MATHEMATICAL SIMULATION OF MOVEMENT ON A DEFORMED SUPPORTING SURFACE WITH CHANGE OF TIRE PRESSURE IN WHEEL TIRES OF A MULTI-PURPOSE ARMORED VEHICLE IN THE EXAMPLE OF KrAZ �HURRICANE�
Authors:   The National academy of the National Guard of Ukraine, Sklyarov �. , Shapovalov O. ,   The National academy of the National Guard of Ukraine
Published: October 2021

Mathematical modeling of the movement of multi-purpose armored vehicles for military purposes has significant features in contrast to the modeling of the movement of civilian vehicles. Because the operation of military equipment provides the ability to move not only on general roads, but also outside them. With different coefficients of adhesion of wheels to the road and coefficients of rolling resistance on the road. Therefore, to improve driving conditions and increase cross-country, it is advisable to carry out the optimal redistribution of air pressure in the tires. The efficiency of motion in such conditions must be theoretically investigated using a modern mathematical apparatus. That will allow providing for multipurpose motor vehicles effective performance of the set level of tasks in the specified operating conditions and at a certain ratio of its technical characteristics to provide the maximum degree of performance of technical requirements. The purpose of the article is to create a mathematical apparatus for regulating the air pressure between the axles of an armored vehicle with a wheel formula 8 ? 8, when moving on surfaces with variable coefficients of traction and wheel resistance, to increase the passability of a multi-purpose armored vehicle. The basis of the mathematical model of rectilinear motion of a multi-purpose armored vehicle on a deformed support surface and the determination of the characteristics of this movement (indicators of reference passability) is the modeling of the car movement proposed by the authors in the works. When developing a mathematical model of the movement of a multi-purpose armored vehicle on a deformed bearing surface, it is necessary to develop a calculation scheme in which the assumptions are made: ? the rectilinear movement of the multipurpose armored car on an equal basic basis is considered; ? left and starboard conditions are the same; ? wheel tracks of all bridges (axes) on the sides of the car completely coincide; ? the characteristics of the ground surface on the sides of the car are the same; ? the connection of the wheels with the car body in the vertical plane is rigid (without taking into account the elastic properties of the suspension); ? the longitudinal flexibility of the suspension guide elements is taken into account; ? the engine torque affects the wheel directly; ? elastic - damping properties of transmission elements are not taken into account; ? soil deformation is specified not because of its direct physical characteristics, but as specific energy losses during wheel rolling on a flat surface ? the longitudinal pliability of the guide elements of the suspension is taken into account; ? engine torque directly affects the wheel; ? elastic-damping properties of transmission elements are not taken into account; ? deformation of the soil is set not because of its direct physical characteristics, but as specific energy losses when rolling the wheel on a flat basis; ? engine response to a change in the position of the fuel supply body without delay; ? characteristic of the torque developed by the engine, taken in the form of an inclined line, the maximum value of which is determined by the fractions of the change in the position of the fuel supply body.