Dynamic Simulation Of The Movement Process Of Cannonball In The Gun Chamber

This article mainly studies the combustion law of wheel-shaped charges and its effect on the internal ballistic performance of the grenade.Using UG software to carry out three-dimensional modeling of wheel-shaped grains,based on the parallel layer combustion law,the grains were divided into combustion stages.Using mathematical theories such as geometry and surface integration and Matlab software to numerically calculate the combustion surface area of each stage,the curve of the combustion area of the wheel-shaped charge and the thickness of the burned meat is obtained.According to the combustion curve,the meat of the wheel-shaped charge is calculated.Thick form,increase / decrease surface,filling ratio and residual medicine were analyzed.The constant surface combustion law of the wheel-shaped charge is explored.When the number of wheel angles n=4 and the wheel arm angle θ=π/3,the wheel-shaped charge has approximately constant surface combustion.Taking the howitzer as an example,using geometry and internal ballistics related theories,the shape characteristic function of the wheel type charge is calculated,substituted into the internal ballistic equations,a mathematical model is established,and the internal ballistic solution is divided into five periods to obtain the wheel type charge.The internal ballistic p-l,v-l,p-t and v-t curves.The internal trajectory curves of conventional and wheel-shaped charges are compared and analyzed.By changing the size of the charge to control the combustion law of the gunpowder,the internal trajectory performance of the gun is indirectly improved.The results show that the wheel type charge needs to be used with high burning rate gunpowder and can be used as a launching charge,and it is more suitable for large caliber howitzers.The influence of the geometric parameters of the wheel-shaped charge on the movement of the projectile bore is explored.Through calculation and analysis,the relationship curve and stress distribution cloud diagram of the structural parameters and the acceleration of the movement in the projectile bore are obtained.Compared with the conventional charge,the wheel-shaped charge makes the motion acceleration in the projectile bore have a smaller drop,and can provide a more stable acceleration for the projectile.Under the same conditions,the maximum equivalent stress value of the wheelshaped charge is less than the maximum equivalent stress value of the conventional charge,and it meets the safety requirements of the movement of the projectile bore.