Research About The Regular Pattern Of Nonlinear Angular Movement Of Projectile

With the emergence of new types of projectile and the expansion of the combat missions, Many projectile will be in flight status which has a high angle of attack and nonlinear aerodynamic. In order to analyze the missiles flight stability which was influenced by the nonlinear aerodynamic, Establish a nonlinear angular motion model in the second bomb axis coordinate system and analyze the motion stability.Research of regular pattern of projectile is in two aspects, theoretical analysis and numerical simulation. First, according to the nonlinear aerodynamic algebraic model, Establish a projectile angular motion equation with complex angle of attack in the second bomb axis coordinate system. Bifurcation analysis method to discuss the impact of different types of aerodynamic for projectile movement stability is used separately. Then according to the angle of attack movement equation, programme and calculate the projectile steady state under different aerodynamic conditions with Runge-Kutta numerical method. The results show that Geometric nonlinearity(H*) has little effect for the stability of the projectile equilibrium state. When H0>0, projectile only do movements of the zero angle of attack. For non-rotating Projectile, when H0<0and aerodynamic parameters (H2,M*,M2) meet a range of specific conditions, projectile stands a chance to produce a limit cone movement or a limit plane motion. For a high-speed spin-stabilized projectile, Mainly analysis the impact on the the projectile movement stability which Magnus moment generates. The results show that only when nonlinear Magnus moment meets some certain conditions, Rolling projectile will produce a stable limit conical motion. Aerodynamic parameters and the projectile body parameters mainly decide the size of amplitude of the limit coning motion and the speed of angle of attack convergence. So, if we design aerodynamic parameters and start condition of launch legitimately, then we can effectively inhibit the limit cone movement of projectile and the limit plane movement of projectile.