Optimum Performance-Based Design Of Unsymmetrical 2D Steel Moment Frame
Abstract The most commonly used analysis method in performance-based design (PBD) is the nonlinear static analysis (NSA). In unsymmetrical 2D frames, unlike its symmetrical state, NSA should be performed in two lateral loading directions, which complicates the process of achieving a feasible optimal design in addition to increasing the volume of calculations. In this study, a two-step approach is proposed for the design of unsymmetrical 2D steel moment-resisting frames (SMRF). In this approach, in two independent steps, the structure is analyzed with lateral loading pattern based on the first mode shape in positive and negative direction, respectively. The implementation of the second step is conditional on the satisfactory completion of the first step. The objective function takes into account the differences between successful and unsuccessful steps. The constraints considered are based on the acceptance criteria for SMRFs according to FEMA-356 at each performance level. The effectiveness of the proposed approach has been investigated by employing four meta-heuristic optimization algorithms to determine the optimum design for case studies of SMRF structures having three and nine stories.