Abstract Apparent weakening by adaptive stiffness shaping of structures using a negative stiffness device (NSD) is a new passive structural control approach to mitigate the response of structures during severe ground motions. Experimental studies confirm significant reductions in acceleration, inter-story drift and base shear experienced by a structure when a NSD is deployed in conjunction with a viscous damper. So far, the focus and application of NSDs has been restricted to response reduction in the story where a NSD is installed and its effect on stories above that. In this paper, we demonstrate the efficacy of deploying NSDs accompanied by dampers at multiple locations along the height of an example nine story structure. Typically, the NSDs in the lower floors undergo large deformations since the energy from a ground motion is transmitted from the bottom to top. To prevent this, we propose a generalized scheme to incorporate NSDs at all floors with different apparent-yield displacements. We incorporate the variations with a view towards minimizing localized inter-story deformations (ISD) and distribute the effects of strong ground motions evenly along the height of the structure. In addition to the variation of apparent-yield of NSDs, we study the effects of supplementing the NSD with linear and non-linear dampers. We compare the response of the nine story structure without passive control devices (BS) to cases where linear dampers (LD) are attached, nonlinear dampers are attached (ND), NSDs in conjuction with linear dampers are attached (NSD + LD) and NSDs in conjunction with nonlinear dampers are attached (NSD + ND). Our results show that if the distribution of apparent yield is properly designed for a structure, NSDs with nonlinear dampers results in a superior performance compared to the other cases considered in this paper.

中文翻译：

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使用负刚度装置和阻尼器进行地震保护，通过沿多层建筑高度的自适应被动刚度成形来明显减弱

摘要 使用负刚度装置 (NSD) 对结构进行自适应刚度成形的表观弱化是一种新的被动结构控制方法，可减轻结构在严重地面运动期间的响应。实验研究证实，当 NSD 与粘性阻尼器一起部署时，结构所经历的加速度、层间漂移和基础剪切力显着降低。到目前为止，NSD 的重点和应用仅限于安装 NSD 的故事中的响应减少及其对以上故事的影响。在本文中，我们展示了在沿示例九层结构高度的多个位置部署 NSD 和阻尼器的功效。通常，由于地面运动的能量从底部传递到顶部，因此较低楼层的 NSD 会发生很大的变形。为了防止这种情况发生，我们提出了一种通用方案，将 NSD 纳入所有具有不同表观屈服位移的楼层。我们将这些变化结合起来，以最大限度地减少局部层间变形 (ISD)，并沿结构高度均匀分布强地面运动的影响。除了 NSD 表观屈服的变化外，我们还研究了用线性和非线性阻尼器补充 NSD 的效果。我们将没有被动控制装置 (BS) 的九层结构的响应与连接线性阻尼器 (LD)、连接非线性阻尼器 (ND) 的情况进行比较，连接线性阻尼器的 NSD (NSD + LD) 和连接非线性阻尼器的 NSD (NSD + ND)。我们的结果表明，如果结构的表观屈服分布设计得当，与本文中考虑的其他情况相比，具有非线性阻尼器的 NSD 会产生更好的性能。