Dynamics and active bending vibration control of turbomachinery rotating blades featuring temperature-dependent material properties

The problem of bending vibration, dynamic response, and actively dynamic control of rotating beams of nonuniform cross section, operating in a temperature field and impacted by a blast, is addressed. The structural model is in the form of a thin-walled beam whose material properties are considered to be temperature dependent. The implemented vibration control methodology is based on the piezoelectric strain actuation. In this context, a system of piezo actuators bonded to the structure surface that are spread over the entire span of the beam and actuated out of phase is considered. As a result, a control bending moment is piezoelectrically induced at the beam tip. In the context of this paper, to control the free and forced vibration, velocity feedback control is implemented. The considered control methodology is also useful toward counteracting the deleterious effects induced by the thermal degradation of material properties of blade structure. Results highlighting the effects of the blade taper on bending natural frequencies, as well as of the temperature and time-dependent external excitation on the open/closed-loop bending dynamic response are presented, and pertinent conclusions are drawn.