关键词: 兵器科学与技术, 非线性角运动, 运动稳定性, Hopf分岔

Abstract: In order to analyze the angular motion stability of projectile, the equations of the nonlinear angular motion are derived, and the Hopf bifurcation analysis method of the nonlinear angular motion of projectile is given. Taking a rocket plateau test as an example, the air density is selected as the bifurcation parameter, and the Hurwitz criterion is used to judge the stability of the system. The bifurcation point is determined. Center manifold theory is proposed to reduce the system dimension, and then a three-order normal form of Hopf bifurcation is calculated by plotting the bifurcation diagram. In addition, the effect of the bifurcation parameter on the swing of the limit cycle is analyzed. The numerical simulations show that the bifurcation analysis method can be used to judge the stability of the system correctly and analyze the motion of limit cycle in the system accurately.

Key words: ordnance science and technology, nonlinear angular motion, motion stability, Hopf bifurcation