用数值方法解决弹道曲线的有关问题

利用龙格—库塔方法解弹道曲线方程组 ,其精度不够 ,也不能较完整地给出道弹曲线的解析式。本文直接从解内禀方程出发 ,运用样条函数磨光法 ,解决了这些问题 ,也解决了弹道曲线的计算与选择问题。

用多元参数法求轨迹

用多个参数求轨迹 ,能化难为易 ,思路简捷。若设n个参数 ,则只需列出n +1个有关参数的等式 ,通过消参就能得到动点的轨迹方程。但对所选参数 。

Study on the trajectory prediction curves of supercavitating vehicle

In order to understand the laws of motion for supercavitating vehicle better, simplified equations for longitudinal motion of supercavitating vehicle were derived. Then the corresponding simulation software for trajectory of supereavitating vehicle was programmed, by which the theoretical predicted trajectories of the supercavitating vehicle at different velocities were obtained. It was found that the predicted trajectories at low speed and without cavitation on the vehicle in theory agreed well with those in experiments, and the theoretical predicted trajectories at high speed and with supercavity on the vehicle correctly reflected the motion laws of the supercavitating vehicle. The influences of various parameters of eavitator and rudder on the underwater trajectory were compared and analyzed, which can provide a guide for the design of hydrodynamic distribution and gross parameters of the supereavitating weapons.