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

• 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.
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