具损伤压电智能层合板的非线性主动控制和损伤监测

傅衣铭; 阮建力

具损伤压电智能层合板的非线性主动控制和损伤监测

湖南大学力学与航空航天学院,长沙 410082

基金项目: 国家自然科学基金资助项目(10572049)

详细信息

作者简介:
傅衣铭(1945- ),男,湖南湘潭人,教授,博导(联系人.Tel:+86-731-8822330;E-mail:fym_2581@hnu.cn).

中图分类号: TP13；O346.5
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出版历程
- 收稿日期: 2007-07-21
- 修回日期: 2008-01-29
- 刊出日期: 2008-04-15

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

College of Mechanics and Aerospace, Hunan University, Changsha 410082, P. R. China

摘要

摘要: 基于Hamilton原理、高阶剪切变形板理论、von Krmn型几何非线性应变-位移关系以及应变能等效原理，考虑压电层的质量和刚度及复合材料层内的损伤效应，建立了具损伤压电智能层合板的非线性运动方程．采用耦合正、逆压电效应的负速度反馈控制原理，形成闭环控制回路，实现了对压电智能层合板的主动控制和损伤监测．数值计算中，以四边简支面内不可动的层合矩形板为例，讨论了压电层位置对振动控制的影响，以及损伤程度和损伤位置对传感层输出电压的影响，提出一种损伤监测的方法．
- [JP2]压电智能层合板 /
- 非线性振动 /
- 损伤效应 /
- 压电效应 /
- 主动控制 /
- 损伤监测[JP]
Abstract: 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.
- piezoelectric smart laminated plates /
- nonlinear vibration /
- damage effect /
- piezoelectric effect /
- active control /
- damage detection

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参考文献(14)

[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.
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[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.
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具损伤压电智能层合板的非线性主动控制和损伤监测

作者简介:
傅衣铭(1945- ),男,湖南湘潭人,教授,博导(联系人.Tel:+86-731-8822330;E-mail:fym_2581@hnu.cn).

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

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留言板

具损伤压电智能层合板的非线性主动控制和损伤监测

作者简介: 傅衣铭(1945- ),男,湖南湘潭人,教授,博导(联系人.Tel:+86-731-8822330;E-mail:fym_2581@hnu.cn).

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出版历程

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

计量

出版历程

目录

作者简介:
傅衣铭(1945- ),男,湖南湘潭人,教授,博导(联系人.Tel:+86-731-8822330;E-mail:fym_2581@hnu.cn).