Active control of beam structures with piezoelectric actuators and sensors:modeling and simulation

Abstract

The active damping of structures is an important emerging field. In thiscontext, it is necessary to be able to develop new control methods forflexible structures and simulate their effects. In order to be able to dealwith the optimization of active device locations, spillover and any other generalproblems linked to control and model reduction, a simple but sufficiently richmodel is very useful. This is the reason why this technical note deals with the modelingand simulation of the active vibration control of beam structures usingpiezoelectric actuators and sensors.In order to model beam structures equipped with piezoelectric devices, wedevelop a simple finite composite beam element, taking into account theproperties of piezoelectric elements. This model uses six mechanical degrees offreedom and four electric degrees of freedom. Then, a linear quadraticregulator method is used to compute the control, including the implementationof a state observer. Several simulations are presented.