无风条件下军用装备定点投放的数学建模及仿真

On Mathematical Modeling and Simulation of Fixed-point Drop of Military Equipment under Windless Condition

以牛顿第二定律为基础,分析了降落伞和装备组成的伞物系统在空气中的受力情况,建立了无风、空气密度均匀条件下装备投放的微分方程模型。研究了装备在降落过程中的速度、迎角、降落时间、落地位置与飞机飞行高度、速度以及降落伞的关系,借助M ATLAB软件求常系数微分方程模型的数值解,对装备的降落过程进行模拟仿真。利用仿真结果对实际装备的投放操作进行指导,可以达到更好的投放效果。

On the basis of Newton＇s Second Law of Motion, air force of the umbrella system made up of parachute and equipment is analyzed and constant coefficient differential equation model of equipment drop under the condition of no wind and equal air density is established. The relationship between the speed, angle of attack, landing time, landing position of the equipment at the process of drop and the flying height and speed of the plane and the parachute is researched. Meanwhile, the process of the parachute dropping is simulated through constant coefficient differential equation model in virtue of software MATLAB. If guided by the result of the simulation, better effect of actual dropping operation of the equipment could be achieved.