Direct displacement‐based design (DDBD) procedure utilizes an equivalent single‐degree‐of‐freedom model to predict seismic demands while neglecting the higher mode effects. Controlled rocking steel cores (CRSCs) vibrate in the first mode of vibration; however, higher modes greatly influence the member forces. Previous studies, in which DDBD has been utilized, have not quantified the contribution of higher mode demands to CRSC's assemblies. This paper aims to extend the DDBD (EDDBD) procedure for low‐damage buildings, equipped with CRSCs. Modal responses are combined with modified SRSS at the design displacement. Design is formulated for the strength and stiffness of the CRSC components. The application of the proposed design approach is illustrated by 3‐, 9‐, and 15‐story archetypes. Results verified by nonlinear dynamic analyses demonstrate the high precision of EDDBD in the design of low‐ to mid‐rise CRSCs. The proposed procedure is applicable to commercial software.

中文翻译：

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扩展了基于直接位移的设计，以量化对受控摇摆钢芯的高模效应

基于直接位移的设计（DDBD）程序利用等效的单自由度模型来预测地震需求，同时忽略较高的模态效应。控制的摇摆钢芯（CRSC）在第一种振动模式下振动；但是，较高的模式会极大地影响分力。先前使用DDBD的研究尚未量化更高模式需求对CRSC组件的贡献。本文旨在扩展配备CRSC的低损建筑物的DDBD（EDDBD）程序。在设计位移处，模态响应与修改后的SRSS相结合。为CRSC组件的强度和刚度制定了设计。建议的设计方法的应用通过3层，9层和15层原型进行说明。非线性动力学分析验证的结果表明，EDDBD在中低层CRSC设计中具有很高的精度。建议的过程适用于商业软件。