某型末制导炮弹惯导陀螺动力学分析与仿真

Simulation and Dynamic Analysis of Terminal Guide Projectile' Inertial Guide Gyro

目前国内外学者将惯导陀螺连同末制导炮弹弹体视作单刚体来研究,对于惯导陀螺内外框摆动角的确定是通过弹体坐标系、惯导陀螺坐标系和地面坐标系之间的转换关系推导出来的,并不能直接反应惯导陀螺内外框摆动的动力学规律.为了揭示惯导陀螺内外框摆动角变化的内在规律,得到多刚体条件下末制导炮弹角运动模型,首先进行基本假设、建立坐标系,其次运用动量矩定理对内外框摆动进行分析,建立了内外框摆动角的动力学模型,再次应用Matlab/Simulink软件编制程序,对该数学模型进行了仿真计算,最终得到了该型末制导炮弹更加精确的角运动模型,揭示了其在多刚体条件下的运动规律.

At present domestic and overseas scholars research the inertial guide gyro and the terminal guide projectile as a single rigid body.Angles of external and internal framework are deduced by means of the conversion relationship among the body of the terminal guide projectile coordinate system,the inertial guide gyro coordinate system and the ground coordinate system,which can not directly reflect the law in the motion of inertial guide gyro＇ external and internal framework.In order to research the law and set up the terminal guide projectile＇ kinetic angle model under multi-body systems dynamics condition.Firstly hypothesis was put forward and new reference frames were found,secondly analyzing the motion of the inertial guide gyro using theorem of moment of momentum,establishing kinetic models of the inertial guide gyro,thirdly employing Matlab/Simulink software to work out the procedure,calculation was carried out.Eventually more precise kinetic angle models are established and the ballistic track of the terminal guide projectile under multi-body systems dynamics condition is described accurately.