References
- Akkar, S. and Metin, A. (2007), "Assessment of improved nonlinear static procedures in fema-440", J. Struct. Eng., 133(9), 1237-1246. http://doi.org/10.1061/(ASCE)0733-9445(2007)133:9(1237).
- Albanesi, T., Nuti, C. and Vanzi, I. (2000), "A simplified procedure to assess the seismic response of nonlinear structures", Earthq. Spectra, 16(4), 715-734. http://doi.org/10.1193/1.1586136.
- ASCE/SEI (2017), Seismic Evaluation and Retrofit of Existing Buildings, American Society of Civil Engineers, Reston, Virginia, U.S.A.
- ATC, A. (1996), "Seismic evaluation and retrofit of concrete buildings", report ATC-40; Applied Technology Council, Redwood City, California, U.S.A.
- Baber, T.T. and Noori, M.N. (1985), "Random vibration of degrading, pinching systems", J. Eng. Mech., 111(8), 1010-1026. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:8(1010).
- Bantilas, K.E., Kavvadias, I.E. and Vasiliadis, L.K. (2017), "Capacity spectrum method based on inelastic spectra for high viscous damped buildings", Earthq. Struct., 13(4), 337-351. http://doi.org/10.12989/eas.2017.13.4.337.
- Benazouz, C., Moussa, L. and Ali, Z. (2012), "Ductility and inelastic deformation demands of structures", Struct. Eng. Mech., 42(5), 631-644. http://doi.org/10.12989/sem.2012.42.5.631.
- Bergami, A.V., Forte, A., Lavorato, D. and Nuti, C. (2017), "Proposal of a incremental modal pushover analysis (IMPA)", Earthq. Struct., 13(6), 539-549. http://doi.org/10.12989/eas.2017.13.6.539.
- Bertero, V.V. (1995), "Tri-service manual methods, in VISION 2000", Part 2, Appendix J, Structural Engineers Association of California , Sacramento , California, U.S.A.
- Bhatt, C. and Bento, R. (2014), "The extended adaptive capacity spectrum method for the seismic assessment of plan-asymmetric buildings", Earthq. Spectra, 30(2), 683-703. https://doi.org/10.1193/022112EQS048M.
- Bouc, R. (1967), "Forced vibration of mechanical systems with hysteresis", Proceedings of the Fourth Conference on Non-linear Oscillation, Prague, Czechoslovakia.
- Casarotti, C. and Pinho, R. (2007), "An adaptive capacity spectrum method for assessment of bridges subjected to earthquake action", B. Earthq. Eng., 5(3), 377-390. https://doi.org/10.1007/s10518-007-9031-8.
- Chikh, B., Laouami, N., Mebarki, A., Leblouba, M., Mehani, Y., Kibboua, A. and Benouar, D. (2017), "Seismic structural demands and inelastic deformation ratios: Sensitivity analysis and simplified models", Earthq. Struct., 13(1), 59-66. https://doi.org/10.12989/eas.2017.13.1.059.
- Chikh, B., Mebarki, A., Laouami, N., Leblouba, M., Mehani, Y., Hadid, M., ... and Benouar, D. (2017), "Seismic structural demands and inelastic deformation ratios: A theoretical approach", Earthq. Struct. Int. J., 12(4), 397-407. https://doi.org/10.12989/eas.2017.12.4.397.
- Chikh, B., Mehani, Y. and Leblouba, M. (2016), "Simplified procedure for seismic demands assessment of structures", Struct. Eng. Mech., 59(3), 455-473. http://doi.org/10.12989/sem.2016.59.3.455.
- Chopra, A.K. and Goel, R.K. (1999a), "Capacity-demand-diagram methods based on inelastic design spectrum", Earthq. Spectra, 15(4), 637-656. https://doi.org/10.1193/1.1586065.
- Chopra, A.K. and Goel, R.K. (1999b), "Capacity-demand-diagram methods for estimating seismic deformation of inelastic structures: SDF systems" Report No. PEER1999/02; University of California, Berkeley, U.S.A.
- 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., 130(9), 1309-1319. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:9(1309).
- Chopra, A.K. and Goel, R.K. (2004), "A modal pushover analysis procedure to estimate seismic demands for unsymmetric-plan buildings", Earthq. Eng. Struct. D., 33(8), 903-927. https://doi.org/10.1002/eqe.380.
- Code, P. (2005), Eurocode 8: Design of structures for earthquake resistance-part 1: general rules, seismic actions and rules for buildings, European Committee for Standardization; Brussels, Belgium.
