Mathematical modeling of a device for deep compaction of soils

In this article, we consider a schematic diagram of a device for deep compaction of soils using cone rollers located between the driver and the fence at equal angles, due to which the device will represent a natural dynamically balanced mechanical system. The advantages of this device relative to the previous prototypes are indicated. According to the schematic diagram, half of the angle of the entire device is determined, consisting of the angle between the center of the device and the axis of the cone rollers α and the angle of inclination of the forming cone rollers β. According to the scheme of the cone roller, the formula for determining the smaller radius and diameter of the cone roller is expressed. The average radius and the length of the cone roller generatrix are also determined. The scheme of determining the contact area of the cone roller with the ground is considered. According to this scheme, a dependence is made, from which the arc length of the contact area of the cone roller with the ground is determined. The contact area of the forming cone roller with the ground surface is expressed. According to the schematic diagram of the device, the reaction of the support surface of the cone roller to the ground is determined. The formula for determining the stress on the contact surface of the cone roller is written. The formula of the friction force, which is used to determine the necessary torque to start the rotation of a single cone roller, is compiled. The dependence of the torque on the drive shaft on the geometric characteristics of the device and on the mechanical characteristics of the ground, taking into account the number of cone rollers and the gear ratio, is determined. A formula is derived for determining the axial insertion force acting on a single cone roller. The dependence of the axial force of the embedding on the geometric parameters of the device and on the mechanical characteristics of the soil, taking into account the number of cone rollers, is determined.