Abstract: Current research in microgrinding spherical optical surfaces shows that undesired marks are often produced on the ground surface. We speculate that vibrations during the microgrinding process may be the cause of these marks, and propose a model for the dynamics of the process, in an attempt to eliminate the cutter marks and improve the quality of the finished surface. We use Lagrangian mechanics to model the tool-workpiece system and evaluate the effects of simple forcing functions acting on the tool-workpiece system. In preparation for future full analyses we find that even simple non-axial vibrations can lead to intermittent tool- work contact.!12
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