A proposal for active control of face abrasive tool wandering

Abstract

In this paper the authors have extended their work on active stabilization of rotors with circulatory force arising from linear viscous dissipation in a frame rotating with the rotor to an active stabilization of the rotor with face grinding or abrasive tool tip for surface processing of brittle materials like inorganic glasses or thin strata or wafers of semiconducting materials for production of optoelectronic or integrated circuit devices. The dynamics and stabilization of such systems turned out much more complex than one that was addressed earlier due to the complex nature of dry friction forces. To analyze the dynamical nature of dry friction forces in rotating frames four vector operators are proposed. The operators provide a rational basis for creation of paradigms and algorithms (gain switching scheme) for stabilization. The efficacy of the proposals is established by simulation studies.