Computerized determination of singularities and envelopes to families of contact lines on gear tooth surfaces

Computer Methods in Applied Mechanics and Engineering

Volumn 158, Issue 1-2, 1998, Pages 23-34

  Litvin, F L ^a   Egelja, A M ^a   De Donno, M ^a  

^a 1120 Science and Engineering Offices   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; REGRESSION ANALYSIS; SURFACES;

CONTACT LINES;

GEAR TEETH;

EID: 0032071483     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00219-3     Document Type: Article

References (8)

1. [1] J. Favard, Course of Local Differential Geometry (Gauthier-Villars, Paris) (in French, translated into Russian), 1957.
2. [2] G.A. Korn and T.M. Korn, Mathematical Handbook for Scientists and Engineers, 2nd edition (McGraw-Hill, NY, 1968).
3. [3] F.L. Litvin, Theory of Gearing, Nauka, 1968 (in Russian).
4. [4] F.L. Litvin, Theory of Gearing, NASA Reference Publication 1212, 1988.
5. [5] F.L. Litvin, Determination of envelope to contact lines on mutually enveloping surfaces, Proceeding of Universities, Mathematics, No. 10(161) (1975) 48-50 (in Russian).
6. [6] F.L. Litvin, Gear Geometry and Applied Theory (Prentice Hall, Englewood Cliffs, NJ, 1994).
7. [7] V.A. Zalgaller, Theory of Envelopes (Publishing House Nauka, Moscow, 1975).
8. [8] V.A. Zalgaller and F.L. Litvin, 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, Proceedings of Universities. Mathematics, No. 3(178) (1977) 20-23 (in Russian).