Hazard rate behavior of large caliber projectile interior and external ballistics performance based on optimal reliability modeling

The field of ballistic protection assessment is challenging due to the need of satisfying high precision requirements with a limited sample size. Identifying the probability of perforation at a specified projectile velocity is the most common way to quantify the ballistic resistance of a given protection structure. Recently several techniques have been developed for this purpose to assess perforation for all possible velocities. The main drawback of these techniques is the use of the normality assumption under which perforation velocities are expected to follow a Gaussian normal distribution where V~N(v,σ_1^2). Also, the techniques for assessing the ballistics stability of projectiles, which have recently been used in numerous studies to measure disturbance in target impacts in all possible ranges, are based on the assumption that the range of projectile follows the normal distribution. Accordingly, any parameter of interest is estimated using the characteristic identified Gaussian distribution. In this work, Interior and external ballistic data obtained from real tests of intelligence mortar bomb and life distributions applied to the ballistic data, using the method of maximum likelihood to estimate the model parameters. The results of Interior ballistic and external ballistic synonym analysis led to data clustering in four clusters and based on marginal functions and related joint distribution functions, reliability and risk behavior were investigated.