Placement of piezoelectric laminate actuator for active structural acoustic control

The aim of this work is to investigate the problem of piezoelectric laminate placement. This problem is addressed in the case of modal identification and active control of plate like structures using piezoelectric laminates. The placement technique is based on the inspection of the controllability Grammian of the system expressed in a modal state-space coordinates. The controllability Grammian is able to quantify how structural modes are controllable with a set of predefined actuators. An initial finite element model or an experimental modal identification of the structure is required at the initial step. The procedure consists in making a selection of the smallest subset of actuators which gives a norm of the system transfer function as close as possible to the norm of the original full set. As the study context consists in noise reduction in buildings, the second part of this paper describes an application of this technique on a wooden shutter box in order to reduce the acoustic transmission towards the inner room.