Vibration analysis and active control of nearly periodic two-span beams with piezoelectric actuator/sensor pairs

doi:10.1007/s10483-015-1912-6

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (3): 279-292.doi: https://doi.org/10.1007/s10483-015-1912-6

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Vibration analysis and active control of nearly periodic two-span beams with piezoelectric actuator/sensor pairs

Fengming LI^1,2, Zhiguang SONG²

1. College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China;
2. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China

收稿日期:2014-05-30 修回日期:2014-07-23 出版日期:2015-03-01 发布日期:2015-03-01
通讯作者: Fengming LI E-mail:fmli@bjut.edu.cn
基金资助:
Project supported by the National Basic Research Program of China (973 Program) (No. 2011CB711100) and the National Natural Science Foundation of China (Nos. 10672017 and 11172084)

Vibration analysis and active control of nearly periodic two-span beams with piezoelectric actuator/sensor pairs

Fengming LI^1,2, Zhiguang SONG²

1. College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China;
2. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China

Received:2014-05-30 Revised:2014-07-23 Online:2015-03-01 Published:2015-03-01
Contact: Fengming LI E-mail:fmli@bjut.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (973 Program) (No. 2011CB711100) and the National Natural Science Foundation of China (Nos. 10672017 and 11172084)

摘要/Abstract

摘要： The piezoelectric materials are used to investigate the active vibration control of ordered/disordered periodic two-span beams. The equation of motion of each sub-beam with piezoelectric patches is established based on Hamilton's principle with an assumed mode method. The velocity feedback control algorithm is used to design the controller. The free and forced vibration behaviors of the two-span beams with the piezoelectric actuators and sensors are analyzed. The vibration properties of the disordered two-span beams caused by misplacing the middle support are also researched. In addition, the effects of the length disorder degree on the vibration performances of the disordered beams are investigated. From the numerical results, it can be concluded that the disorder in the length of the periodic two-span beams will cause vibration localizations of the free and forced vibrations of the structure, and the vibration localization phenomenon will be more and more obvious when the length difference between the two sub-beams increases. Moreover, when the velocity feedback control is used, both the forced and the free vibrations will be suppressed. Meanwhile, the vibration behaviors of the two-span beam are tuned.

关键词: vibration localization, piezoelectric material, nearly periodic beam, active vibration control

Abstract: The piezoelectric materials are used to investigate the active vibration control of ordered/disordered periodic two-span beams. The equation of motion of each sub-beam with piezoelectric patches is established based on Hamilton's principle with an assumed mode method. The velocity feedback control algorithm is used to design the controller. The free and forced vibration behaviors of the two-span beams with the piezoelectric actuators and sensors are analyzed. The vibration properties of the disordered two-span beams caused by misplacing the middle support are also researched. In addition, the effects of the length disorder degree on the vibration performances of the disordered beams are investigated. From the numerical results, it can be concluded that the disorder in the length of the periodic two-span beams will cause vibration localizations of the free and forced vibrations of the structure, and the vibration localization phenomenon will be more and more obvious when the length difference between the two sub-beams increases. Moreover, when the velocity feedback control is used, both the forced and the free vibrations will be suppressed. Meanwhile, the vibration behaviors of the two-span beam are tuned.

Key words: vibration localization, nearly periodic beam, piezoelectric material, active vibration control

中图分类号:

O342

Fengming LI;Zhiguang SONG. Vibration analysis and active control of nearly periodic two-span beams with piezoelectric actuator/sensor pairs[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(3): 279-292.

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Vibration analysis and active control of nearly periodic two-span beams with piezoelectric actuator/sensor pairs

Vibration analysis and active control of nearly periodic two-span beams with piezoelectric actuator/sensor pairs

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