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Nonlinear energy sink with limited vibration amplitude

机译：非线性能量下沉，振动有限

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摘要

In the research of applying nonlinear energy sinks for vibration reduction, usually the vibration amplitude of nonlinear energy sinks is not limited. Since the linear stiffness of the nonlinear energy sink is zero, the vibration amplitude of the nonlinear energy sink may be very large. This is obviously not acceptable in many mechanical engineering fields. Based on theoretical and experimental investigations, this paper investigates a limited nonlinear energy sink by using a piecewise spring device. Thus, the vibration amplitude of the nonlinear energy sink can be restricted from being too large. For free vibration, the effects of the piecewise stiffness and the gap width on the vibration responses of the nonlinear energy sink and the primary system, i.e. the linear oscillator, are profoundly examined. The numerical results show that the vibration of the nonlinear energy sink is effectively suppressed. Nevertheless, the vibration damping effect of the nonlinear energy sink on the linear oscillator is weakened after the introduction of the piecewise spring. However, after improving parameters reasonably, the nonlinear energy sink can still achieve considerable damping effects. In addition, the experimental results are conducted to verify the theoretical results. Moreover, the particle swarm optimization algorithm is used to optimize the piecewise stiffness and the gap width so that the vibration of the lin-ear oscillator is suppressed most efficiently. The optimized results are verified with the dif-ferential evolution algorithm to illustrate that the particle swarm optimization is effective and accurate. In conclusion, this work provides useful information for the design of the nonlinear energy sink and can promote the engineering application of the nonlinear energy sink.
机译：在应用非线性能量下沉进行减振的研究中，通常非线性能量沉积的振动幅度不受限制。由于非线性能量水槽的线性刚度为零，因此非线性能量水槽的振动幅度可能非常大。这在许多机械工程领域显然是不可接受的。基于理论和实验研究，本文通过使用分段弹簧装置调查有限的非线性能量水槽。因此，可以限制非线性能量水槽的振动幅度过大。对于自由振动，分段刚度和间隙宽度对非线性能量水槽和主要系统的振动响应的影响，即线性振荡器，是深切的。数值结果表明，非线性能量水槽的振动有效地抑制。然而，在引入分段弹簧后，线性振荡器上的非线性能量水槽的减振效果削弱。然而，在合理地改善参数之后，非线性能量水槽仍然可以实现相当大的阻尼效果。此外，进行实验结果以验证理论结果。此外，粒子群优化算法用于优化分段刚度和间隙宽度，从而最有效地抑制了林耳振荡器的振动。通过不同的差异进化算法验证了优化的结果，以说明粒子群优化是有效准确的。总之，这项工作为非线性能量水槽设计提供了有用的信息，可以促进非线性能量水槽的工程应用。

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  • 来源
    《Mechanical systems and signal processing》 |2021年第7期|107625.1-107625.14|共14页
  • 作者

    Xiao-Feng Geng; Hu Ding; Xiao-Ye Mao; Li-Qun Chen;

  • 作者单位

    Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai Institute of Applied Mathematics and Mechanics School of Mechanics and Engineering Science Shanghai University Shanghai 200072 China;

    Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai Institute of Applied Mathematics and Mechanics School of Mechanics and Engineering Science Shanghai University Shanghai 200072 China;

    Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai Institute of Applied Mathematics and Mechanics School of Mechanics and Engineering Science Shanghai University Shanghai 200072 China;

    Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai Institute of Applied Mathematics and Mechanics School of Mechanics and Engineering Science Shanghai University Shanghai 200072 China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Nonlinear energy sink; Piecewise stiffness; Particle swarm optimization; Vibration suppression;

    机译：非线性能量水槽;分段僵硬;粒子群优化;振动抑制;

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