炮弹飞行运动状态的全局灵敏度分析

出于外弹道测试或导航控制等需要,常在炮弹上安装各种用于飞行状态测量的装置。由于炮弹在发射及飞行中的状态受到各种随机因素的干扰,直接影响弹载测量装置的输出。为了更好地开展试验设计及相关数据处理工作,采用三轴陀螺仪测量炮弹转动角速度、三轴加速度计测量弹丸加速度、磁力计测量炮弹姿态角的方案,以五自由度刚体弹道方程组为基础,采用基于蒙特卡洛打靶的Sobol’全局灵敏度分析方法,就3种传感器的输出对初速跳动、起始扰动等因素的敏感程度开展定量研究。定量分析结果表明,初始偏航角速率和初始俯仰角速率对陀螺仪沿弹体径向的输出、加速度计沿弹体径向的输出和磁力计轴向输出的影响较大,初速对陀螺仪轴向输出和磁力计沿弹体径向的输出的影响较大,阻力系数对加速度计轴向输出的影响较大。

Global Sensitivity Analysis of Projectile Flight Motion State

For the needs of external ballistic test or navigation control,various devices for flight state measurement are often installed on the projectile. The state of the projectile in launch and flight is disturbed by various random factors,which directly affects the output of the missile borne measuring device. In order to better carry out the experimental design and related data processing,the three-axis gyroscope was used to measure the angular velocity of the projectile; the three-axis accelerometer was used to measure the acceleration of the projectile; the magnetometer was used to measure the attitude angle of the projectile. Based on the five-degree-of-freedom rigid body trajectory equations,the Sobol’global sensitivity analysis method based on Monte Carlo shooting was used to quantitatively study the sensitivity of the output of the three sensors to the initial velocity jump and initial disturbance. The quantitative analysis results show that the initial yaw angle rate and initial pitch angle rate have greater influence on the output of the gyroscope along the radial direction of the projectile,the output of the accelerometer along the radial direction of the projectile and the axial output of the magnetometer. The initial speed has greater influence on the axial output of the gyroscope and the output of the magnetometer along the radial direction of the projectile. The resistance coefficient has greater influence on the axial output of the accelerometer.