A. Maghsoudi-Barmi, A. Khansefid, Technical and economic evaluation of new damping and isolation seismic systems in urban projects, in: 6th National Conference on Applied Research in Civil Engineering, Architecture and Urban Management, Tehran, Iran (2019) (in Persian).
 G.C. Marano, R. Greco, Efficiency of base isolation systems in structural seismic protection and energetic assessment, Earthquake engineering & structural dynamics, 32(10) (2003).
 I.V. Kalpakidis, M.C. Constantinou, A.S. Whittaker, Modelling strength degradation in lead–rubber bearings under earthquake shaking, Earthquake engineering & structural dynamics, 39(13) (2010).
 S. Chimamphant, K. Kasai, Comparative response and performance of base‐isolated and fixed‐base structures, Earthquake Engineering & Structural Dynamics, 45(1) (2016).
 A. Kanyilmaz, C.A. Castiglioni, Reducing the seismic vulnerability of existing elevated silos by means of base isolation devices, Engineering Structures, 143 (2017).
 T.Y. Yang, H. Zhang, Seismic Safety Assessment of Base-Isolated Buildings Using Lead-Rubber Bearings, Earthquake Spectra, 35(3) (2019).
 A. Ali, N.A. Hayah, D. Kim, S.G. Cho, Probabilistic seismic assessment of base-isolated NPPs subjected to strong ground motions of Tohoku earthquake, Nuclear Engineering and Technology, 46(5) (2014).
 M. Kumar, A.S. Whittaker, R.P. Kennedy, J.J. Johnson, A. Kammerer, Seismic probabilistic risk assessment for seismically isolated safety-related nuclear facilities, Nuclear Engineering and Design, 313 (2017).
 C.C. Yu, C. Bolisetti, J.L. Coleman, B. Kosbab, A.S. Whittaker, Using seismic isolation to reduce risk and capital cost of safety-related nuclear structures, Nuclear Engineering and Design, 326, (2018).
 M. Cutfield, K. Ryan, Q. Ma, Comparative life cycle analysis of conventional and base-isolated buildings,. Earthquake Spectra, 32(1) (2016).
 K. Goda, C.S. Lee, H.P. Hong, Lifecycle cost–benefit analysis of isolated buildings. Structural Safety, 32(1) (2010).
 H. Wang, D. Weng, Life-Cycle Cost Assessment of Seismically Base-Isolated Large Tanks in LNG Plants, in: Pressure Vessels and Piping Conference (Vol. 55744, p. V008T08A005), American Society of Mechanical Engineers, USA.
 M. Mousazadeh, F. Pourreza, M.C. Basim, M.R. Chenaghlou, An efficient approach for LCC-based optimum design of lead-rubber base isolation system via FFD and analysis of variance (ANOVA), Bulletin of Earthquake Engineering, 18(4) (2020).
 A. Khansefid, A. Maghsoudi-Barmi, A. Bakhshi, Seismic performance assessment of optimally designed base isolation system under mainshock-aftershock sequences, In 8th International Conference on Seismology and Earthquake Engineering, Tehran, Iran (2019).
 C.H. Zhai, Z. Zheng, S. Li, X. Pan, Damage accumulation of a base-isolated RCC building under mainshock-aftershock seismic sequences, KSCE Journal of Civil Engineering, 21(1) (2017).
H.P. Lee, M.S. Cho, S. Kim, J.Y. Park, K.S. Jang, Experimental study on the compressive stress dependency of full scale low hardness lead rubber bearing, Structural Engineering and Mechanics, 50(1) (2014).
 I. Iervolino, M. Giorgio, E. Chioccarelli, Closed‐form aftershock reliability of damage‐cumulating elastic‐perfectly‐plastic systems, Earthquake engineering & structural dynamics, 43(4) (2014).
 I. Iervolino, M. Giorgio, E. Chioccarelli, Markovian modeling of seismic damage accumulation. Earthquake Engineering & Structural Dynamics, 45(3) (2016).
 I. Iervolino, E. Chioccarelli, A. Suzuki, Seismic damage accumulation in multiple mainshock–aftershock sequences, Earthquake Engineering & Structural Dynamics, 49(10) (2020).
 A. Khansefid, Lifetime risk-based seismic performance assessment of buildings equipped with supplemental damping and base isolation systems under probable mainshock-aftershock scenarios, Structures, 34 (2021).
