The passive tuned viscous mass damper (TVMD), i.e., a classic inerter system, has been proven as an efficient vibration mitigation device that is characterized by a damping-enhancement effect for enhanced energy absorption and dissipation. However, due to the sensitivity of the tuning frequency, the effective frequency band of TVMD for vibration reduction is limited, so that the enhanced energy absorption and dissipation are limited. Dealing with this, this study proposes a novel variable friction TVMD (VF-TVMD) by incorporating a sub-device with variable friction forces into the TVMD, successively maximizing the energy dissipation efficiency of VF-TVMD by employing a power-flow-based algorithm. A power-flow analysis is performed for TVMD-structures, which explicitly determine the optimal phase deviation of the dashpot-deformation in TVMD with respect to structural displacement. Given this finding, the friction device in VF-TVMD is employed by the proposed power-flow-based control strategy to adjust the asynchronous vibration between the TVMD and primary structure. Through the implementation of VF-TVMD, the feasibility and effectiveness are illustrated by numerical examples. The results show that a desired phase lag of the TVMD with respect to the structure is −90° to guarantee TVMD the maximum power flow for energy dissipation. Benefitting from the variable friction force, the VF-TVMD is more effective for structural vibration control and exhibits a more significant damping-enhancement effect, in comparison with the TVMD. Applicable in a wider frequency band, the structural vibration can be significantly mitigated by the optimized VF-TVMD or even by VF-TVMD with un-optimized stiffness and damping ratios.

中文翻译：

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可变摩擦调谐粘性质量阻尼器和基于功率流的控制

被动调谐粘性质量阻尼器（TVMD），即经典的惰性系统，已被证明是一种有效的减振装置，其特点是具有阻尼增强效应，可增强能量吸收和耗散。然而，由于调谐频率的敏感性，TVMD用于减振的有效频带有限，从而增强的能量吸收和耗散受到限制。针对这个问题，本研究提出了一种新的可变摩擦力 TVMD (VF-TVMD)，通过将具有可变摩擦力的子装置集成到 TVMD 中，通过采用基于功率流的算法连续最大化 VF-TVMD 的能量耗散效率。 . 对 TVMD 结构进行潮流分析，它明确地确定了 TVMD 中阻尼器变形相对于结构位移的最佳相位偏差。鉴于这一发现，VF-TVMD 中的摩擦装置通过所提出的基于功率流的控制策略来调节 TVMD 和主结构之间的异步振动。通过VF-TVMD的实施，通过数值例子说明了可行性和有效性。结果表明，TVMD 相对于结构的所需相位滞后为 -90°，以保证 TVMD 的最大功率流用于能量耗散。与TVMD相比，VF-TVMD受益于可变摩擦力，对结构振动控制更有效，阻尼增强效果更显着。适用于更宽的频段，