Abstract
Vibration isolation for low frequency excitation and the power supply for low power monitoring sensors are important issues in bridge engineering. The main problem is how to effectively combine the vibration isolator with the energy harvester to form a multi-functional structure. In this paper, a system called quasi-zero stiffness energy harvesting isolator (QZS-EHI) with triple negative stiffness (TNS) is proposed. The TNS structure consists of linear springs, rigid links, sliders, and ring permanent magnets. Newton’s second law and Kirchhoff’s law construct dynamic equations of the QZS-EHI, and a comparison is made to contrast it with other QZS and linear isolators. The comparison field includes the QZS range, amplitude-frequency relationship, force transmissibility, and energy harvested power. The isolator can be applied to many engineering fields such as bridges, automobiles, and railway transportation. This paper selects bridge engineering as the main field for the dynamic analysis of this system. Considering the multi-span beam bridge, this paper compares different situations including the bridge with QZS-EHI support, with linear stiffness isolator support, and with single beam support. All results show that the QZS-EHI is not only better than the traditional isolator with linear stiffness under both harmonic and stochastic excitation, but also better than some QZS isolators with double or single negative stiffness in bridge vibration isolation and energy harvesting. Theoretical analysis is verified to correspond to the simulation analysis, which means the proposed QZS-EHI has practical application value.
摘要
低频激励的隔振和低功率监测传感器的供电是桥梁工程中的重要问题, 关键是如何将隔振器与能量采集器有效结合,形成多功 能结构. 本文提出了一种具有三重负刚度(TNS)的准零刚度俘能隔振(QZS-EHI)系统. TNS结构由线性弹簧、刚性连杆、滑块和环形永 磁体组成. 本文以牛顿第二定律和基尔霍夫定律构造了QZS-EHI的动力学方程, 并与其他QZS和线性隔振器进行了比较. 比较内容包括 QZS范围、幅频响应、力传递率和俘能效率. 该隔离器可应用于桥梁、汽车、铁路运输等许多工程领域. 本文选择桥梁工程作为该系 统动力分析的主要领域. 针对多跨梁桥, 比较了QZS-EHI支座、线刚度隔振支座和单梁支座的不同情况. 结果表明, QZS-EHI不仅在谐 波和随机激励下都优于传统的线性刚度隔振器, 而且在桥梁隔振和能量收集方面也优于某些双负刚度或单负刚度的QZS隔振器. 理论 分析与仿真分析结果基本一致, 表明所提出的QZS-EHI具有实际应用价值.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant No. 12272293), and Guangdong Basic and Applied Basic Research Foundation (Grant Nos. 2022A1515010967 and 2023A1515012821).
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Author contributions Xiangyu Cai and Tao Yang designed the research. Xiangyu Cai and Tao Yang wrote the first draft of the manuscript. Weiyang Qin set up the experiment set-up and processed the experiment data. Zhongliang Xie helped organize the manuscript. Xiangyu Cai and Tao Yang revised and edited the final version.
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Cai, X., Yang, T., Qin, W. et al. A quasi-zero stiffness energy harvesting isolator with triple negative stiffness. Acta Mech. Sin. 40, 523531 (2024). https://doi.org/10.1007/s10409-024-23531-x
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DOI: https://doi.org/10.1007/s10409-024-23531-x