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 developed in Lagrange method. The model is verified through drop tests. Compared the deduced kinematic equation's result 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 approximate in oscillating amplitude and frequency. The result shows the dynamic model can be used to calculate projectile bodies' kinematics in parachute-projectile systems.