Hopf bifurcation analysisfor a fin-stabilized projectile with course correction fuse
XING Bingnan,ZHANG Zhian,DU Zhonghua,LEI Xiaoyun
Key Laboratory of Intelligent Ammunition Technology, School of Mechanical Engineering,Nanjing University of Science and Technology, Nanjing 210094, China
Abstract:In order to analyze the reason of the unstability of coning motion of a two-dimensional fin-stabilized projectile with course correction fuse and improve its correction accuracy, a four dimensional nonlinear angular motion equation of the controlled projectile was established.After using the Matcont software to determine the bifurcation point of the system, the central manifold theory was used to transfer the system dimension, and the type of bifurcation point after reducing the system dimension was judged.Finally, a numerical simulation proved the correctness of the theoretical analysis method.On this basis, the influence of correction mechanism parameters on the stability of angular motion was analyzed.The results show that for ensuring the flight stability of the projectile and making a good aerodynamic layout, it should make the position of the correction mechanism close to the center of mass.
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