Performance-based optimization of active-passive hybrid mass damper based on virtual TMD algorithm

Subjecting structures to external forces inevitably leads to the generation of vibrations. For high-rise and flexible structures, excessive vibrations can significantly impact their normal operation and structural integrity. To mitigate these undesirable vibrations, structural vibration control is essential. Among various passive control methods, the tuned mass damper (TMD) is widely used for its ability to reduce vibrations through resonance with the structure. Meanwhile, the active mass damper (AMD) can also achieve an excellent control efficiency by exerting active control force on structures. Hybrid control integrates the benefits of multiple control strategies and applies the control forces on the same structure simultaneously. Hybrid mass damper (HMD) combines the passive characteristics of TMD and the active features of AMD, overcoming the limitations associated with using either system in isolation. This paper proposes a novel hybrid control method based on virtual TMD algorithm and optimizes the parameters of HMD by weighting the structural response and stroke of HMD to improve the comprehensive control performance. The effectiveness of this optimization is substantiated in the frequency domain. Additionally, numerical simulations are conducted to compare the optimized HMD with the traditional TMD and the unoptimized HMD, demonstrating both the effectiveness of the optimization and the superior control performance of the optimized HMD. The numerical results indicate that the optimized HMD reduces stroke by 15.6% compared to the unoptimized HMD on the premise that the control effect only loses 2.4%. Overall, the optimized HMD demonstrates superior comprehensive control performance relative to the unoptimized HMD.