Looking for a Mathematical Solution for a Self-Centering Device

Eugen Pămîntaş, Felicia Veronica Banciu · Applied Mechanics and Materials · 2014

Proper centering problem is common to processing by cutting the metal or nonmetallic cylindrical parts. This paper proposes a solution useful in self-centering devices with mobile jaws, both in terms of cinematic jaw movement - rotation instead of translation - as well as the active profile of the jaw - curvilinear instead of straight. The method of problem solving is mathematical deduction, on the one hand by establishing the geometrical calculus schemes that describes the graphic curves for the envelope of a single-sided curvilinear profile for jaw, and on the other by the generalization of the solution for the case the active surfaces of the jaws are both curvilinear profile.

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