Nonlinear Control of a Rotating Smart Beam

André Fenili¹

¹ Federal University of ABC

doi:10.20906/CPS/CILAMCE2017-0230

Resumo

In this paper a piezoelectric actuator is used for position and vibration control of a nonlinear rotating system comprising a rigid body hub and a flexible beam-like appendage. The nonlinear control technique named SDRE is applied to the piezoelectric actuator and to the external torque acting in the rotating axis. The nonlinear integro-partial differential governing equations of motion for the system are derived through the Extended Hamilton's Principle. The external torque and the distributed bending moment from the piezoelectric actuator along the beam length is added to the governing equations of motion via work done by external forces. The length of the piezo is a 25% of the beam length. Weak nonlinearities and strong nonlinearities are considered in the mathematical model in order to verify the applicability of the nonlinear control technique investigated here.

Palavras-chave: piezoelectric ceramic actuators; active vibration control; smart structures; nonlinear control; SDRE control