基于混沌多项式的火箭弹射击落点散布分析方法

Research on dispersion characteristics analysis of rocket projectile based on polynomial chaos

针对传统的基于统计学的火箭弹射击落点分析方法需要生成大量随机样本用于弹道求解,存在计算量大、耗时长的问题,提出了一种基于混沌多项式理论的火箭弹射击散布特性分析方法。该方法基于火箭弹不确定性弹道动力学模型,采用混沌多项式理论将射击散布分析问题直接转化为确定性多项式系数求解问题,然后采用非嵌入式数值积分方法来确定多项式系数。该方法仅需要在数值积分点上求解弹道方程,从而极大地提高了计算效率。仿真结果表明,所提出的方法在同等精度要求下比蒙特卡洛分析方法具有更高的计算效率,具有很强的工程实用价值。

Aimed at the problems of large computational complexity and time consuming of rocket projectile dispersion characteristics analysis based on statistical analysis,this paper proposed a new method based on PC.Combining the PC and the nondeterministic trajectory model,the method could transform the dispersion characteristics analysis to the problem of solving polynomial coefficient,and obtain the dispersion characteristics using numerical integration.This method just needs to solve the trajectory modelat numerical integral point,which could significantly increase the computational efficiency.The simulation results shows that the method has important practical engineering value because of its higher efficiency in equal precision conditions than monte caro method.