- Elnashai, A.S. (2001), "Advanced inelastic static (pushover) analysis for earthquake applications", Struct. Eng. Mech., 12(1), 51-70. http://doi.org/10.12989/sem.2001.12.1.051.
- 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.
- Fajfar, P. (1999), "Capacity spectrum method based on inelastic demand spectra", Earthq. Eng. Struct. Dyn., 28(9), 979-993. https://doi.org/10.1002/(SICI)1096-9845(199909)28:9<979::AID-EQE850>3.0.CO;2-1.
- FEMA (1997), NEHRP Guidelines for the Seismic Rehabilitation of Buildings, Rep. No. FEMA-273 (Guidelines) and Rep. No. FEMA-274 (Commentary), Washington, D.C, U.S.A.
- FEMA (2000), Prestandard and Commentary for the Seismic Rehabilitation of Buildings, Rep. No. FEMA-356, Washington, D.C, U.S.A.
- FEMA (2005), Improvement of Nonlinear Static Seismic Analysis Procedures, FEMA-440, Washington, D.C, U.S.A.
- Freeman, S.A. (1978), "Prediction of response of concrete buildings to severe earthquake motion", Special Publication, 55, 589-606.
- Freeman, S.A. Nicoletti, J.P. and Tyrell, J.V. (1975), "Evaluation of existing buildings for seismic risk-a case study of Puget Sound Naval Shipyard, Bremerton, Washington", Proceedings of 1st U.S. National Conference on Earthquake Engineering, Michigan, June.
- Gulkan, P. and Sozen, M. (1974), "Inelastic response of reinforced concrete structures to earthquake motions", ACI J., 71(12), 604-610.
- Gupta, B. and Kunnath, S.K. (1998), "Effect of hysteretic model parameters on inelastic seismic demands", Proceedings of the 6th US National Conference on Earthquake Engineering, Seattle, Washington, May.
- Gupta, B. and Kunnath, S.K. (2000). "Adaptive spectra-based pushover procedure for seismic evaluation of structures", Earthq. Spectra, 16(2), 367-391. https://doi.org/10.1193/1.1586117.
- Guyader, A. (2004). "A statistical approach to equivalent linearization with applications to performance-based engineering", Ph.D. Dissertation, California Institute of Technology Pasadena, California, U.S.A.
- Guyader, A. and Iwan, W.D. (2004), "User Guide for AutoCSM: Automated Capacity Spectrum Method of Analysis", Report No. EERL 2004-05; California Institute of Technology Pasadena, California, U.S.A.
- Guyader, A. and Iwan, W.D. (2006), "Determining equivalent linear parameters for use in a capacity spectrum method of analysis", J. Struct. Eng., 132(1), 59-67. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:1(59).
- 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.
- Italian Building Code (2008), Technical recommendations for buildings, Dubai Municipality; Rome, Italy.
- Iwan, W.D. and Gates, N.C. (1979), "The effective period and damping of a class of hysteretic structures." Earthq. Eng. Struct. D., 7(3), 199-211. https://doi.org/10.1002/eqe.4290070302.
- Iwan, W.D. (1980), "Estimating inelastic response spectra from elastic spectra", Earthq. Eng. Struct. D., 8(4), 375-388. https://doi.org/10.1002/eqe.4290080407.
- Iwan, W.D. and Guyader, A.C. (2001), "A study of the accuracy of the capacity spectrum method in engineering analysis", In Proc., 3rd US-Japan Workshop on Performace-Based Earthquake Engineering Methodology for Reinforced Concrete Building Structures, California, U.S.A, August.
- Iwan, W.D. and Guyader, A.C. (2002). "An improved equivalent linearization procedure for the capacity spectrum method", Pasadena, California, U.S.A.
- Jafari, M. and Soltani, M. (2018), "A stochastic adaptive pushover procedure for seismic assessment of buildings", Earthq. Struct., 14(5), 477-492. http://doi.org/10.12989/eas.2018.14.5.477.
- Kowalsky, M.J. (1994), "Displacement-based design-a methodology for seismic design applied to RC bridge columns", Master Thesis, University of California at San Diego, La Jolla, California.
- Krawinkler, H. (1995), "New trends in seismic design methodology", European Conference on Earthquake Engineering, Vienna, Austria, January.
- Lenza, P., Ghersi, A., Marino, E.M. and Pellecchia, M. (2017), "A multimodal adaptive evolution of the N1 method for assessment and design of RC framed structures", Earthq. Struct., 12(3), 271-284. http://doi.org/10.12989/eas.2017.12.3.271.
