Optimal Vibration Control of a Rotating Shearable Blade Using Distributed Piezoelectric Sensing and Actuation

摘要

A rotating composite blade, modeled as a box-beam that incorporates a numer of non-classical effects .ch as transverse shear traction free boundaries and restrained warping, is considered. The blade consists of host orthotropic (graphite-epoxy laminate) with surface embedded and spanwise distributed transversely isotropic (PZT-4) sensors and actuators. The total current output from all sensors is distributed to the actuators after suitable weighting. A modified Galerkin method that uses only admissible functions is considered, and the optimal control problem is studied via the classical and instantaneous LQR methods. The effect of transverse shear, ply angle, fulfilment of traction free boundary conditions, piezopatch location and size, and weighting matrices in the performance index on the controlled blade-tip response is obtained for various excitations, and pertinent conclusions are outlined.