Looking for a Mathematical Solution for a Self-Centering Device

Abstract:

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.

• Periodical: Applied Mechanics and Materials (Volume 657)
• Pages: 509-513
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.657.509
• Online since: October 2014
• Authors: Eugen Pămîntaş*, Felicia Veronica Banciu
• Keywords: Centering, Cylindrical Parts, Device, Envelope Curve, Self-Centering

References

[1] P.K. Wright and D.A. Bourne, Manufacturing Intelligence, Addison Wesley Publishing Company, Inc., USA, (1988).

[2] I. Grozav, Engineering Devices (in Romanian), Politehnica Publishing House, Timişoara, (2008).

[3] V. Tache, I. Ungureanu, et al., Guide for Work holding Devices Design (in Romanian), I.P. Bucureşti Publishing House and I.P. Piteşti Publishing House, (1980).

[4] E. Grecu, Differential Geometry, Ed. Matrix Rom, Bucuresti, (1997).

[5] V.G. Ivancevic and T. T Ivancevic, Applied Differential Geometry. A modern introduction, World Scientific Publishing Co. Pte. Ltd., (2007).

DOI: 10.1142/6420

[6] S. Lang, Fundamentals of Differential Geometry, Springer-Verlag New York, Inc., (1999).