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

PENG Jian; ZHANG Gai; SUN Ce-shi

doi:10.21656/1000-0887.370083

Volume 37 Issue 11

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PENG Jian, ZHANG Gai, SUN Ce-shi. Primary Resonance of Elastic Beams Under Time-Delay Velocity Feedback Control[J]. Applied Mathematics and Mechanics, 2016, 37(11): 1208-1216. doi: 10.21656/1000-0887.370083

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

doi: 10.21656/1000-0887.370083

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)

Received Date: 2016-03-22
Rev Recd Date: 2016-04-19
Publish Date: 2016-11-15

Abstract

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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References(18)

References

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