数值模拟与理论分析跳伞运动

Numerical simulation and theoretical analysis of skydiving

跳伞运动作为一项惊险性和挑战性并存的体育运动,其下落时的安全性是必须考虑的。通过建立适当的物理模型来分析这项运动,其中假设降落伞所受到的阻力与速度的平方成正比,而人所受到的阻力与速度成正比。当降落伞和人的质量不变时,首先找出了阻力系数(k_1,k_2)与系统平衡速度的关系,然后选取一组阻力系数数据,分别采用理论计算与数值模拟两种方法算出达到平衡态时的时间、速度、降落伞绳索的拉力,这两种结果基本一致。

As a dangerous and challenging sport,the safety of parachuting must be considered.In this paper,we construct a proper physical model of this sport,in which we assume that the air resistance of parachute is proportional to the square of its velocity and the air resistance of people is proportional to his velocity.When the mass of parachute and people remains unchanged,first we find out the relationship between the resistance coefficient ( k 1 , k 2 )and the equilibrium velocity,then we select a group of resistance coefficient data to calculate the equilibrium time,equilibrium velocity,and the maximum parachute rope’s force by theoretical calculation and numerical simulation.Those two methods have similar results.