Multi-objective optimization of piezoelectric sensor and actuator placement and sizing for active vibration control

Abstract

Piezoelectric sensors and actuators have wide range of applications in suppression of vibrations and shape control. Design of thin-walled composite structures with integrated piezoelectric sensors and actuators is complex process, and it requires taking into account various design variables. The placement and sizing of the actuators and sensors are based on control effectiveness and observability, but these piezoelectric patches affect the host structure’s mass and original dynamics properties and in the case of failure of active system, this change of dynamics properties becomes significant. This paper deals with optimal placement and sizing of piezoelectric sensor and actuator on composite beam for maximum active vibration control effectiveness and observability considering residual modes to limit spill-over effects with minimal change in original system dynamics. The problem is formulated using finite element method (FEM) based on third-order shear deformation theory (TSDT). Particle swarm optimization method is used to find optimal configuration. Numerical example is presented for cantilever beam.