双旋弹非线性角运动特性分析  

Nonlinear Angular Motion Analysis on Dual-spin Projectile

作　　者：李佳讯 沈元川 贾振岳 于剑桥[1] LI Jiaxun;SHEN Yuanchuan;JIA Zhenyue;YU Jianqiao(Beijing Institute of Technology,Beijing 100081,China;Beijing Institute of Electronic System Engineering,Beijing 100854,China)

机构地区：[1]北京理工大学,北京100081 [2]北京电子工程总体研究所,北京100854

出　　处：《弹箭与制导学报》2021年第1期1-7,共7页Journal of Projectiles,Rockets,Missiles and Guidance

基　　金：国家自然科学基金(11532002)资助。

摘　　要：为分析双旋弹运动稳定性,对双旋弹非线性角运动特性进行研究,建立了双旋弹复攻角运动方程,在振幅平面上分析了可能存在的平衡状态,给出了双旋弹在气动非线性条件下产生稳定圆锥运动的必要条件。给出了双旋弹动态失稳的边界条件,确定了在临界点处角运动产生的分岔现象,通过对约化方程的分析,得到了平衡状态在分岔点附近的运动特性。结果表明,三次方静力矩会导致双旋弹产生不衰减的圆锥运动,头部侧向力会引起双旋弹动态失稳。The research on nonlinear angular motion of the dual-spin projectile is carried out to analyze the flight stability.A complex angle of attack motion equation is established,and the possible equilibrium state of the dual-spin projectile is obtained.Then the necessary condition of the stable conical motion under aerodynamic nonlinearity is provided.On the other hand,the boundary conditions of dynamic instability for dual-spin projectile are achieved,and the bifurcation characteristics are identified at the bifurcation point.Further,the equilibrium characteristics of the nonlinear system around the bifurcation point are discussed through the analysis of the reduced equation.The results show that the cubic nonlinear static moment may cause unattenuated conical motion and the lateral force of the head will cause dynamic instability of the dual-spin projectile.

关 键 词：双旋弹 非线性角运动 圆锥运动 分叉分析 运动稳定性 

分 类 号：TJ410[兵器科学与技术—火炮、自动武器与弹药工程]