- Lin, Y.Y. and Chang, K.C. (2003), "A non-iterative direct displacement-based design procedure for SDOF steel columns: using substitute structure", J. Mech., 19(3), 357-364. https://doi.org/10.1017/S1727719100003208 .
- Lin, Y.Y. and Miranda, E. (2004), "Non-iterative capacity spectrum method based on equivalent linearization for estimating inelastic deformation demands of buildings", Doboku Gakkai Ronbunshu, 2004(773), 1-7. https://doi.org/10.2208/jscej.2004.773_1.
- Liu, G., Lian, J., Liang, C. and Zhao, M. (2016), "Structural response analysis in time and frequency domain considering both ductility and strain rate effects under uniform and multiple-support earthquake excitations", Earthq. Struct., 10(5), 989-1012. https://doi.org/10.12989/eas.2016.10.5.989.
- Mahin, S.A. and Lin, J. (1983), "Construction of inelastic response spectra for single-degree-of-freedom systems", Report No. UCB/EERC-83/17; Earthquake Engineering Center, University of California, Berkeley, U.S.A.
- Mechaala, A., Benazouz, C., Zedira, H., Mehani, Y. and Guezouli, S. (2019), "Higher modes contribution for estimating the inelastic deformation ratios and seismic demands of structures", J. Mech. Sci. Tech., 33(2), 591-601. https://doi.org/10.1007/s12206-019-0113-8.
- Miranda, E. (1993), "Evaluation of site-dependent inelastic seismic design spectra", J. Struct. Eng., 119(5), 1319-1338. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:5(1319).
- Newmark, N.M. and Hall, W. J. (1982), "Earthquake Spectra and Design", Earthquake Engineering Research Institute, Berkeley, U.S.A.
- Ruiz-Garcia, J. and Miranda, E. (2003), "Inelastic displacement ratios for evaluation of existing structures", Earthq. Eng. Struct. D., 32(8), 1237-1258. https://doi.org/10.1002/eqe.271.
- Ruiz-Garcia, J. and Miranda, E. (2006), "Inelastic displacement ratios for evaluation of structures built on soft soil sites", Earthq. Eng. Struct. D., 35(6), 679-694. https://doi.org/10.1002/eqe.552.
- Ruiz-Garcia, J. and Gonzalez, E.J. (2014), "Implementation of displacement coefficient method for seismic assessment of buildings built on soft soil sites", Engineering structures, 59, 1-12. https://doi.org/10.1016/j.engstruct.2013.10.017.
- Sanchez-Flores, F. and Igarashi, A. (2011), "Equivalent period and damping of SDOF systems for spectral response of the Japanese highway bridges code", Earthq. Struct., 2(4), 377-396. http://doi.org/10.12989/eas.2011.2.4.377.
- Shibata, A. and Sozen, M.A. (1976). "Substitute-structure method for seismic design in R/C", J. Struct. D., 102(1), 1-18. https://doi.org/10.1061/JSDEAG.0004250.
- Wen, Yi-Kwei (1976), "Method for random vibration of hysteretic systems", J. Eng. Mech. D., 102 (2), 249-263. https://doi.org/10.1061/JMCEA3.0002106.
- Yaghmaei-Sabegh, S., Neekmanesh, S. and Lumantarna, E. (2014), "Nonlinear response estimates of RC frames using linear analysis of SDOF systems", Earthq. Eng. Struct. D., 43(5), 769-790. https://doi.org/10.1002/eqe.2371.
- Yazdani, A. and Salimi, M.R. (2015), "Earthquake response spectra estimation of bilinear hysteretic systems using random-vibration theory method", Earthq. Struct., 8(5), 1055-1067. http://doi.org/10.12989/eas.2015.8.5.1055.
- Yaghmaei-Sabegh, S., Neekmanesh, S. and Ruiz-Garcia, J. (2017), "Evaluation of approximate methods for estimating maximum displacement response of MDOF systems", Soil Dyn. Earthq. Eng., 101, 125-136. https://doi.org/10.1016/j.soildyn.2017.07.020.
- Yaghmaei-Sabegh, S., Zafarvand, S. and Makaremi, S. (2018), "Evaluation of N2 method for damage estimation of MDOF systems", Earthq. Struct., 14(2), 155-165. http://doi.org/10.12989/eas.2018.14.2.155.
- Yaghmaei-Sabegh, S., Neekmanesh, S. and Ruiz-Garcia, J. (2019), "Evaluation of the coefficient method for estimation of maximum roof displacement demand of existing buildings subjected to near-fault ground motions", Soil Dyn. Earthq. Eng., 121, 276-280. https://doi.org/10.1016/j.soildyn.2019.03.015