26 July 2004 An integral equation approach applied to the piezo patch vibration control of beams with Kelvin-Voigt damping
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Abstract
The Euler-Bernoulli model of transverse vibration of a cantilever beam is extended to include strain rate (Kelvin-Voigt) damping to study active vibration control under internal damping. A piezo patch sensor is bonded onto the top of the beam, while an actuator patch is bonded onto the bottom of the beam. Displacement and velocity feedback are considered as the control mechanisms. The resulting partial differential equation is solved using an integral equation approach and investigated for control effectiveness in terms of changes in the natural frequencies and damping ratios for different gains, damping coefficients, and patch locations. Results from the integral equation approach for patch sizes extended to the boundary are compared to results of the boundary control method.
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Ozcan Kayacik, John C. Bruch, James M. Sloss, Sarp Adali, Ibrahim S. Sadek, "An integral equation approach applied to the piezo patch vibration control of beams with Kelvin-Voigt damping", Proc. SPIE 5383, Smart Structures and Materials 2004: Modeling, Signal Processing, and Control, (26 July 2004); doi: 10.1117/12.538532; https://doi.org/10.1117/12.538532
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KEYWORDS
Actuators

Sensors

Feedback control

Vibration control

Ferroelectric polymers

Electrodes

Neodymium

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