Studies on the Active Control and Placement of Piezoelectric in Piezoelectric Cantilever Beam

Abstract:

The active vibration control of the flexible cantilever beam with PZT actuators was studied in this paper, and the principle and the method of the active vibration control were analyzed. First, using the balanced reduction method to reduce the model was carried out; the reduced model would be controlled. The placement of the piezoelectric actuators was utmost important, the optimization arrangement of the piezoelectric actuators was studied in this paper basing on the modal influential matrix of the piezoelectric actuators in order to make it to maximize its effectiveness to realize active control. Next step the LQG/LTR method is used to control the structure, then the LQR method was adopted to control the beam, and the two methods were compared. The results show that the LQG/LTR method to control the beam will realize effective control if only the treatment is adequate, when the acoustic noise and Interference were added to the system.

• Periodical: Advanced Materials Research (Volume 940)
• Pages: 391-395
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.940.391
• Online since: June 2014
• Authors: Jing Guo*, Xiao Xue Lian, Qing Zhao
• Keywords: Flexible Structures, LQG, Piezoelectric Actuator, Vibration Control

References

[1] Huang Wenhu, Wang Xinqing, Zhang Jinghui, et al. Some advances in the vibration control of aerospace flexible structures [J]. Advances in Mechanics, 1997, 27 (1) : 5-18 (in Chinese).

[2] Bailey, T., Hubbard J. E., Distributed Piezoelectric-Polymer active vibration control of a cantilever beam. Guidant and control, 1985, 8(5): pp.605-611.

DOI: 10.2514/3.20029

[3] Crawley, E. F. and Luis, J. De., Use of piezoelectric actuators as elements of intelligent structures, AIAA Journal, 1987, 25(5): 1373-1385.

DOI: 10.2514/3.9792

[4] Gu Zhongquan, Ma Kougen, Chen Weidong. Active vibration control [M]. Beijing: National Defense Industry Press, 1997 (in Chinese).

[5] Hwang, W. S. and Park, H. C., Finite Element Modeling of Piezoelectric Sensors and Actuators. AIAA Journal, 1993, 31(5): 930-937.

DOI: 10.2514/3.11707

[6] ZHU Denglin, YU Jie. Active vibration control of piezoelectric smart cantilever beam [J]. Journal of Hehai University Changzhou , 2005, 19(4): 1-4.

[7] Gregory, C. Z., Jr., Reduction of Large Flexible Spacecraft Models Using Internal Balancing Theory. Journal of Guidance, Control, and Dynamics, 1984, 7(6): 725-732.

DOI: 10.2514/3.19919

[8] SUN Dongchang, ZHANG Honghua, WU Hongxin, et al. Optimal placement and sizing of piezo actuators and experiment in vibration control of smart beams [J]. Chinese Space Science and Technology, 1999(6): 46-52.

[9] WANG Xinmin, LI Yong. Integrated optimal design of piezoelectric intelligent structures and feedback control [J]. Chinese Space Science and Technology, 2007, 10(5): 1-7.