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XU Ya-lan, CHEN Jian-jun. RESEARCH ON VIBRATION CONTROL OF PIEZOELECTRIC FLEXIBLE STRUCTURES BASED ON SPATIAL NORMS[J]. Engineering Mechanics, 2013, 30(10): 1-4,13. DOI: 10.6052/j.issn.1000-4750.2012.06.0471
Citation: XU Ya-lan, CHEN Jian-jun. RESEARCH ON VIBRATION CONTROL OF PIEZOELECTRIC FLEXIBLE STRUCTURES BASED ON SPATIAL NORMS[J]. Engineering Mechanics, 2013, 30(10): 1-4,13. DOI: 10.6052/j.issn.1000-4750.2012.06.0471
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RESEARCH ON VIBRATION CONTROL OF PIEZOELECTRIC FLEXIBLE STRUCTURES BASED ON SPATIAL NORMS

  • School of Electronic & Mechanical Engineering, Xidian University, 02019;an 710071, China

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  • Received Date: June 29, 2012
  • Revised Date: September 04, 2012
    Graphical Abstract
    • Abstract
  • Using the definition of a spatial norm, the calculation formulas of modal spatial norms for structures are derived. In order to investigate the influence of the location of piezoelectric actuators on modeling dynamic equations and designing controllers for piezoelectric flexible structures, modal spatial norms, which serve as the measure of the contribution of modes to the dynamic response of a system varying with the location of piezoelectric actuators, are used to pick up the modes included in the reduction model. Based on the reduction model and compared with the traditional direct modes-truncation method, a dynamic output feedback H-infinity control law is designed to suppress the vibration due to external disturbances. Simulation results show that the contribution of vibration modes to the dynamic response of a system means the ability of actuators to control vibration modes, based on which the performance of a controller is improved.
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    • References (11)
  • [1]
    Narayanan S, Balamurugan V. Finite element modeling of piezolaminated smart structures for active vibration control with distributed sensors and actuators [J]. Journal of Sound and Vibration, 2003, 262(3): 529―562.
    [2]
    Giovanni Caruso, Sergio Galeani, Laura Menini. Active vibration control of an elastic plate using multiple piezoelectric sensors and actuators [J]. Simulation Modeling Practice and Theory, 2003, 11(5/6): 403―419.
    [3]
    Xu Yalan, Chen Jianjun. Modal-based model reduction and vibration control for uncertain piezoelectric flexible structures [J]. Structural Engineering and Mechanics, 2008, 29(5): 489―504.
    [4]
    张京军, 曹丽雅, 袁伟泽. 压电智能结构振动的模糊控制及仿真实现[J]. 工程力学, 2009, 26(10): 228―232.Zhang Jingjun, Cao Liya, Yuan Weize. Fuzzy control and simulation of piezoelectric intelligent structure vibration [J]. Engineering Mechanics, 2009, 26(10): 228―232. (in Chinese)
    [5]
    Friswell M I, Garvey S D, Penny J E T. Model reduction using dynamic and iterated IRS techniques [J]. Journal of sound and Vibration, 1995, 186(2): 311―323.
    [6]
    张建华, 刘建军, 张庆国. 基于平衡降阶法的结构振动模态预测控制[J]. 工程力学, 2006, 23(5): 20―23.Zhang Jianhua, Liu Jianjun, Zhang Qingguo. Modal predictive control of structural vibration based on balanced reduction [J]. Engineering Mechanics, 2006, 23(5): 20―23. (in Chinese)
    [7]
    Moheimani S O R. Minimizing the out-of bandwidth dynamics in the model of reverberant system: Implication on Spatial control [J]. Automatica, 2000, 36(7): 1023―1033.
    [8]
    Xie Yong, Zhao Tong, Cai Guoping. Model reduction and active control for a flexible plate [J]. Acta Mechanica Solida Sinica, 2011, 24(5): 467―476.
    [9]
    徐亚兰, 陈建军. 模型不确定柔性结构的多目标振动控制[J]. 应用力学学报, 2006, 3(23): 377―382.Xu Yalan, Chen Jianjun. Multiobjective vibration control for uncertain flexible structures [J]. Chinese Journal of Applied Mechanics, 2006, 3(23): 377―382. (in Chinese)
    [10]
    Samuel da silva, Vicente lopes junio. Design of a control system using linear matrix inequalities for the active vibration control of a plate [J]. Journal of Intelligent Material Systems and Structures, 2006, 17(1): 81―93.
    [11]
    徐洋, 姜洪洲, 叶正茂. 控制在AMD Benchmark结构主动控制中的应用研究[J]. 振动与冲击, 2005, 24(5): 15―22. Xu Yang, Jiang Hongzhou, Ye Zhengmao. Research on the application of control in the AMD active structure control Benchmark problem [J]. Journal of Vibration and Shock, 2005, 24(5): 15―22. (in Chinese)
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