Analytical description of the interaction process of a rigid vibratory drum with a compacted surface using the general dynamics equation

This study has solved the task of creating the theory of the soil compaction by a rigid vibratory drum on the basis of the usage of the general dynamics equation. When rolling over the deformable soil the vibratory drum performs a compaction operation and represents a mechanical system that is influenced by stationary dynamic forces. A design diagram has been created for the consideration of dynamic interaction processes of the vibratory drum with the compacted soil, where the main parameters are represented by the angle α of the vibratory drum interaction with the soil, angle β of the inclined plane, which simulates the vibratory drum resistance rolling during the soil compaction and vibratory drum geometric parameters. The general dynamics equation allows to obtain an analytical solution of the problem of the vibratory drum interaction with the soil in the form of the sum of elementary works of the tractive force T , load Q on the wheel axles, soil reaction forces on the vibratory drum, and rolling resistance forces. The solution is presented in the equation form of the sum of the elementary works of all the indicated forces, which is equal to zero. Analytical dependences of the vibratory drum rolling moment, rolling resistance force and vibratory drum rolling resistance coefficient over the deformable soil in relation to construction soils of the 1 st – 4 th strength categories have been obtained. The obtained results can be used when designing vibration rollers for the compaction of deformable media.