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一种含惯容和接地刚度的动力吸振器参数优化

隋鹏 申永军 杨绍普

隋鹏, 申永军, 杨绍普. 一种含惯容和接地刚度的动力吸振器参数优化[J]. 力学学报, 2021, 53(5): 1412-1422. doi: 10.6052/0459-1879-21-058
引用本文: 隋鹏, 申永军, 杨绍普. 一种含惯容和接地刚度的动力吸振器参数优化[J]. 力学学报, 2021, 53(5): 1412-1422. doi: 10.6052/0459-1879-21-058
Sui Peng, Shen Yongjun, Yang Shaopu. PARAMETERS OPTIMIZATION OF A DYNAMIC VIBRATION ABSORBER WITH INERTER AND GROUNDED STIFFNESS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1412-1422. doi: 10.6052/0459-1879-21-058
Citation: Sui Peng, Shen Yongjun, Yang Shaopu. PARAMETERS OPTIMIZATION OF A DYNAMIC VIBRATION ABSORBER WITH INERTER AND GROUNDED STIFFNESS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1412-1422. doi: 10.6052/0459-1879-21-058

一种含惯容和接地刚度的动力吸振器参数优化

doi: 10.6052/0459-1879-21-058
基金项目: 1)国家自然科学基金资助项目(U1934201);国家自然科学基金资助项目(11772206)
详细信息
    作者简介:

    2)申永军, 教授, 主要研究方向: 机械系统的动力学与振动控制. E-mail: shenyongjun@stdu.edu.cn

    通讯作者:

    申永军

  • 中图分类号: O328,TH113.1

PARAMETERS OPTIMIZATION OF A DYNAMIC VIBRATION ABSORBER WITH INERTER AND GROUNDED STIFFNESS

  • 摘要: 大多数机械振动属于有害振动, 不仅会产生噪声还会降低设备的使用寿命和工作性能. 接地刚度和惯容这两种器件均能改变系统的固有频率, 在振动控制领域中有着良好的效果. 但目前的大部分研究仅着眼于单一元件对系统产生的影响, 而此类吸振器逐渐难以满足设备对振动控制需求的增长. 在Voigt型动力吸振器模型的基础上, 提出了一种含有惯容和接地刚度的新型动力吸振器模型, 详细研究了该模型的最优设计参数, 推导出最优设计公式的解析解. 首先通过牛顿第二定律建立起二自由度系统的运动微分方程, 计算出系统解析解, 发现系统存在3个与阻尼比无关的固定点, 利用固定点理论得到了动力吸振器的最优频率比. 为保证系统稳定性, 筛选最优接地刚度比时, 发现不恰当的惯容系数会导致系统产生失稳现象, 进而推导出惯容最佳工作范围, 最终得到了最优接地刚度比和近似最优阻尼比. 分析了惯容系数取值在最佳范围以外时系统的工作情况, 并给出了实际应用中的建议. 通过数值仿真验证了推导得到解析解的正确性. 与多种已有的动力吸振器在简谐激励和随机激励的工况下进行对比, 说明了该模型能够大幅降低主系统振幅, 拓宽减振频带, 为设计新型吸振器提供了理论依据.

     

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  • 收稿日期:  2021-02-22
  • 刊出日期:  2021-05-18

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