Investigating the Influence of Dynamic Characteristics of a Moving Carrier on the Accuracy of Shooting

Abstract

The paper presents a mathematical model of the mechanical system of a moving carrier, allowing to take into account the motion and vibrations of a helicopter, as well as the mutual influence of the "helicopter-armament" system. The mechanical system "helicopter-armament" is represented in the form of a set of material points: rigid shell (helicopter body), moving material points, leading to vibrations (rotors and turbines) and leaving the system (projectiles and rockets). The system of equations of motion in a moving coordinate system is written in vector form relative to the total momentum and kinetic moment of the mechanical system. The orientation of the moving coordinate system is determined using the direction cosines. For vibration sources (rotors and turbines), the amplitude and frequency of oscillations are determined on the basis of experimental data. For material points corresponding to ammunition, the characteristics of the movement are determined by the laws of the projectile's movement in the barrel (rockets along the directional launcher). The system of differential equations of motion is solved numerically by the Runge-Kutta-Werner method of the sixth order of accuracy with control of the integration error. Based on the simulation results of the mechanical system, the initial conditions for shooting at the moments of shots are calculated. The trajectory of the movement of projectiles and rockets is calculated on the basis of the developed method for solving the problem of external ballistics. The results of study of the disperse of projectiles and rockets during the firing a burst are presented depending on parameters of carrier motion and the shooting regime.