Flapwise vibration control of a rotating blade

In this research, the vibration of a rotating functionally graded carbon nanotube reinforced composite (FG-CNTRC) blade is studied and an active controller scheme is applied to damp these vibrations. The composite blade has been reinforce by single walled carbon nanotubes. The material properties of the FG-CNTRC blade are assumed to be graded in the thickness direction of the beam. These properties have been estimated through the rule of mixture. The blade rotates with a constant angular velocity. The piezoelectric layers are attached to both side of the blade as sensors and actuators. To simulate the system, the bale is considered as an Euler-Bernoulli beam. Based on the Euler-Bernoulli beam theory and Rayleigh-Ritz method, the governing equations of motion are derived. An inverse dynamics control scheme is applied to system to suppress the induced vibrations of the blade. Finally the system is simulated and the results are presented for different angular speed proportion, hub radius ratio, and length to thickness ratio of the rotating composite blade.