Aeroelastic analysis and active control of one-dimensional acoustic black hole structures in supersonic airflow

Abstract

In this paper, the aeroelastic characteristic and active control of one-dimensional acoustic black hole structures in supersonic airflow are analyzed. Utilizing Hamilton's principle, the equation of motion of the one-dimensional acoustic black hole (ABH) structures in supersonic airflow with attached piezoelectric elements is established. The first-order piston theory is used to simulate the aerodynamic pressure of the composites, and the controller is designed based on speed feedback and proportional feedback algorithms. Through numerical simulations, the variation of the natural frequency concerning the aerodynamic pressure is carried out studies to determine the flutter point of the system. Besides, the influences of piezoelectric actuators and sensors on the aeroelastic flutters of one-dimensional ABH structures are analyzed. Results show that the velocity negative feedback can improve the critical pneumatic pressure of the system, thereby increasing the aerodynamic elastic stability of the composite structure. The kinetic and strain energies of the proposed system varied with the different feedback gains are also investigated. We found that the application of velocity negative feedback can effectively suppress the vibration of the proposed system, whereas, there are no apparent effects on the dynamics for varying the proportional feedback.