Applying Projective Geometry in Design of Worm Manufacturing

Article Preview

Abstract:

The mathematical describing of the production process in mechanical engineer work in the euclidean space model and the base of the analytical describing of the projective space model is practically identical in the form, which makes it reasonable to discuss of the production geometry to approach of the projective geometrical negotiation in the . It is a fact that in one of the cases, using the approach of a projective geometrical connection and the mathematical-kinematical model resulted in expansion in the field of production precision, specifically considering the examination of the production of the conical worm by grinding wheel. The abstraction of the production geometry on projective space model has a few results in case of conical worms. The elliptical errors in production of the conical worm with arched or anything profile by grinding wheel can be eliminated by this method way to achieve the constant pitch, the torsion of profile and others.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

77-81

Citation:

Online since:

October 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Balajti, Zs., Dudas, I., Up To Date Method for Describing the Bearing Pattern of Spiroid Driving, Проблемы машиностроения и автоматизацииor, Engineering and Automation Problems International Journal, Moskva, ISSN 0234-6206 pp.52-56.

Google Scholar

[2] Felho, Cs., Kundrak, J., Characterization of topography of cut surface based on theoretical roughness indexes, Key Engineering Materials, Vol. 496 (2012) pp.194-199. ISSN 1013-9826.

DOI: 10.4028/www.scientific.net/kem.496.194

Google Scholar

[3] Kovacs, Lehel, Computer graphics, In Scientia Issue (in Hungarian), Cluj Napoca, 2009, ISBN 978-973-1970-14-1 p.384.

Google Scholar

[4] Kundrak J., Perepelicia B A, Sashkova N V, Analiticheskoe opredelenie kinematicheskih geometricheskih parametrov pri tochenii i rastachivanii poligonnykh poverkhnostejj, REZANNIE I INSTRITUMENT, 1987., pp.43-47.

Google Scholar

[5] Litvin, Faydor L., Fuents, Alfonso, Gear Geometry and Applied Theory, Cambidge University Press, ISBN 0 521 815177, 2004., p.800.

Google Scholar

[6] Ovarine Balajti, Zsuzsa, Development of the Production Geometry of Kinematic Drive Pairs, PhD dissertation (in Hungarian) p.170, University of Miskolc, (2007).

Google Scholar

[7] Perepelica B A, Kundrak J, How to use the multiparameter mapping to describe the kinematics of metal cutting, In: Result of the scientific cooperation between the Polytechnical University of Kharkov and the University of Miskolc: Jubilee Conference, Miskolc, Magyarország, 1994. 03. 01-1994. 03. 02., Miskolc, Hungary, University of Miskolc, pp.: 95-98, (ISBN: 963 661 238 2).

DOI: 10.24818/ea/2022/61/701

Google Scholar

[8] Sztankovics, I., Kundrak, J., Theoretical value of total height of profile in rotational turning, Applied Mechanics and Materials, 2013, pp.154-161.

DOI: 10.4028/www.scientific.net/amm.309.154

Google Scholar

[9] Varga, G., Kundrak, J., Effect of environmentally conscious machining on machined surface quality, 2013, Applied Mechanics and Materials, 309, pp.35-42.

DOI: 10.4028/www.scientific.net/amm.309.35

Google Scholar