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针对无伞末敏弹稳态扫描时做大攻角圆运动的特点,求取了其在一般形式赤道阻尼力矩作用下攻角方程的近似解析解。在此基础上,运用振幅平面法分析了此种情况下的运动稳定性。结果表明:与在二次方赤道阻尼力矩作用下无伞末敏弹不可能形成稳定大攻角圆运动以实现稳态扫描不同,在考虑大攻角时赤道阻尼力矩不仅与攻角大小有关,还与攻角变化率有关,且章动阻尼与进动阻尼特性不同时,弹丸所受赤道阻尼力矩为一般形式的阻尼力矩情况下,无伞末敏弹可以形成稳定大攻角圆运动,并推导出了此种情况下实现稳态圆运动应满足的条件,给出了算例,为无伞末敏弹的结构设计和气动设计提供了理论参考。
Aiming at the characteristics of large angle-of-attack circular motion without projectile-sensitive projectile steady-state scanning, an approximate analytic solution of its attack angle equation under the general form of equatorial damping torque is obtained. On the basis of this, the stability of motion in this kind of situation is analyzed by amplitude plane method. The results show that the equatorial damping moment is not only related to the angle of attack, but also to the steady-state scanning when it is impossible to form a steady large-angle-of-attack circular motion without the umbrella-type projectiles under the quadratic damping moment. But also with the rate of change of angle of attack, and the nutation damping and precession damping characteristics are different, the projectile damping moment suffered by the projectile is a general form of damping torque case, no umbrella projectiles can form a stable angle of attack at a large angle of attack and The conditions for the steady state circular motion to be fulfilled in this case are deduced. An example is given to provide a theoretical reference for the structural design and aerodynamic design of the unleaded missile.