固定鸭舵式弹道修正弹二体系统建模

Modeling of Two-rigid-body System for Trajectory Correction Projectile With Fixed-canard

固定鸭舵式二维弹道修正弹修正组件相对弹体具有不同的滚转角速度,传统6D弹道模型不能有效描述弹丸的运动特性和规律。针对该问题,在修正组件和弹体无气动耦合的假设下,研究了修正组件、弹体的运动与弹丸运动的关系,分析了弹丸飞行过程中两刚体间的相互作用,综合两刚体的运动学和动力学方程建立了7D弹道模型。针对某型尾翼稳定弹建立了仿真模型,并对不同面积、不同舵偏角、不同修正组件质量3种状态进行了仿真分析。仿真结果表明,该模型可有效描述弹丸在飞行过程中的运动状态,且能够反映弹丸的弹道特性和运动规律。该模型可用于该型弹丸的弹道解算,并为该类弹丸的研究提供依据。

The correction components of 2D trajectory correction projectile（TCP）with fixed-canard have different roll-angular velocities relative to the body,and 6D trajectory model can’t effectively describe the motion characteristics of the projectile.To solve this problem,the projectile was treated as two rigid bodies.Under the assumption that the front component and the aft component have no pneumatic coupling,new coordinate frames were built,and mathematical rela-tionship between the force of the fixed component and airflow by redefining attacking angle and side slip angle was described.The relations of the movement of projectile,the correction component and the body component were studied.The interactive force between two rigid bodies during flight was analyzed.The 7D ballistic model was built through integrating kinematic equations and dynamic equations.Aiming at one fin-stability shell,the simulation model was built,and the simulation was carried out.The results show that this model can describe the motion state in the flight and reflect the trajectory characteristics.This model can be used for ballistic solution,and it provides reference for studying the projectile.