The uncertainty propagation analysis of the projectile-barrel coupling problem

Abstract

Based on the model which couples the projectile and gun barrel during an interior ballistic cycle, the uncertainty propagation analysis of the model is presented caused by the uncertainty of the input parameters. The Bootstrap method is employed to calculate the statistical moments (i.e. the mean, variance, skewness coefficient and kurtosis coefficient) of the parameters of the projectile. Meanwhile, the maximum entropy method is used to estimate the probability density function (PDF) and the cumulative density function (CDF), the interval of the parameters of the projectile are also given. Moreover, the results obtained are compared to the results calculated by Monte Carlo (MC) method to verify the effectiveness of the presented method. Finally, the rule and the uncertainty propagation model of the projectile-barrel coupling system are given with the variation of the uncertainties of the input parameters.

Keywords

• Uncertainty propagation
• Projectile-barrel coupling
• Bootstrap
• Maximum entropy
• Interval