This paper presents for variable stiffness tuned mass dampers (VS-TMDs) a vibration control algorithm combined with a nonlinear system identification method. The objective of the proposed approach is the control of multistory shear frame structures, which exhibit abrupt stiffness degradations. A stiffness variable control (SVC) algorithm is developed to control the stiffness of the VS-TMD, which is based on the mitigation of the potential energy of the structure. For the identification of the system parameters, an adaptive unscented Kalman filter (A-UKF) scheme is utilized. The paper describes the theoretical background of the proposed approach with its governing equations and conducts performance studies on a semi-actively controlled 2-story shear frame structure. Harmonic, white noise and earthquake excitation scenarios including seismic aftershock effects are investigated. Sensitivity studies are conducted. With the proposed approach, the abrupt stiffness changes of the structure are detected and the damper stiffness is adapted successfully. The results show that the SVC together with the A-UKF clearly outperforms the passive TMD control.

本文针对可变刚度调谐质量阻尼器 (VS-TMD) 提出了一种结合非线性系统识别方法的振动控制算法。所提出的方法的目标是控制多层剪切框架结构，该结构表现出突然的刚度退化。开发了刚度变量控制 (SVC) 算法来控制 VS-TMD 的刚度，该算法基于结构势能的缓解。为了识别系统参数，使用了自适应无迹卡尔曼滤波器 (A-UKF) 方案。本文描述了所提出方法的理论背景及其控制方程，并对半主动控制的 2 层剪力框架结构进行了性能研究。谐波，研究了白噪声和地震激发场景，包括地震余震效应。进行了敏感性研究。使用所提出的方法，可以检测到结构的突然刚度变化并成功地调整阻尼器刚度。结果表明，SVC 与 A-UKF 一起明显优于被动 TMD 控制。