[1] Kaveh, A., and Nasrollahi, A. (2014), “A Performance-based seismic design of steel frames utilizing charged system search optimization”, Applied Soft Computing, 22, pp.213-222.
[2] Chen, W.F., and Lui, E.M. (2006), “Earthquake Engineering For Structural Design”, CRC Press.
[3] Pan, P., Ohsaki, M., and Kinoshita, T. (2007), “Constraint approach to performance-based design of steel moment-resisting frames”, Engineering Structures, 29(2), pp.186-194.
[4] Emami, F., and Bakhtiari-Moghadam, M. (2021), “Comparison of seismic behavior of chevron and suspended-zipper braced frames under near-fault ground motion”, Asian Journal of Civil Engineering, 22(6), pp.1131-1141.
[5] Yang, C.S. (2006), “Analytical and experimental study of concentrically braced frames with zipper struts”, PhD. Dissertation, Georgia Institute of Technology.
[6] Khatib, I.F., Mahin, S.A., and Pister, K.S. (1988), “Seismic behavior of concentrically braced steel frames”, Berkeley, CA, USA, UCB/EERC‐88/01: Earthquake Engineering Research Center, University of California.
[7] Tremblay, R. and Tirca L. (2003), “Behavior of design of multi-story zipper concentrically braced steel frames for the mitigation of soft-story response”, Proceedings of 4th International Conference on Behavior of Steel Structures in Seismic Areas, Naples.
[8] Merczel, D.B., Somja, H., Aribert, J.M., and Lógó, J. (2013), “On the behaviour of concentrically braced frames subjected to seismic loading”, Periodica Polytechnica Civil Engineering, 57(2), pp.113-122.
[9] Merczel, D.B., Somja, H., Aribert, J.M., Hjiaj, M., and Logo, J. (2014), “On the weak storey behaviour of concentrically braced steel frames”, In Eurodyn.
[10] Gholizadeh, S., and Poorhoseini, H. (2016), “Seismic layout optimization of steel braced frames by an improved dolphin echolocation algorithm”, Structural and Multidisciplinary Optimization, 54(4), pp.1011-1029.
[11] Gholizadeh, S., and Ebadijalal, M. (2018), “Performance based discrete topology optimization of steel braced frames by a new metaheuristic”, Advances in Engineering Software, 123, pp.77–92.
[12] Farzad, K., and Gholizadeh, S. (2022), “Seismic Performance-Based Layout Optimization of Outrigger System using Modified Dolphin Echolocation algorithm for Steel Tall Buildings”, Journal of Structural and Construction Engineering, 8, pp.122-143.
[13] Kaveh, A., and Farhoudi, N. (2011), “A unified approach to parameter selection in meta-heuristic algorithms for layout optimization”, Journal of Constructional Steel Research, 67, pp.1453–1462.
[14] Hagishita, T., and Ohsaki, M. (2008), “Optimal placement of braces for steel frames with semi-rigid joints by scatter search”, Computers and Structures, 86, pp.1983–1993.
[15] Kameshki, E.S., and Saka, M.P. (2001), “Genetic algorithm based optimum bracing design of non-swaying tall plane frames”, Journal of Constructional Steel Research, 57, pp.1081–1097.
[16] Yang, C.S., Leon, R.T., and DesRoches, R. (2008), “Design and behavior of zipper-braced frames”, Engineering Structures, 30(4), pp.1092-1100.
[17] Ozcelik, Y., Saritas, A., and Clayton, P.M. (2016), “Comparison of chevron and suspended-zipper braced steel frames”, Journal of Constructional Steel Research, 119, pp.169-175.
[18] Tirca, L., and Chen, L. (2012), “The influence of lateral load patterns on the seismic design of zipper braced frames”, Engineering Structures, 40, pp.536-555.
[19] Zahrai, S.M., Pirdavari, M., and Farahani, H.M. (2013), “Evaluation of hysteretic behavior of eccentrically braced frames with zipper-strut upgrade”, Journal of Constructional Steel Research, 83, pp.10-20.
[20] Kaveh, A., and Farhoudi, N. (2013), “A new optimization method: Dolphin echolocation”, Advances in Engineering Software, 59, pp.53–70.
[21] Daryan, A.S., Salari, M., Palizi, S., and Farhoudi, N. (2023), “Size and layout optimum design of frames with steel plate shear walls by metaheuristic optimization algorithms”, In Structures, 48, pp.657-668.
[22] Farshchin, M., Maniat, M., Camp, C.V., and Pezeshk, S. (2018), “School based optimization algorithm for design of steel frames”, Engineering Structures, 171, pp.326-335.
[23] Federal Emergency Management Agent, Report No. FEMA 356, (2000), Prestandard and commentary for the seismic rehabilitation of buildings, Washington D.C.
[24] Kaveh, A., Azar, B.F., Hadidi, A., Sorochi, F.R., and Talatahari, S. (2010), “Performance-based seismic design of steel frames using ant colony optimization”, Journal of Constructional Steel Research, 66(4), pp.566-574.
[25] Poursha, M., Khoshnoudian, F., and Moghadam, A.S. (2009), “A consecutive modal pushover procedure for estimating the seismic demands of tall buildings”, Engineering Structures, 31(2), pp.591-599.
[26] Kalkan, E., and Sashi, K. (2004), “Method of modal combination for pushover analysis of building”, 13th World Conference on Earthquake Engineering, Vancouver, B.C., Canada.
[27] Vamvatsikos, D., and Cornell, C.A. (2002), “Incremental dynamic analysis”, Earthquake Engineering and Structural Dynamics, 31(3), pp.491-514.
[28] Dhakal, R., Singh, S., and Mander J. (2007), “Efectiveness of earthquake selection and scaling method in New Zealand”, Bulletin of the New Zealand Society for Earthquake Engineering, 40, pp.989–1008.
[29] Ibrahim, Y.E., and El-Shami, M.M. (2011), “Seismic fragility curves for mid-rise reinforced concrete frames in Kingdom of Saudi Arabia”, The IES Journal Part A: Civil and Structural Engineering, 4(4), pp.213-223.
[30] ANSI/AISC 360-22, (2022), Specification for structural steel buildings, American Institute of Steel Construction.
[31] Uriz, P. (2008), “Toward earthquake-resistant design of concentrically braced steel-frame structures”, Pacific Earthquake Engineering Research Center.
[31] Mazzoni, S., McKenna, F., Scott, M., and Fenves G., (2007), “OPENSEES Command Language Manual”, University of California, Berkeley.
[32] MATLAB,. (2024), The Language of Technical Computing, Math Works Inc.