Dynamics and saturation control of rotating composite beam with embedded nonlinear piezoelectric actuator

Abstract

In this research we consider a saturation adaptive control strategy to suppress vibrations of a system consisting of a rotating rigid hub and a thin-walled composite blade with an embedded piezoelectric active element. The adopted mathematical model of the beam considers non-classical effects like a circumferentially asymmetric stiffness lamination scheme that result in strong mutual coupling of the bending-twisting deformations as well as a higher order piezoceramic constitutive relation. The discussed structure has been investigated for possible levels of original system simplifications starting from the fully linearised one up-to the control applied to the nonlinear structure performing the full rotation. Obtained results of numerical simulations prove the applied nonlinear saturation control to be the robust and effective method for beam vibration suppression in near-by resonance zones for a non-rotating as well as rotating structures. It is shown that vibration of the beam can be suppressed to similar levels independently of the model simplification degree presuming the condition of proper controller tuning is preserved. However, significant differences in the width of vibration suppression zones are observed for studied subcases. Moreover, the analysis of the system response sensitivity to feedback and control gains is discussed.