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负刚度时滞反馈控制动力吸振器的等峰优化

代晗 赵艳影

代晗, 赵艳影. 负刚度时滞反馈控制动力吸振器的等峰优化[J]. 力学学报, 2021, 53(6): 1720-1732. doi: 10.6052/0459-1879-21-074
引用本文: 代晗, 赵艳影. 负刚度时滞反馈控制动力吸振器的等峰优化[J]. 力学学报, 2021, 53(6): 1720-1732. doi: 10.6052/0459-1879-21-074
Dai Han, Zhao Yanying. EQUAL-PEAK OPTIMIZATION OF DYNAMIC VIBRATION ABSORBER WITH NEGATIVE STIFFNESS AND DELAY FEEDBACK CONTROL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(6): 1720-1732. doi: 10.6052/0459-1879-21-074
Citation: Dai Han, Zhao Yanying. EQUAL-PEAK OPTIMIZATION OF DYNAMIC VIBRATION ABSORBER WITH NEGATIVE STIFFNESS AND DELAY FEEDBACK CONTROL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(6): 1720-1732. doi: 10.6052/0459-1879-21-074

负刚度时滞反馈控制动力吸振器的等峰优化

doi: 10.6052/0459-1879-21-074
基金项目: 1)国家自然科学基金(12072140);江西省自然科学基金(20202ACBL201003)
详细信息
    作者简介:

    2)赵艳影, 教授, 主要研究方向: 结构振动与控制. E-mail: yanyingzhao@nchu.edu.cn

    通讯作者:

    赵艳影

  • 中图分类号: O328,TH213.3

EQUAL-PEAK OPTIMIZATION OF DYNAMIC VIBRATION ABSORBER WITH NEGATIVE STIFFNESS AND DELAY FEEDBACK CONTROL

  • 摘要: 相比于传统动力吸振器, 负刚度动力吸振器同时具有更好的减振能力和更宽的有效减振频带宽度, 为了进一步降低共振峰幅值, 在负刚度吸振器系统耦合时滞反馈控制. 对负刚度时滞反馈控制动力吸振器系统进行等峰优化设计, 优化设计的准则是:第一和第二共振峰的峰值相等; 同时兼顾两个目标, 一个目标是在优化时的最大共振峰幅值小于被动负刚度吸振器系统的反共振峰幅值, 另一目标是在优化时共振峰幅值与反共振峰幅值差小于被动吸振器系统. 接着, 通过设计和调节负刚度系数、吸振器阻尼系数和时滞反馈控制系数对控制系统进行等峰优化设计. 最后, 在降低幅值的同时, 分析结构参数对有效减振频带宽度的影响. 经过等峰优化之后, 选择本文的一组结构参数与两个典型的模型进行对比. 为了定量比较不同模型的降幅效果, 定义了减幅百分比, 研究发现在有效减振频带区间内减幅百分比超过40%以上. 结果表明, 通过等峰优化准则对结构参数进行优化设计和调节增益系数和时滞量, 共振峰幅值的减幅百分比也近似达到40%, 也可以调节增益系数和时滞量, 使得幅频响应曲线具有较宽的有效减振频带和较低的共振峰幅值与反共振峰幅值的差值.

     

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出版历程
  • 收稿日期:  2021-02-10
  • 刊出日期:  2021-06-01

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