Effects of structural parameters on chaotic motion behavior of nonlinear flutter for a two dimensional wing

The chaotic motion of a nonlinear flutter system for a two dimensional wing is a complex nonlinear dynamic phenomenon. The effects of structural parameters on chaotic motion characteristics of the nonlinear flutter system were investigated to explore a control approach for chaotic motion of the nonlinear flutter system. The flutter motion equation of a two dimensional wing with a control surface was built and cubic rotating stiffness was assumed for the control surface. The bifurcation diagrams of the system were obtained with numerical calculations for different damping coefficients of the rotating DOF of the control surface and the pitching DOF of the wing. The results demonstrated that the chaotic motion characteristics are weakly affected by intensity of control stiffness nonlinearity, but the periodic windows in the chaotic motion area are strongly affected by damping coefficient; the periodic windows disappear when the damping coefficient decreases monotonously to a certain extent, and the critical flutter velocity decreases simultaneously; the periodic windows can be eliminated without reducing the critical flutter velocity by increasing the damping coefficient of the rotating DOF of the control surface while decreasing the damping coefficient of the pitching DOF of the wing.