Perforated steel plate shear walls (PSPSWs) are requested for passing the equipment and creating the accessing spaces. Also, the studies showed the PSPSWs enhance the ductility. In this paper, topology optimization (TO) is used to introduce a new form of the PSPSW in the moment frames based on the strain energy as the objective function. The TO is conducted using the sensitivity analysis, SIMP method and method of moving asymptotes. Four amounts of aspect ratio (0.67, 1.0, 1.5 and 2.0) and three plate thicknesses (2 mm, 4 mm and 8 mm) are defined in the TO and their effects are considered in the results. For a comprehensive study, the results of TO are compared with the three usual forms of PSPSW with circular holes and a previous optimized model. The material volume is equal for the plates with the identical aspect ratio and plate thickness. The cyclic behavior of all the models is investigated and compared in terms of strength, energy dissipation and fracture tendency. The analytic hierarchy process (AHP) is applied to score and determine the best model and form. The AHP method illustrated that the optimized models have a better performance. The results of the AHP method show that the optimized model in this study obtained 22.07% of the score from 100%, while the scores of the prior optimized model and three traditional models are 20.67%, 19.36%, 19.06% and 18.84%, respectively.

中文翻译：

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基于应变能的弯矩框架多孔钢板剪力墙拓扑优化研究。

要求使用穿孔钢板剪力墙（PSPSW）来通过设备并创建进入空间。此外，研究表明，PSPSW增强了延展性。在本文中，拓扑优化（TO）用于在以应变能为目标函数的矩框架中引入PSPSW的新形式。使用灵敏度分析，SIMP方法和移动渐近线的方法进行TO。在TO中定义了四个长宽比（0.67、1.0、1.5和2.0）和三个板厚（2 mm，4 mm和8 mm），并在结果中考虑了它们的影响。为了进行全面研究，将TO的结果与带孔的PSPSW的三种常见形式和先前的优化模型进行了比较。具有相同纵横比和相同板厚的板的材料体积相等。研究了所有模型的循环行为，并从强度，能量耗散和断裂趋势方面进行了比较。应用层次分析法（AHP）评分并确定最佳模型和形式。层次分析法表明，优化模型具有较好的性能。层次分析法的结果表明，该优化模型的得分为100％，占22.07％，而先前优化模型和三个传统模型的得分分别为20.67％，19.36％，19.06％和18.84％。 。