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Structural optimization for performance-based seismic designs is aimed at finding a minimum objective function with constraints on performance requirements. In this research, a hybrid algorithm is introduced based on big bang–big crunch (BB-BC) optimization, harmony search (HS) algorithm, multi-design variable configuration (multi-DVC) cascade optimization and upper bound strategy (UBS). This new scheme is called MDVC-UIBB-BC, in which the BB-BC is applied for global optimization and the HS algorithm deals with the variable constraints. Cascade structural sizing optimization is utilized for handling a large number of variables via a series of DVCs. Furthermore, a UBS is employed to reduce the computational time. Since the overall computational time of the optimization process may be extremely large, a nonlinear static pushover analysis is conducted to compute structural responses at the performance levels. The results indicate that MDVC-UIBB-BC is a powerful technique to optimize structural engineering problems.

A new hybrid meta-heuristic algorithm for optimum performance-based seismic designs of moment-resisting frames