Abstract We introduced shape memory alloy (SMA) assisted nonlinear energy sink (NES) with negative stiffness for seismic vibration mitigation. The ability of dissipating energy through a hysteretic phase transformation of its microstructure triggered by cyclic loading is a notable feature. To utilize this feature, the nonlinear spring within NES is replaced by a SMA based spring. The nonlinear material behavior of SMA spring is modeled by the Greaser - Cozzarelli model utilizing the super-elastic effect of SMA. In order to ensure robust performance of the proposed controller, the tuning parameters of SMA assisted NES with negative stiffness are determined by solving a robust design optimization problem. To solve the RDO problem in an efficient manner, blind Kriging has been used as a surrogate model. A number of parametric studies are carried out to illustrate the robustness of the proposed controller. The results obtained clearly demonstrate the enhanced and robust performance of the proposed SMA enhanced NES with negative stiffness.

中文翻译：

---

具有负刚度和摩擦力的基于 SMA 的非线性能量汇的稳健设计优化

摘要 我们引入了具有负刚度的形状记忆合金 (SMA) 辅助非线性能量汇 (NES) 以减轻地震振动。通过由循环加载触发的微观结构的滞后相变来耗散能量的能力是一个显着特征。为了利用此功能，NES 中的非线性弹簧被基于 SMA 的弹簧取代。SMA 弹簧的非线性材料行为通过利用 SMA 的超弹性效应的 Greaser-Cozzarelli 模型进行建模。为了确保所提出的控制器的鲁棒性能，通过解决鲁棒设计优化问题来确定具有负刚度的 SMA 辅助 NES 的调谐参数。为了以有效的方式解决 RDO 问题，盲克里金法已被用作代理模型。进行了许多参数研究来说明所提出的控制器的鲁棒性。获得的结果清楚地证明了所提出的具有负刚度的 SMA 增强型 NES 的增强和稳健性能。