惯容式阻尼器耗能减振机理分析研究

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (23) : 220-229.

论文

惯容式阻尼器耗能减振机理分析研究

李瑞林 1，2 ，刘金龙 1，2，林均歧 1，2

作者信息 +

Energy dissipation and vibration reduction mechanism analysis of inertial dampers

LI Ruilin1,2, LIU Jinlong1,2, LIN Junqi1,2

Author information +

文章历史 +

摘要

惯容是一种新型的力学元件，其常与弹簧元件和阻尼元件相互连接后形成惯容式阻尼器，以协同发挥耗能减振作用。在工程结构的振动控制中，惯容式阻尼器（如调谐惯性阻尼器（tuned inerter damper, TID）和调谐黏滞质量阻尼器（tuned viscous mass damper，TVMD））往往比传统的粘滞阻尼器具有更出色的减振性能。为了探究TID和TVMD这两种惯容式阻尼器的减振机理及优点，本文基于简化的单自由度减振结构，利用动力学理论推导了两种惯容式阻尼器在动力条件下为结构提供的附加等效刚度系数和阻尼系数的表达式。通过对这些表达式的分析研究，得出了惯容式阻尼器提供附加正负刚度和产生耗能增效机制的显式条件。此外，本文还基于滞回曲线展现了惯容元件的负刚度特性，并说明了在耗能增效机制下，阻尼器内部惯容元件和弹簧元件对粘滞阻尼元件两端响应的放大作用，从而直观解释了惯容式阻尼器的减振优势。

Abstract

Inertia dampers are a new type of mechanical element, which are often interconnected with spring and damping elements to form inertia dampers to synergize energy dissipation and vibration damping. In the vibration control of engineering structures, inertia dampers (e.g., TIDs and TVMDs) often have better vibration damping capabilities than conventional viscous dampers. In order to investigate the vibration damping mechanism and advantages of the two types of inertia dampers, TID and TVMD, this paper, based on a simplified SDOF structure, utilizes the kinetic theory to derive the expressions for the additional equivalent stiffness coefficients and damping coefficients provided by the two types of inertia dampers to the structure under dynamic conditions. The explicit conditions for the inertia dampers to provide additional positive and negative stiffness and to produce the damping enhancement principle are derived from the analytical study of these expressions. In addition, this paper shows the negative stiffness characteristics of the inerter element based on the hysteresis curve and illustrates the amplification of the response of both ends of the viscous damping element by the inertia element and the spring element inside the damper under the damping enhancement principle, which intuitively explains the vibration-damping advantages of the inertia dampers.

导出引用

李瑞林 1, 2 , 刘金龙 1, 2, 林均歧 1, 2. 惯容式阻尼器耗能减振机理分析研究[J]. 振动与冲击, 2024, 43(23): 220-229

LI Ruilin1, 2, LIU Jinlong1, 2, LIN Junqi1, 2. Energy dissipation and vibration reduction mechanism analysis of inertial dampers[J]. Journal of Vibration and Shock, 2024, 43(23): 220-229

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