Optimal vibration control of a rotating composite beam with distributed piezoelectric sensing and actuation

摘要

A rotating composite blade, modeled as a box-beam with transverse shear flexibility, shear-tractionless bounding faces and restrained warping, and subjected to a time dependent pressure pulse is considered. It comprises an orthotropic (graphite-epoxy laminate) host structure with surface embedded and spanwise distributed transversely isotropic (PZT-4) sensors and actuators. The total current output from the sensors is distributed to the actuators after suitable weighting. A modified Galerkin method using only admissible functions is considered, and the optimal control problem is studied via the classical and instantaneous LQR methods. Results reveal that structural tailoring can yield a lower steady-state response at the expense of increased settling time. Increasing the patch length beyond a limit proves ineffective. The instantaneous LQR control algorithm provides a reduced response, as does the present model involving through-thickness shear strain variation. Studies regarding the effect of location and weighting of piezopatches on the controlled response are presented.