Limitation of gear tooth surfaces by envelopes to contact lines and edge of regression

Mechanism and Machine Theory

Volumn 34, Issue 6, 1999, Pages 889-902

  Litvin, F L ^a   Peng, Aoyong ^a   Wang, Anngwo ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; INTERFACES (MATERIALS); NUMERICAL ANALYSIS;

CONTACT LINES; REGRESSION EDGE;

GEAR TEETH;

EID: 0033177452     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0094-114X(98)00074-3     Document Type: Article

References (9)

1. Favard J., Course of Local Differential Geometry. Gauthier-Villars, Paris, 1957.
2. Korn G.A., Korn T.M., Mathematical Handbook for Scientists and Engineers. 2nd ed., McGraw-Hill, New York, 1968.
3. Litvin F.L., Theory of Gearing. Nauka, Moscow, 1968.
4. Litvin F.L., Theory of Gearing. NASA reference publication 1212, 1988.
5. F.L. Litvin, Determination of Envelope to Contact Lines on Mutually Enveloping Surfaces, In: Proceedings of Universities. Mathematics, no. 10(161) (1975) 48-50, Ministry of Higher Education of USSR, Moscow.
6. Litvin F.L., Gear Geometry and Applied Theory. Prentice-Hall, Englewood Cliffs, 1994.
7. Stadtfeld H.J., Handbook of Bevel and Hypoid Gears. Rochester Institute of Technology, 1993.
8. Zalgaller V.A., Theory of Envelopes. Publishing House Nauka, Moscow, 1975.
9. Zalgaller V.A., Litvin F.L., Sufficient Condition of Existence of Envelope to Contact Lines and Edge of Regression on the Surface of the Envelope to the Family of Surfaces Represented in Parametric Form, In: Proceedings of Universities. Mathematics, no. 3(178), 1977, pp. 20-23, Ministry of Higher Education of USSR, Moscow.