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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
引用本文: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[J]. 应用数学和力学, 2008, 29(4): 379-392. DOI: 10.3879/j.issn.1000-0887.2008.04.001
作者姓名:傅衣铭  阮建力
作者单位:湖南大学 力学与航空航天学院,长沙 410082
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.

关 键 词:[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]
文章编号:1000-0887(2008)04-0379-14
收稿时间:2007-07-21
修稿时间:2007-07-21

Nonlinear Active Control and Damage Detection of Piezoelectric Smart Laminated Plates With Damage
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. DOI: 10.3879/j.issn.1000-0887.2008.04.001
Authors:FU Yi-ming  RUAN Jian-li
Affiliation:College of Mechanics and Aerospace, Hunan University, Changsha 410082, P. R. China
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.
Keywords:
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