A finite-element model for piezoelectric composite laminates

A finite-element model based on the classical laminated plate theory is developed for the active vibration control of a composite plate containing distributed piezoelectric sensors and actuators. The formulation is derived from the variational principle. The piezoelectrics' mass and stiffness are taken into account in the present model. A simple negative velocity feedback control algorithm coupling the direct and converse piezoelectric effects is used to actively control the dynamic response of an integrated structure through a closed control loop. The static analysis and active vibration suppression of a cantilever composite plate are performed as a numerical example to verify the proposed model. The modal superposition technique and the Newmark- method are used in the numerical simulation to calculate the dynamic response of the laminated composite plate.

[1]  I Y Shen.  Bending and torsional vibration control of composite beams through intelligent constrained-layer damping treatments , 1995 .

[2]  E. Crawley,et al.  Use of piezoelectric actuators as elements of intelligent structures , 1987 .

[3]  Satya N. Atluri,et al.  Active control of nonlinear dynamic response of space-frames using piezo-electric actuators , 1990 .

[4]  H. F. Tiersten,et al.  Linear Piezoelectric Plate Vibrations , 1969 .

[5]  Ali H. Nayfeh,et al.  A refined nonlinear model of composite plates with integrated piezoelectric actuators and sensors , 1993 .

[6]  Fu-Kuo Chang,et al.  Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators , 1992 .

[7]  K. Chandrashekhara,et al.  Thermally induced vibration suppression of laminated plates with piezoelectric sensors and actuators , 1995 .

[8]  W. Hwang,et al.  Finite Element Modeling of Piezoelectric Sensors and Actuators , 1993 .

[9]  C. I. Tseng,et al.  Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems: A piezoelectric finite element approach , 1990 .

[10]  Satya N. Atluri,et al.  Effects of a Piezo-Actuator on a Finitely Deformed Beam Subjected to General Loading , 1989 .

[11]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[12]  K. Chandrashekhara,et al.  Active Vibration Control of Laminated Composite Plates Using Piezoelectric Devices: A Finite Element Approach , 1993 .