Bifurcation Analysis of Trailing Edge Angle for Aeroelastic System

An aeroelastic system combines several complex theories of physics. These principles will cause instability situations or be interacted each other. If this behavior occurs, it will result in the fatigue problems or structural damages on the wings of aircrafts. In order to avoid these conditions to occur, this paper studies the nonlinear dynamic behaviors of aeroelastic system under specific operating conditions and employs differential transformation method (DTM) to decrease the calculation errors. Also, the bifurcation diagram, Poincare map, and power spectra are used to analyze the numerical results. The results reveal a complex dynamic behavior comprising periodic, sub-harmonic, and nonperiodic responses of the system. Especially, the nonperiodic motion occurs at the interval of ±180° for angle of trailing edge. The proposed method provides an effective means of gaining insights into the nonlinear dynamics of aeroelastic systems.