时滞速度反馈作用下弹性梁的主共振分析

彭剑; 张改; 孙测世

doi:10.21656/1000-0887.370083

时滞速度反馈作用下弹性梁的主共振分析

doi: 10.21656/1000-0887.370083

¹湖南科技大学土木工程学院, 湖南湘潭 411201;²重庆交通大学土木工程学院, 重庆 400074

基金项目: 国家自然科学基金(11402085)；国家重点基础研究发展计划(973计划)(2015CB057702)；湖南省教育厅资助项目(14C0464)；湖南省优秀博士论文资助项目(YB2015B035)

详细信息

作者简介:
彭剑（1982—），男，讲师，博士，硕士生导师(通讯作者. E-mail: pengjian@hnu.edu.cn).

中图分类号: O322; TB123
计量
- 文章访问数: 808
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- 被引次数: 0
出版历程
- 收稿日期: 2016-03-22
- 修回日期: 2016-04-19
- 刊出日期: 2016-11-15

Primary Resonance of Elastic Beams Under Time-Delay Velocity Feedback Control

¹School of Civil Engineering, Hunan University of Science and Technology, Xiangtan, Hunan 411201, P.R.China;²College of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Funds: The National Basic Research Program of China (973 Program)(2015CB057702)

摘要

摘要: 采用时滞速度反馈控制策略对轴力作用下的弹性梁进行振动控制.根据Newton第二定律建立压电耦合弹性梁的非线性振动控制模型,运用直接法得到时滞反馈作用下弹性梁主共振的一阶近似解,得出系统响应与控制参数的关系.结果表明,主共振的响应存在多解和跳跃现象,调节控制增益和时滞值可以有效抑制大幅振动.
- 时滞反馈 /
- 主共振 /
- 弹性梁 /
- 轴力 /
- 直接法
Abstract: The vibration control of the elastic beam subjected to axial force was investigated with the time-delay velocity feedback control method. A nonlinear control model for the piezoelectric coupling elastic beam was established according to Newton’s second law. The direct method was employed to obtain the 1st-order approximate response of the primary resonance of the elastic beam with time-delay velocity feedback. Then the relationship between the system response and the control parameters was given. The results show that, multiple solutions and jumping phenomena exist in the primary resonance response, and the large-amplitude vibration can be effectively suppressed through regulation of the control gain and the time delay.
- time-delay feedback /
- primary resonance /
- elastic beam /
- axial force /
- direct method

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参考文献(18)

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