Piecewise linear quadratic programming adaptive vibration control of active constrained layered damping beam

被引：0
作者：
School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou [1 ]
730070, China
机构：
[1] School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou
来源：
Jixie Gongcheng Xuebao | / 9卷 / 104-111期
关键词：
Active constrained layered damping; Piezoelectricity; Self-adaptive; Stability; Vibration reduction;
D O I：
10.3901/JME.2015.09.104
中图分类号：
学科分类号：
摘要：
In order to improve the efficiency and stability of the active constrained layered damping beam, the dynamic model of a constrained damping piezoelectric beam is established based on the energy method and the finite element method. The reduced system model is achieved by use of the Ritz method. According to the characteristics of the model, an acceleration feedback is applied to suppress the vibration in a second order pattern and the Lyapunov equation of control system is proved to be stable. Based on these, a kind of piecewise linear quadratic programming (PLQR) adaptive control method is put forward. By analyzing transient response and frequency response of simply supported beam and the control voltage in different control ways and with various initial frequencies, it is shown that the control gain and compensation frequency directly influence the stability and convergence speed of the vibration control. PLQR adaptive control can attenuate the system vibration faster than the linear quadratic programming (LQR) and the control of constant gain and frequency. Compared with passive constrained damping treatment, the adaptive transformation of the midpoint amplitude and control voltage is most obvious near the natural frequency and makes damping effect better. ©2015 Journal of Mechanical Engineering
引用
收藏
页码：104 / 111
页数：7
相关论文
共 17 条
  • [1] Balamurugan V., Narayanan S., Active-passive hybrid damping in beams with enhanced smart constrained layer treatment, Engineering Structures, 24, pp. 355-363, (2002)
  • [2] Kumar S., Sehgal R., Kumar R., Active vibration control of beams by combining precompressed layer damping and ACLD treatment: Theory and experimental implementation, Trans. of the ASME, Journal of Vibration and Acoustics, 133, (2011)
  • [3] Sahin M., Aridogan U., Performance evaluation of piezoelectric sensor/actuator on active vibration control of a smart beam, Proc. IMechE Part I: J. Systems and Control Engineering, 225, pp. 533-547, (2011)
  • [4] Zhu D., Lu R., Yu J., Integrated optimal design of the PZT position, size and control of smart cantilever beam, Journal of Mechanical Engineering, 45, 2, pp. 262-267, (2009)
  • [5] Duffy K.P., Choi B.B., Andrew J.P., Et al., Active piezoelectric vibration control of subscale composite fan blades, Trans. of ASME, Journal of Engineering for Gas Turbines and Power, 135, (2013)
  • [6] Panda S., Ray M.C., Active damping of nonlinear vibrations of functionally graded laminated composite plates using vertically/obliquely reinforced 1-3 piezoelectric composite, Trans. of ASME, Journal of Vibration and Acoustics, 134, (2012)
  • [7] Li L., Song G., Ou J., Adaptive fuzzy sliding mode based active vibration control of a smart beam with mass uncertainty, Structure Control and Health Monitoring, 18, pp. 40-52, (2011)
  • [8] Qiu Z., Active vibration control for flexible smart structure based on acceleration feedback, Chinese Journal of Mechanical Engineering, 44, 3, pp. 143-151, (2008)
  • [9] Qian Z., Huang W., Zhu D., The numerical analysis of active suppressing plate, Engineering Mechanics, 17, 2, pp. 58-65, (2000)
  • [10] Shi Y., Hua H., Sol H., The finite element analysis and experimental study of beams with active constrained layer damping treatments, Journal of Sound and Vibration, 278, pp. 343-363, (2004)
12