Investigating the lateral vibration of the drill in the concrete drilling process

Drills have many applications in industry. One of the applications of drills is in the process of converting which can be modeled as a rotor-disk overhung system. In this paper, the lateral vibration of a concrete drill is studied. For this purpose, first, the governing equations the lateral vibration of the system and its boundary conditions are derived using the Hamilton principle. The governing equations are then solved using the Assumed mode method and the first two natural frequencies of the lateral vibration of the system are calculated by the analytical method. In the following, the effect of changing the main parameters of the system, such as the rotational speed of the drill, the diameter of the drill, and the axial force on the natural frequencies is studied and the results are presented in the form of graphs. The results show that the main parameters of the system, such as axial force and rotational speed, have a significant effect on the value of the system's natural frequencies. The results can be used by design engineers to optimize such systems.