多输入时滞反馈控制下的斜拉梁主共振响应
作者:
作者单位:

湖南科技大学 土木工程学院,湘潭 411201

作者简介:

E-mail: pengjian@hnu.edu.cnE-mail: pengjian@hnu.edu.cn

通讯作者:

E-mail: pengjian@hnu.edu.cn

基金项目:

湖南省教育厅资助项目(19B192)和湖南省研究生科研创新项目资助(CX20190800).


PRIMARY RESONANCE RESPONSE OF CABLE-STAYED BEAM UNDER MULTI-INPUT TIME-DELAYED FEEDBACK CONTROL
Author:
Affiliation:

School of Civil Engineering, Hunan University of Science and Technology, Xiangtan 411201,China

Fund Project:

The project supprted by the Scientific Research Fund of Hunan Provincial Education Department (19B192) and the Hunan Postgraduate Research and Innovation Project (CX20190800)

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    摘要:

    研究了多输入时滞反馈控制作用下斜拉梁主共振问题.采用多尺度法,推导了位移时滞和速度时滞反馈控制作用下斜拉梁非线性主共振的解析解,分析了主共振响应随参数变化的规律,控制参数时滞和控制增益对系统非线性主共振响应的影响.结果表明:合理地调整时滞值、控制增益可以提高振动控制的效率,拓宽减振频率范围,且在参数的调节中时滞较控制增益对减振更为有效.

    Abstract:

    The primary resonance responses of cable-stayed beam under multi-input time-delay feedback control were studied. Using the multi-scale method, the analytical solution of the nonlinear primary resonance of the cable-stayed beam under multi-input time-delay feedback control was derived. The results show that reasonable adjustment of time delay value and control gain can improve the efficiency of vibration control and widen the frequency range of vibration reduction. And adjusting the time delay is more effective than the control gain for damping vibration.

    表 2 斜拉梁的时滞反馈控制减振率Table 2 The damping rate of the vibration control of the cable-stayed beam with time delay feedback
    表 1 梁、索的参数Table 1 Parameters of beam and cable
    图1 Fig.1 Diagram of vibration control model of cable-stayed beam
    图2 斜拉梁主共振响应峰值和临界激励幅值曲线Fig.2 Peak resonance amplitude and critical excitation amplitude curve of cable-stayed beam
    图3 时滞值和控制增益对幅频曲线的影响Fig.3 The influence of time-delay value and control gain with the amplitude-frequency curve
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唐艺玮,彭剑,符翔,童俊辉.多输入时滞反馈控制下的斜拉梁主共振响应[J].动力学与控制学报,2020,18(5):92~96; Tang Yiwei, Peng Jian, Fu Xiang, Tong Junhui. PRIMARY RESONANCE RESPONSE OF CABLE-STAYED BEAM UNDER MULTI-INPUT TIME-DELAYED FEEDBACK CONTROL[J]. Journal of Dynamics and Control,2020,18(5):92-96.

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  • 收稿日期:2019-12-30
  • 最后修改日期:2020-05-04
  • 录用日期:2020-09-29
  • 在线发布日期: 2020-11-24
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