基于拉格朗日法的伞-弹系统中弹体运动方程  

Kinematic Equations of Projectile Body Based on Lagrange Method in Parachute-projectile Systems

作　　者：董严[1] 付小燕[1] 鲍泳林[1] DONG Yan;FU Xiaoyan;BAO Yonglin(Institute of Systems Engineering, China Academy of Engineering Physics, Sichuan Mianyang 621900, China)

机构地区：[1]中国工程物理研究院总体工程研究所,四川绵阳621900

出　　处：《弹箭与制导学报》2017年第5期102-104,111,共4页Journal of Projectiles,Rockets,Missiles and Guidance

基　　金：中国工程物理研究院技术基础课题(2014ZZK1.2)资助

摘　　要：伞-弹系统是复杂的多体动力学系统,为得到系统中弹体的位移、摆角等运动状态,利用拉格朗日方程法建立了基于弹体运动方程的伞-弹系统平面内动力学模型,并通过空投实验对动力学模型进行了验证。推导的弹体运动学方程计算结果和实验测试结果在弹体水平和高度位移随时间变化关系上较为符合,在摆角随时间变化关系上具有相近的趋势和较为符合的振荡幅值与频率,表明该动力学模型可作为计算伞-弹系统中弹体运动状态的有效方法。Parachute-projectile systems are complex multibody dynamic systems. In order to obtain projectile bodies＇ state of motion such as displacement and pitch, a parachute-projectile system dynamic model in plane based on projectile body＇ s kinematic equation is devel- oped in Lagrange method. The model is verified through drop tests. Compared the deduced kinematic equation＇ s resuh and the drop test＇ s result, horizontal displacements and altitudes versus time are approximate, pitch angles versus time are the same in variation trend and ap- proximate in oscillating amplitude and frequency. The result shows the dynamic model can be used to calculate projectile bodies＇ kinemat- ics in parachute-projectile systems.

关 键 词：降落伞 拉格朗日方程 多体动力学 

分 类 号：V212[航空宇航科学与技术—航空宇航推进理论与工程]