存在动不平衡的旋转弹丸外弹道绕质心运动过程中引信惯性力分析

为了给引信安全性和可靠性设计提供准确的外弹道力学环境，应用刚体动力学理论，建立了存在动不平衡角且引信轴线与弹丸旋转轴线不平行的旋转弹丸在外弹道上绕质心运动时引信所受惯性力数学模型，得到了引信零部件因弹丸绕质心运动产生的惯性加速度在轴向、径向和切向分量的计算公式。应用ADAMS软件仿真验证了理论分析的可信性。由受力分析可知，当引信轴向运动零部件质心、弹丸质心与各轴线在同一平面内，且引信轴向运动零部件质心与弹丸惯性主轴的距离最大时，引信轴向惯性力和径向惯性力均比传统计算结果大幅度增加（算例155 mm口径火炮达到数倍）。通过仿真引信轴向运动零部件的运动过程可知，在周期性波动且波动幅度较大的各向惯性力作用下，即使径向惯性力与切向惯性力远远大于轴向惯性力，也不能阻止引信轴向运动零部件在轴向惯性力作用下向前运动。

Inertia Force Analysis for Fuzein Motion of a Dynamic Imbalance Rotating Projectile around Mass Center in Exterior Ballistics

In order to provide an accurate mechanical environment of exterior ballistics for the safety and reliability design of fuze,a mathematical model of the motion of rotating projectile,which has dynamic unbalance angle and the axis of rotation of fuze being umparallel to the axis of projectile,around the center of mess in exterior ballistics is established based on the rigid body dynamics.The formulas of the axial,radial and tangential components of inertial force acting on fuze parts,which is caused by the motion of rotating projectile around the center of mess,are derived.The credibility of the theoretical analysis is verified by the simulation of ADAMS software.It can be known from force analysis that,when the center of axial moving parts of fuze and the centroid of bullet and axis are on the same plane,and the distance between the centroid of axial moving parts of fuze and the inertia principal axis of projectile is maximum,the axial force and radial inertia force of fuze are greatly increased compared with the traditional calculation results (the inertia force of 155 mm caliber projectile achieves several times).The fuze axial moving parts can not be prevented from moving forward under the action of axial force even if the radial and tangential forces are far greater than axial force in the condition of periodic fluctuation and large fluctuation amplitude.