基于Kane方法的双旋弹飞行动力学建模及仿真

针对双旋弹飞行动力学建模,提出了基于Kane方法建立树形多刚体系统动力学方程的方法.分析了双旋弹后体和前体的运动,并分别建立了其动力学方程,综合得到了双旋弹的七自由度飞行动力学方程.基于四元数转换,建立了双旋弹转动运动学方程.通过编程对双旋弹的无控和有控运动特性进行了仿真分析.结果表明,双旋弹无控时以小迎角稳定飞行;有控飞行时弹体产生配平迎角,且纵向和横向修正会出现交叉耦合.

Modeling and simulation of flight dynamics for dual-spin projectile based on Kane's method

As to the modeling for the flight dynamic model of dual-spin projectile,a method to establish the dynamic model for multi-rigidbody systems with tree structures was given based on Kane' s equations.The motions of the front and rear parts were analyzed.Afterwards,the dynamic models of both parts were established,and the 7-DOF flight dynamic equations were built.The kinematics equations were set up based on the quaternion transformation.The simulation analyses for uncontrolled and controlled kinetic characteristics were carried out by programming.The results show that the projectile flies stably with small angles of attack while uncontrolled.The trim angle of attack is generated while the projectile is controlled.Moreover the cross coupling will appear between the longitudinal correction and lateral correction.