TY - JOUR ID - 1872 TI - Performance-based multi-objective optimal design of steel frame structures: nonlinear dynamic procedure JO - Scientia Iranica JA - SCI LA - en SN - 1026-3098 AU - Kaveh, A. AU - Fahimi-Farzam, M. AU - Kalateh-Ahani, M. AD - Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology, Narmak, Tehran, P.O. Box 16846-13114, Iran Y1 - 2015 PY - 2015 VL - 22 IS - 2 SP - 373 EP - 387 KW - performance-based design KW - nonlinear dynamic analysis KW - Steel frame structures KW - Seismic damage cost KW - Non-dominated sorting genetic algorithm KW - Generalized regression neural network KW - Fuzzy c-mean clustering KW - Wavelet analysis DO - N2 - The main problem in performance-based of structures is the extremely high computational demand of time-history analyses. In this paper, an efficient framework is developed for solving the performance-based multi-objective optimal design problem considering the initial cost and the seismic damage cost of steel moment-frame structures. The non-dominated sorting genetic algorithm (NSGA-II) is employed as the optimization algorithm to search the Pareto optimal solutions. For improving the time efficiency of the solution algorithm, the generalized regression neural network (GRNN) is utilized as the meta-model for fitness approximation and a specific evolution control scheme is developed. In this scheme, in order to determine which individuals should be evaluated using the original fitness function and which by the meta- model, the fuzzy c-mean (FCM) clustering algorithm is used to choose the competent individuals rather than choosing the individuals randomly. Moreover, the computational burden of time history analyses is decreased through a particular wavelet analysis procedure. The constraints of the optimization problem are considered in accordance with the FEMA codes. The results obtained from numerical application of the proposed framework demonstrate its capabilities in solving the present multi-objective optimization problem. UR - https://scientiairanica.sharif.edu/article_1872.html L1 - https://scientiairanica.sharif.edu/article_1872_16405c25f8da2a787e9d1ed5b5bcd181.pdf ER -