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.

基于性能的抗震设计的结构优化旨在找到对性能要求有约束的最小目标函数。在这项研究中，介绍了一种基于大爆炸-大紧缩（BB-BC）优化、和谐搜索（HS）算法、多设计变量配置（multi-DVC）级联优化和上限策略（UBS）的混合算法。这种新方案称为 MDVC-UIBB-BC，其中 BB-BC 用于全局优化，HS 算法处理变量约束。级联结构尺寸优化用于通过一系列 DVC 处理大量变量。此外，采用 UBS 来减少计算时间。由于优化过程的总计算时间可能非常大，进行非线性静态推覆分析以计算性能级别的结构响应。结果表明，MDVC-UIBB-BC 是优化结构工程问题的有力技术。