FU Yi-ming, RUAN Jian-li. Nonlinear Active Control and Damage Detection of Piezoelectric Smart Laminated Plates With Damage[J]. Applied Mathematics and Mechanics, 2008, 29(4): 379-392.
Citation: FU Yi-ming, RUAN Jian-li. Nonlinear Active Control and Damage Detection of Piezoelectric Smart Laminated Plates With Damage[J]. Applied Mathematics and Mechanics, 2008, 29(4): 379-392.

Nonlinear Active Control and Damage Detection of Piezoelectric Smart Laminated Plates With Damage

  • Received Date: 2007-07-21
  • Rev Recd Date: 2008-01-29
  • Publish Date: 2008-04-15
  • Based on Hamilton's principle,the higher-order shear deformation plate theory,von Kàrmàn type geometrically nonlinear strain-displacement relations and the strain energy equivalence theory,considering the mass and stiffness of the piezoelectric layers and the damage effect of the composite layers,the nonlinear dynamic equations of the piezoelectric smart laminated plates with damage are derived.A negative velocity feedback control algorithm coupling the direct and converse piezoelectric effects was used to realize the active control and damage detection of the piezoelectric smart laminated plates through a closed control loop.Numerical examples for simply supported rectangular laminated plates with immovable edges were presented.And the influences of locations of the piezoelectric layers on the vibration control were investigated.Also,the effects of the degree and location of the damage on the sensor output voltage were discussed.And a way of damage detection is introduced.
  • loading
  • [1]
    Liu G R, Peng X Q, Lam K Y,et al.Vibration control simulation of laminated composite plates with integrated piezoelectrics[J].Journal of Sound and Vibration,1999,220(5):827-846. doi: 10.1006/jsvi.1998.1970
    [2]
    王忠东,陈塑寰,杨晓东.集成结构振动主动控制和抑制[J].应用数学和力学,1999,20(2):161-168.
    [3]
    Chen C Q, Wang X M, Shen Y P.Finite element approach of vibration control using self-sensing piezoelectric actuators[J].Computers & Structures,1996,60(3):505-512.
    [4]
    尹林,王晓明,沈亚鹏.用压电元件实现复合材料层合板振动控制的数值分析[J].振动工程学报,1996,9(2):107-115.
    [5]
    Peng X Q, Lam K Y, Liu G R. Active vibration control of composite beams with piezoelectrics: a finite element model with third order theory[J].Journal of Sound and Vibration,1998,209(4):635-650. doi: 10.1006/jsvi.1997.1249
    [6]
    SHEN Sheng-ping, KUANG Zhen-bang. An active control model of laminated piezothermoelastic plate[J].International Journal of Solids and Structures,1999,36(13):1925-1947. doi: 10.1016/S0020-7683(98)00068-7
    [7]
    Shi G, Atluri S N. Active control of nonlinear dynamic response of spaceframes using piezoelectric actuators[J].Computers and Structures,1990,34(4):549-564. doi: 10.1016/0045-7949(90)90233-R
    [8]
    Pai P F, Nayfeh A H, Oh K,et al.A refined nonlinear model of composite plates with integrated piezoelectric actuators and sensors[J].International Journal of Solids and Structures,1993,30(12):1603-1630. doi: 10.1016/0020-7683(93)90193-B
    [9]
    Gao J X, Shen Y P.Active control of geometrically nonlinear transient vibration of composite plates with piezoelectric actuator[J].Journal of Sound and Vibration,2003,264(4):911-928. doi: 10.1016/S0022-460X(02)01189-6
    [10]
    Reddy J N.A simple higher-order theory for laminated composite plates[J].ASME,J Appl Mech,1984,51(4):745-752. doi: 10.1115/1.3167719
    [11]
    Mitchell J A,Reddy J N. A refined hybrid plate theory for composite laminates with piezoelectric laminate[J].International Journal of Solids and Structures,1996,32(16):2345-2367.
    [12]
    Kachanov L M.Introduction to Continuum Damage Mechanics[M].Dordrecht: Martinus Nijhoff Publishers,1986.
    [13]
    Reddy J N. On laminated composite plates with integrated sensors and actuators[J].Engineering Structures,1999,21(7):568-593. doi: 10.1016/S0141-0296(97)00212-5
    [14]
    Dosch J J, Inman D J, Garcia E. A self-sensing piezoelectric actuator for collocated control[J].Journal of Intelligent Material Systems and Structures,1992,3:166-185. doi: 10.1177/1045389X9200300109
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2851) PDF downloads(622) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return