Mathematical model of the main battle tank witch stabilized turret and gun

The subject of discussion is the T-72 main battle tank. The tank is treated as three distinct bodies, representing the hull, the turret and the gun. The rigid bodies are subject to a set of kinematics constraint relationships, which provide the physical interface of the system. The gun and turret are assumed to bend in the elevation and azimuth direction. Angular and axial displacements of vehicle are the input signals acting on the turret and the gun. The tank gun stabiliser, minimise the effects of vehicle motion on the main armament of tank and compensates the velocities of the vehicle. Stabilisation system, automatically maintain the position of the gun at a fixed bearing in space, in spate of any motion of the vehicle in roll, in pitch or in yaw. Mathematical model of the tank, the turret and the gun functioned as one system with the model of tank gun stabiliser (verified on the base of experimental investigations) were build. The equations of motion associated with a military tank are derived using Lagrange equations. In the next stage of the work the mathematical model could be used for versatile numerical tests of existing, modernized and new types of combat vehicles.