/eqe.1104
  25. Kreslin, M. and Fajfar, P. (2012), "The extended N2 method considering higher mode effects in both plan and elevation", Bull. Earthq. Eng., 10, 695-715. https://doi.org/10.1007/s10518-011-9319-6
  26. Krolo, P., Causevic, M. and Bulic, M. (2014), "The extended N2 method in seismic design of steel frames considering semi-rigid joints", Proceedings of the 2nd European Conference on Earthquake Engineering and Seismology, Istanbul.
  27. Kunnath, S.K. and Jenne, C. (1994), "Seismic damage assessment of inelastic RC structures", Proceedings of the 5th US National Conference on Earthquake Engineering, 1, 55-64.
  28. Kunnath, S.K., Reinhorn, A.M. and Lobo, R.F. (1992), "IDARC version 3.0: A program for the inelastic damage analysis of reinforced concrete structures", Technical Report NCEER-92-0022, National Center for Earthquake Engineering Research, State University of New York at Buffalo.
  29. Magliulo, G., Maddaloni, G. and Cosenza, E. (2012), "Extension of N2 method to plan irregular buildings considering accidental eccentricity", Soil Dyn. Earthq. Eng., 43, 69-84. https://doi.org/10.1016/j.soildyn.2012.07.032
  30. Mekki, M., Elachachi, S.M., Breysse, D., Nedjar, D. and Zoutat, M. (2014), "Soil-structure interaction effects on RC structures within a performance-based earthquake engineering framework", Eur. J. Environ. Civil Eng., 18(8), 945-962. https://doi.org/10.1080/19648189.2014.917056
  31. Menachery, D.D. and Manjula, N.K. (2014), "Application of extended N2 method to reinforced concrete frames with asymmetric setbacks", Int. J. Civil Eng. Tech. (IJCIET), 5(12), 143-154.
  32. Park, Y.J. and Ang, AH.S. (1985), "Mechanistic seismic damage model for reinforced concrete", J. Struct. Eng., ASCE, 111(4), 722-39. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(722)
  33. Park, Y.J., Ang, AH.S. and Wen, Y.K. (1987), "Damage-limiting aseismic design of buildings", Earthq Spectra, 3(1), 1-26. https://doi.org/10.1193/1.1585416
  34. Pazoki, M. and Tasnimi, A. A. (2015), "Assessment of the Park & Ang damage index for performance levels of RC moment resisting frames", Proceedings 7th International Conference on Seismology & Earthquake Engineering.
  35. Qi, X. and Moehle, J.P. (1991), "Displacement design approach to reinforced concrete structures subjected to earthquakes" Technical Report Berkeley No. 2; College of Earthquake Engineering, University of California.
  36. Reinhorn, A.M. (1997), "Inelastic analysis techniques in seismic evaluations", Eds. Fajfar, P. and Krawinkler, H., Seismic Design Methodologies for the Next Generation of Codes, Balkema, Rotterdam.
  37. Reinhorn, A.M., Roh, H., Sivaselvan, M., Kunnath, S.K., Valles, R.E., Madan, A., Li, C., Lobo, R. and Park, Y.J. (2009), "IDARC 2D Version 7.0: Program for the Inelastic Damage Analysis of Structures", Technical Report NCEER-09-006, National Center for Earthquake Engineering Research, State University of New York at Buffalo.
  38. Saiidi, M. and Sozen, M.A. (1981), "Simple nonlinear seismic analysis of R/C structures", J. Struct. Eng., ASCE, 107, 937-952.
  39. Seyedpoor, S.M., Shahbandeh, S. and Yazdanpanah, O. (2015), "An efficient method for structural damage detection using a differential evolution algorithm-based optimisation approach", Civil Eng. Environ. Syst., 32(3), 230-250. https://doi.org/10.1080/10286608.2015.1046051
  40. Shibata, A. and Sozen, M.A. (1976), "Substitute-structure method for seismic design in R/C", J. Struct. Div., ASCE, 102, 1-18.
  41. Standard No. 2800 (1999), Iranian Code of Practice for Seismic Resistant Design of Buildings, Building & Housing research Center, Iran.
  42. Tataie, L., Burn, M. and Reynouard, J.M. (2012), "Modal pushover procedures for seismic evaluation of reinforced concrete structures: using new nonlinear single degree of freedom systems", Eur. J. Environ. Civil Eng., 16(2), 178-203. https://doi.org/10.1080/19648189.2012.667207
  43. Wang, J.F., Lin, C.C. and Yen, S.M. (2007), "A story damage index of seismically-excited buildings based on modal frequency and mode shape", Eng. Struct., 29(9), 2143-2157. https://doi.org/10.1016/j.engstruct.2006.10.018
  44. Yaghmaei-Sabegh, S. and Makaremi, S. (2017), "Development of duration-dependent damage-based inelastic response spectra", Earthq. Eng. Struct. Dyn., 46(5), 771-789. https://doi.org/10.1002/eqe.2830
  45. Yaghmaei-Sabegh, S., Neekmanesh, S. and Lumantarna, E. (2014), "Nonlinear response estimates of RC frames using linear analysis of SDOF systems", Earthq. Eng. Struct. Dyn., 43(5), 769-790. https://doi.org/10.1002/eqe.2371