Enhanced energy dissipation benefit of negative stiffness amplifying dampers
Enhanced energy dissipation benefit of negative stiffness amplifying dampers
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DOI：
10.1016/j.ijmecsci.2022.107934
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发表时间：
2022-11
影响因子：
7.3
通讯作者：
Zhipeng Zhao;Qingjun Chen;Xiuyan Hu;Ruifu Zhang
中科院分区：
文献类型：
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作者：
Zhipeng Zhao;Qingjun Chen;Xiuyan Hu;Ruifu Zhang
负刚度设备对于高性能振动控制的兴趣迅速增加。负刚度装置串联调谐弹簧，形成阻尼器的增强机构，称为负刚度放大阻尼器（NSAD），其耗能效率比单独的粘性阻尼器高得多。基于观察到的增强现象，本研究通过推导解析增强耗能公式，揭示了耗能增强效益的理论基础。介绍了负刚度装置的基本概念和物理实现方法，在此基础上建立了NSAD和配备NSAD的结构的力学模型，进行无量纲响应分析。遵循随机框架，配备 NSAD 的结构的随机响应以封闭形式求解。相应地，推导了简单易懂的方程并表示为“增强能量耗散公式”，以明确量化每个组件在 NSAD 中的贡献。受该公式的启发，综合考虑能量耗散增强机制和目标控制性能，提出了具有两种策略的NSAD设计框架。遵循设计原则，以简单的形式推导出详细的设计公式。最后，提供了一个设计过程并将其应用于一系列设计案例以进行说明。结果表明，能量耗散增强机制使 NSAD 能够比传统阻尼器提供更高的能量耗散效率，而不会牺牲隔振效果或过大的阻尼力。解析公式通过量化 NSAD 成分对振动控制和能量耗散增强效果的贡献，清楚地解释了理论基础。基于这一新解释的好处，该设计框架相继提供了一种高效耗能装置，实现了其预期的控制性能。此外，还为新的设计策略推导了易于使用的设计公式，以允许直接设计 NSAD。
Negative-stiffness devices are of rapidly increasing interest for high-performance vibration control. With a tuning spring in series, the negative-stiffness device forms an enhancement mechanism for the dashpot, named the negative stiffness amplifying damper (NSAD), which is much more efficient in dissipating energy than the viscous damper alone. Based on the observed enhancement phenomenon, this study reveals the theoretical basis of the energy dissipation enhancement benefit by deriving the analytical enhanced energy dissipation formula. The basic concept and physical realization methods for the negative-stiffness device are introduced, based on which the mechanical models of NSAD and NSAD-equipped structures are established for dimensionless response analysis. Following a stochastic framework, the stochastic responses of the NSAD-equipped structure are solved in closed form. Correspondingly, simple and easy-to-understand equations are derived and denoted as the “enhanced energy dissipation formula” to quantify each component's contribution in the NSAD explicitly. Inspired by the formula, a design framework with two strategies is proposed for NSADs with a synthetic consideration of the energy dissipation enhancement mechanism and target control performance. Following the design principle, detailed design formulae are derived in a simple form. Finally, a design procedure is provided and applied to a series of design cases for illustration. The results show that the energy dissipation enhancement mechanism enables NSADs to offer improved energy dissipation efficiency over conventional dampers without sacrificing the vibration isolation effect or the excessive damping force. The analytical formula clearly explains the theoretical basis by quantifying the NSAD components’ contribution to the vibration control and energy dissipation enhancement effects. Based on this newly explained benefit, the design framework successively provides a high-efficiency energy dissipation device that fulfills its intended control performance. In addition, the easy-to-use design formulae are derived for the new design strategy to allow the direct design of NSADs.