Damping enhancement principle of inerter system

Damping enhancement principle of inerter system
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惰性系统阻尼增强原理

DOI:
10.1002/stc.2523
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发表时间:
2020-05
影响因子:
5.4
通讯作者:
Xue Songtao
Xue Songtao
中科院分区:
工程技术2区
文献类型:
--
作者:
Zhang Ruifu;Zhao Zhipeng;Pan Chao;Ikago Kohju;Xue Songtao

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惯性器系统中的惯性器、弹簧和能量耗散元件(EDE)之间的相互作用可以导致与单个相同EDE相比更高的能量耗散效率,这被称为阻尼增强效应。以往的研究主要集中在惯性系统的减振效果,没有明确考虑或利用阻尼增强机制。本研究揭示了阻尼增强效应的理论本质,并提出了惯性系统的通用设计原则。基于闭合形式的随机响应,建立并论证了阻尼变形增强系数(DDEF)与反应缓和比之间的基本方程,从而阐明了阻尼增强效应与反应缓和效应之间的关系。受该方程的启发,提出了一种新的基于阻尼增强的策略来确定惯性系统的关键参数。根据基于性能需求的设计理念,可以在目标阻尼增强效果的设计条件下确定惯性器系统的参数。通过阻尼增强方程的实现,可以直接由预先给定的DDEF和位移响应阻尼比来获得惯性系统的阻尼参数。研究了惯性系统参数对响应衰减效果和阻尼增强效果的影响,确定了惯性系统中另外两个参数的获取方法。最后,设计实例验证了所提出的策略和阻尼增强方程揭示的理论关系。结果表明,所提出的设计策略明确地利用阻尼增强效应的振动控制,其中的DDEF的目标是有效地提高效率的EDE的能量耗散。在目标DDEF的设计条件下,所提出的阻尼增强方程的实施为惯性系统提供了一个实用的方程,以直接的方式确定惯性系统的关键参数。
Interactions among an inerter, spring, and energy dissipation element (EDE) in an inerter system can result in a higher energy dissipation efficiency compared to a single identical EDE, which is referred to as the damping enhancement effect. Previous studies have mainly concentrated on the vibration mitigation effect of the inerter system without an explicit consideration or utilization of the damping enhancement mechanism. In this study, the theoretical essence of the damping enhancement effect is discovered, and a universal design principle is proposed for an inerter system. A fundamental equation is found and demonstrated on the basis of closed‐form stochastic responses, which establishes a bridge between the damping deformation enhancement factor (DDEF) and the response mitigation ratio, thus clarifying the relationship of the damping enhancement effect and the response mitigation effect. Inspired by the equation, a novel damping‐enhancement‐based strategy is proposed to determine the key parameters of an inerter system. Following the performance‐demand‐based design philosophy, the parameters of the inerter system can be determined in the design condition of a target‐damping‐enhancement effect. Through the implementation of the damping enhancement equation, the damping parameter of an inerter system can be directly obtained by the prespecified DDEF and the displacement response mitigation ratio. The influence of parameters on the response mitigation effect and the damping enhancement effect is then investigated to determine ways of obtaining the other two parameters in an inerter system. Finally, design examples are conducted to verify the proposed strategy and the theoretical relationship revealed by the damping enhancement equation. The results show that the proposed design strategy explicitly utilizes the damping enhancement effect for vibration control, where the target of the DDEF is effective in enhancing the efficiency of the EDE for energy dissipation. In the design condition of the target DDEF, the implementation of the proposed damping enhancement equation provides an inerter system with a practical equation to determine the key parameters of an inerter system in a direct manner.
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