MODELING AND CONTROL OF ACOUSTIC STRUCTURE INTERACTION PROBLEMS VIA PIEZOCERAMIC ACTUATORS - 2-D NUMERICAL EXAMPLES

The modeling and active control of acoustic pressure in a 2-D cavity w ith a flexible boundary (a beam) is considered. Control is implemented in the model via piezoceramic patches on the beam, which are excited in a manner so as to produce pure bending moments. Approximation techn iques are discussed and, by writing the resulting system as an abstrac t Cauchy equation, the problem of reducing interior pressure fluctuati ons can be posed in the context of an LQR time domain state space form ulation. Examples illustrating the dynamic behavior of the coupled sys tem, as well as demonstrating the viability of the control method on a variety of problems with periodic forcing functions, are presented.