Controlled rocking concentrically steel braced frame (CR-CSBF) is an earthquake-resisting system that is effectively capable of reducing structural damage after earthquakes and causes resilience in the structure. Post-tensioning (PT) strands and fuse members are two important elements in CR-CBSFs to provide frame self-centering and energy dissipation, respectively. This study firstly purposes to evaluate the nonlinear response history analysis with five different relative-span ratios (A/B = 1.5, 2.0, 2.5, 3.0, 3.5). Various amounts of four parameters consist of the yield strength and modulus of elasticity of the fuse, the initial force of the PT cable, and the gravity load on the rocking column are also considered as design valuable factors in the analysis. Additionally, it is considered to involve the influence of frame height with 3-, 6- and 9-story and earthquake different characteristics. The second aim of the study is to investigate about optimizing the seismic response of CR-CSBFs, in order to determine the optimal A/B for each height of structures. In addition to previous valuable research, this study has taken a more innovational approach and aims to complement them. A statistical multi-objective optimization methodology is used to distinguish the design of the spanning ratio required to minimize the peak story drift ratio (PSD), peak roof displacement (PRD), peak roof acceleration (PRA) and peak base shear (PBS), which are considered seismic response demand factors. The results demonstrate that the optimal relative-span ratio or A/B for the three-story controlled rocking concentrically steel braced dual-frame is equal to 1.5, and for the six- and nine-story frames is equal to 3.5.

控制摇摆同心钢支撑框架（CR-CSBF）是一种抗震系统，能够有效地减少地震后的结构破坏并在结构中产生弹性。后张紧（PT）股线和熔断器构件是CR-CBSF中的两个重要元素，分别提供框架自对中和能量消散。本研究首先旨在评估具有五个不同相对跨度比（A / B = 1.5、2.0、2.5、3.0、3.5）的非线性响应历史分析。四个参数的各种量，包括保险丝的屈服强度和弹性模量，PT电缆的初始力以及摇杆上的重力载荷，也被认为是分析中的设计有价值的因素。另外，考虑到框架高度对3-的影响，6层和9层与地震的特征不同。研究的第二个目的是研究优化CR-CSBF的地震响应，以确定每种结构高度的最佳A / B。除了以前的有价值的研究之外，本研究还采用了更具创新性的方法，旨在对其进行补充。使用统计多目标优化方法来区分最小化峰值故事漂移率（PSD），峰值屋顶位移（PRD），峰值屋顶加速度（PRA）和峰值基础剪力（PBS）所需的跨度比设计，被认为是地震响应需求因素。结果表明，三层控制摇摆同心钢支撑双框架的最佳相对跨度比或A / B等于1.5，