 A. Khansefid, Probabilistic Optimization of Structures Equipped with Active Vibration Control Systems Under Probable Mainshock-Aftershock Sequences of the Iranian Plateau, PhD dissertation, Sharif University of Technology, Tehran, Iran (2018) (In Persian).
 Engineering optimization research group, Probabilistic Seismic Hazard Analysis of Iran, Tehran, Iran, Iranian Planning and Budget Organization, https://iranhazard.mporg.ir/ (2020).
 Structural Engineering Institute, ASCE_07-16: Minimum design loads for buildingsand other structures, Viriginia, USA: ASCE (2016).
 C. Christopoulos, A. Filiatrault, V.V. Bertero, Principles of passive supplemental damping and seismic isolation, : Iuss press, Pavia, Italy, (2006).
 E. Zitzler, M. Laumanns, S. Bleuler, A tutorial on evolutionary multiobjective optimization, Metaheuristics for multiobjective optimisation, (2004).
 M. Ismail, F. Ikhouane, J. Rodellar, The hysteresis Bouc-Wen model, a survey, Archives of computational methods in engineering, 16(2) (2009).
 A.K. Chopra, Dynamics of structures, Pearson Education, India, (2011).
 A. Khansefid, A. Bakhshi, New model for simulating random synthetic stochastic earthquake scenarios, Journal of Earthquake Engineering, (2019).
 L. Danciu, K. Sesetyan, M. Demircioglu, M., Erdik, D. Giardini, OpenQuake input files of the seismogenic source model of the 2014 earthquake model of the Middle East (EMME-Project), (2016), doi:10.12686/a3.
 T. Anagnos, A.S. Kiremidjian, A review of earthquake occurrence models for seismic hazard analysis, Probabilistic Engineering Mechanics, 3(1) (1988).
 T. Utsu, Y. Ogata, The centenary of the Omori formula for a decay law of aftershock activity, Journal of Physics of the Earth, 43(1) (1995).
 A. Khansefid, A. Bakhshi, Statistical evaluation and probabilistic modeling of aftershock sequences of Iranian plateau, Journal of Seismology, 22(5) (2018).
 A. Khansefid, A., Bakhshi, A. Ansari, Empirical predictive model for generating synthetic non-stationary stochastic accelerogram of the Iranian plateau: including far-and near-field effects as well as mainshock and aftershock categorization, Bulletin of Earthquake Engineering, 17(7) (2019).
 S. Rezaeian, A. Der Kiureghian, Simulation of orthogonal horizontal ground motion components for specified earthquake and site characteristics, Earthquake Engineering & Structural Dynamics, 41(2) (2012).
 M. Dabaghi, A. Der Kiureghian, Simulation of orthogonal horizontal components of near‐fault ground motion for specified earthquake source and site characteristics, Earthquake Engineering & Structural Dynamics, 47(6) (2018).
 A. Khansefid, Pulse-like ground motions: Statistical characteristics, and GMPE development for the Iranian Plateau, Soil Dynamics and Earthquake Engineering, 134 (2020).
 Federal Emergency Management Agency (FEMA), HAZUS-MH 2.1 Earthquake Model Technical Manual, Federal Emergency Management Agency, Washington, D.C., USA, (2013).
 Federal Emergency Management Agency, Seismic Performance Assessment of Buildings Volume 1 – Methodology Second Edition, FEMA P-58-1, Applied Technology Council, Washington D.C., USA, (2018).
 A. Khansefid, A. Bakhshi, Advanced two-step integrated optimization of actively controlled nonlinear structure under mainshock–aftershock sequences, Journal of Vibration and Control, 25(4) (2019).
 A. Khansefid, An investigation of the structural nonlinearity effects on the building seismic risk assessment under mainshock–aftershock sequences in Tehran metro city, Advances in Structural Engineering, 24(16) (2019) .
 Iranian Statistical Center, Iranian Statistical Yearbook 1395, Iranian Statistical Center (2017) (In Pearsian).
 Joint Committee of Structural Safety, Probabilistic model code: part III - resistance models, (2001), Available at:
 C. Robert, Casella G. Monte Carlo Statistical Methods. 2nd ed: Springer, (2004).
 G. Hahn, Sample Sizes for Monte Carlo Simulation, IEEE Transactions on Systems, Man, and Cybernetics SMC-2 (1972).
 K. Porter, A beginner’s guide to fragility, vulnerability, and risk, Encyclopedia of earthquake engineering, (2015).