一种具有能量俘获自参数摆动力吸振器的设计及参数影响分析
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TB535;O322

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国家自然科学基金资助项目(51905081);河北省自然科学基金资助项目(E2019501117);中央高校基本科研业务费资助项目(N2223028)


Design and parametric impact analysis of an auto-parametric pendulum dynamic vibration absorber with energy capture
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    摘要:

    传统的摆类动力吸振器因为抑振频带较窄,对于工程环境中较宽频带的振动,往往表现出较低的工作效率。 针对该问题,本文设计了一款具有较宽抑振频带的自参数摆动力吸振器。该装置以封闭线圈代替了附属结构中的 子结构摆,在子结构摆的两侧对称装有强磁铁。线圈摆动时切割磁感线产生感应电流,进而将振动抑制与能量俘获 结合在一起。以所提动力吸振器为研究对象,基于拉格朗日方程推导了这类非线性振动系统的运动微分方程。采 用多尺度方法求出了该系统的幅频特征方程,并应用李亚普诺夫稳定性理论给出稳态解的判别条件。应用小参数 法进一步化简了幅频特征方程,并且获得了系统抑振频带的解析表达式。基于理论分析,应用数值方法研究了不同 设计参数对抑振性能的影响,发现较小的机械阻尼、弹簧刚度和摆长,或较大的附加磁力都可以使该系统获得较高 的抑振性能。上述结论得到了时域仿真的验证。研究发现与传统的摆类动力吸振器相比,由于增加了磁力和封闭 线圈的作用,不仅会使系统的抑振性能得到提高,还可以实现对振动能量的俘获。

    Abstract:

    For the wider bandwidth of vibration in the engineering environment, the conventional pendulum dynamic vibration ab? sorber tends to exhibit lower efficiency due to its narrow suppression bandwidth. For this problem, this paper designs an auto-para? metric pendulum dynamic vibration absorber with a wide suppression bandwidth. The device consists of a closed coil instead of a sub-structure pendulum in the subsidiary structure and is equipped symmetrically with strong magnets on both sides of the pendu? lum. The coil oscillation cuts the magnetic induction to generate the induced current, which in turn combines vibration suppression and energy harvest. Taking the proposed dynamic vibration absorber as the object, the differential equations of motion for the non? linear vibration system are derived based on the Lagrange equations. The amplitude-frequency characteristic equations of the sys? tem are derived using the multi-scale method, and the conditions of the steady-state solutions are given by applying the Lyapunov stability theory. Using the small parameter expansion method, the amplitude-frequency characteristic equation is further simplified and the analytical expression of the suppressed frequency bandwidth of the system is found. Based on the theoretical analysis, the influence of different design parameters on the vibration suppression performance is investigated numerically. It is found that a smaller mechanical damping, spring stiffness and pendulum length, or a larger additional magnetic force can lead to a higher sup? pression performance. The above conclusions are verified by the time domain simulation. Therefore, it can be concluded that the system has improved the vibration suppression performance and can capture the vibration energy due to the introduction of magnetic force and closed coil compared to the conventional pendulum dynamic vibration absorber.

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陈晓哲,焦志成,石加联.一种具有能量俘获自参数摆动力吸振器的设计及参数影响分析[J].振动工程学报,2023,36(6):1657~1663.[CHEN Xiao-zhe, JIAO Zhi-cheng, SHI Jia-lian. Design and parametric impact analysis of an auto-parametric pendulum dynamic vibration absorber with energy capture[J]. Journal of Vibration Engineering,2023,36(6):1657~1663.]

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  • 在线发布日期: 2024-01-02
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