Abstract The present paper proposes the simultaneous optimization of the placement and parameters of rotational friction dampers (RFDs) for the seismic protection of a nonlinear steel moment-resisting frame (SMRF). In that respect, the placement and parameters of RFDs in the framework of an optimization problem is simultaneously optimized for a ten-story SMRF subjected to an artificial earthquake. In the optimization problem, the placement of RFDs and their frictional moment and the length of their vertical rigid beam are considered as the design variables, and the ratio of the maximum seismic input energy to the maximum cumulative dissipated energy by the RFDs is selected as the objective function. The mixed discrete-continuous optimization problem is solved by a hybrid of binary and real-coded modified particle swarm optimization (BRPSO). Furthermore, the effect of the number of RFDs is investigated on the seismic performance of the SMRF. The optimization results reveal that a significant portion of the input seismic energy is dissipated by the RFDs and at the same time reducing the amount of the cumulative hysteretic energy of the structure. Therefore, the seismic damage in the structure is significantly reduced. Furthermore, the appreciable reduction of the seismic responses of the structure is not observed by increasing the number of the RFDs. Finally, the results of the seismic assessment indicate that the optimized RFDs obtained for the artificial earthquake can guarantee the structure subjected to real earthquakes.

中文翻译：

---

抗震钢抗弯框架旋转摩擦阻尼器布置及参数同时优化

摘要 本文提出了同时优化旋转摩擦阻尼器 (RFD) 的位置和参数，用于非线性钢抗弯框架 (SMRF) 的抗震保护。在这方面，优化问题框架中 RFD 的位置和参数同时针对受人工地震影响的 10 层 SMRF 进行优化。在优化问题中，将RFD的放置位置及其摩擦力矩和垂直刚性梁的长度作为设计变量，选择最大地震输入能量与RFD最大累积耗散能量之比作为设计变量。目标函数。混合离散连续优化问题通过二进制和实数编码的改进粒子群优化 (BRPSO) 的混合解决。此外，研究了 RFD 数量对 SMRF 抗震性能的影响。优化结果表明，输入地震能量的很大一部分被 RFD 耗散，同时减少了结构的累积滞后能量。因此，结构中的地震破坏显着减少。此外，通过增加 RFD 的数量并没有观察到结构地震响应的明显降低。最后，地震评估结果表明，针对人工地震获得的优化RFDs可以保证结构经受真实地震。优化结果表明，输入地震能量的很大一部分被 RFD 耗散，同时减少了结构的累积滞后能量。因此，结构中的地震破坏显着减少。此外，通过增加 RFD 的数量并没有观察到结构地震响应的明显降低。最后，地震评估结果表明，针对人工地震获得的优化RFDs可以保证结构经受真实地震。优化结果表明，输入地震能量的很大一部分被 RFD 耗散，同时减少了结构的累积滞后能量。因此，结构中的地震破坏显着减少。此外，通过增加 RFD 的数量并没有观察到结构地震响应的明显降低。最后，地震评估结果表明，针对人工地震获得的优化RFDs可以保证结构经受真实地震。增加 RFD 的数量并没有观察到结构地震响应的明显减少。最后，地震评估结果表明，针对人工地震获得的优化RFDs可以保证结构经受真实地震。增加 RFD 的数量并没有观察到结构地震响应的明显减少。最后，地震评估结果表明，针对人工地震获得的优化 RFD 可以保证结构经受真实地震。