A modified receptance method for active control of a nonlinear aeroelastic system

The receptance method has been proved to be effective for active vibration control of linear systems, theoretically and experimentally. A remarkable advantage of this method is that it does not require any prior knowledge of the system matrices, which are typically obtained from the finite element method. In this paper, a modified receptance method is proposed for obtaining the time-varying receptances of a general nonlinear system; the method is then applied to a structurally nonlinear aeroelastic system for active flutter suppression. A two-dimensional aeroelastic model with a polynomial nonlinearity in the pitching stiffness is considered. The Runge-Kutta method is used for numerical simulations. The poles of the closed-loop system are assigned to improve the system stability; both fixed and varied poles cases are studied. The effects of poles values, weight coefficients in indicator function, and control limitations are discussed. Results show that the aforementioned parameters affect both the system response and the input of the control surface, and the modified receptance method is effective for active flutter suppression of the nonlinear aeroelastic system by rational pole assignments.