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A ground-limited nonlinear energy sink

接地限幅型非线性能量汇

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Abstract

The nonlinear energy sink (NES) is outstanding in vibration control for the well-known character of energy targeted transmitting and resonance automatically capturing. To enhance the practicability, this paper proposes a ground-limited NES. The novel design can be encapsulated in a certain box. However, as the vibration region of NES is limited, the control efficiency of it must be considered seriously. Hence, the ground-limited NES is discussed via the analytical method, the simulation method, and especially the experiment in forced vibration. All parameters involved in this study are obtained through the parameter identification based on the experimental platform. The piecewise nonlinearity is fitted into the continuous nonlinearity by the hyperbolic tangent function. Then the harmonic balance method (HBM) is used during the analytical processing to promote the accuracy of the solution. The direct numerical method produces results to verify the analytical method together with the experimental records. The discussion on the control parameters shows that a proper limiting spring can effectively reduce the vibration of the NES while the cost of the control efficiency is small. In a word, this work provides a simple and reliable approach for restricting the NES, which is beneficial to the design of the NES and broadens the application of the NES in engineering.

摘要

非线性能量汇(NES)以能量定向传输和共振自动捕获的特性在被动振动控制方面表现突出. 为了提高实用性, 本文提出了一种接地限幅型NES. 该设计可以封装在一个盒子里. 然而, 由于NES的振动区域有限, 需要考虑其控制效率. 因此, 通过近似解析方法、 数值仿真方法, 特别是强迫振动实验, 研究接地限幅型NES的动力学特性. 本研究中涉及的所有参数均通过基于实验平台的参数辨识得到. 通过双曲正切函数将分段非线性拟合成连续非线性. 然后在分析处理过程中使用谐波平衡法(HBM)来提高解的准确性. 直接数值方法产生的结果与实验记录一起验证了解析方法. 对控制参数的分析表明, 适当的限位弹簧可以有效地降低NES的振动, 同时控制效率的代价很小. 总之, 这项工作为NES的约束提供了一种简单可靠的方法, 有利于NES的设计, 拓宽了NES在工程中的应用.

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Authors and Affiliations

  1. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai, 200444, China

    Xiao-Feng Geng  (耿晓锋), Hu Ding  (丁虎), Xiao-Ye Mao  (毛晓晔) & Li-Qun Chen  (陈立群)

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  1. Xiao-Feng Geng  (耿晓锋)
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  2. Hu Ding  (丁虎)
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  3. Xiao-Ye Mao  (毛晓晔)
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  4. Li-Qun Chen  (陈立群)
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Corresponding author

Correspondence to Hu Ding  (丁虎).

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 11772181) and the National Science Fund for Distinguished Young Scholars (Grant No. 12025204).

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Geng, XF., Ding, H., Mao, XY. et al. A ground-limited nonlinear energy sink. Acta Mech. Sin. 38, 521558 (2022). https://doi.org/10.1007/s10409-022-09027-x

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