Abstract

The most important form of structural ductility, known as global ductility, depends on the base shear force and the displacement of the roof of the structure. If the global ductility of the structure can be calculated by local ductility, the volume of calculations will be significantly reduced. Therefore, it is logical to obtain an acceptable estimate of these two requirements using a simple method during the seismic design process of the building. In this paper, using a database consisting of 12,960 structural frames with 3, 6, 9, 12, 15 and 20 floors, 3 types of column stiffness and 3 degrees of bracing slenderness and using the advantages of Particle Swarm Optimization (PSO) and Simulated Annealing (SA) algorithms present an empirical relationship between global and local ductility. All models have been analyzed under 20 pulse-like near-fault earthquakes considering 4 different performance levels. The results of validation show 81.26% and 69.07% correlation of the proposed relationships from PSO and SA algorithms. Therefore, the coefficients obtained from the particle swarm algorithm were introduced as the final result to apply in the proposed relation the coefficient of behavior of divergently braced steel structures. A comparison of the structural deformation demands resulting from the proposed relationships and an analysis of time history, confirm the existence of an acceptable agreement.

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