Özet:

: The improved design of a vibratory lapping machine is developed in the SolidWorks software on the basis of a suspended double-mass oscillatory system. The system is set into motion by three pairs of electromagnets generating periodic excitation forces applied between the upper and lower laps. By adopting the same forced frequencies and the specific phase shifts of the excitation forces, we aim to produce antiphase translational (circular) oscillations of the laps. In such a case, the best accuracy and operational efficiency of the lapping (polishing) process can be reached. The present research is aimed at analyzing the dynamic behavior of the lapping machine’s oscillatory system. In particular, the motion trajectories of the laps, as well as their kinematic characteristics (displacements, velocities, and accelerations) are considered. The mathematical model of the oscillatory system is developed using the Euler–Lagrange equations. The numerical modelling of the system motion is performed in the Mathematica software using the Runge–Kutta methods. The computer simulation of the laps oscillations is conducted in the SolidWorks software under different friction conditions. The experimental prototype of the vibratory lapping machine was tested in the Vibroengineering Laboratory of Lviv Polytechnic National University. The possibility of generating controllable translational (circular) oscillations of the laps is theoretically studied and experimentally confirmed. Further investigations on the subject of the present paper could focus on the physical-mechanical and technological parameters (surface flatness, roughness, hardness, wear resistance, etc.) obtained through the lapping and polishing processes using the proposed vibratory finishing machine.

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