Alternative formulation of the theory of gearing

Mechanism and Machine Theory

Volumn 40, Issue 5, 2005, Pages 613-637

  Di Puccio, Francesca ^a   Gabiccini, Marco ^a   Guiggiani, Massimo ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

Conjugate surfaces; Envelope of surfaces; Equation of meshing; Gear generation; Gear geometry; Spiral bevel gears; Theory of gearing

Indexed keywords

KINEMATICS; MATHEMATICAL MODELS; SET THEORY; STRESS ANALYSIS; VECTORS;

CONJUGATE SURFACE; ENVELOPE OF SURFACES; EQUATION OF MESHING; GEAR GENERATION; GEAR GEOMETRY; SPIRAL GEARS; THEORY OF GEARING;

BEVEL GEARS;

EID: 15844368040     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmachtheory.2004.10.003     Document Type: Article

References (14)

1. F.L. Litvin, Theory of Gearing, NASA Reference Publication 1212, 1989
2. F.L. Litvin Gear Geometry and Applied Theory 1994 PTR Prentice-Hall Englewood Cliffs
3. F.L. Litvin, Development of Gear Technology and Theory of Gearing, NASA Reference Publication 1406, 1997
4. F.L. Litvin, A.M. Egelja, and M. De Donno Computerized determination of singularities and envelopes to families of contact lines on gear tooth surfaces Computer Methods in Applied Mechanics and Engineering 158 1998 23 34
5. F.L. Litvin, A. Peng, and A. Wang Limitation of gear tooth surfaces by envelopes to contact lines and edge of regression Mechanism and Machine Theory 34 1999 889 902
6. I.H. Seol The design, generation, and simulation of meshing of worm-gear drive with longitudinally localized contacts ASME Journal of Mechanical Design 122 2000 201 206
7. X. Su, and D.R. Houser Alternative equation of meshing for worm-gear drives and its application to determining undercutting and reverse engineering ASME Journal of Mechanical Design 122 2000 207 212
8. N. Ito, and K. Takahashi Differential geometrical conditions of hypoid gears with conjugate tooth surfaces ASME Journal of Mechanical Design 122 2000 323 330
9. G.C. Mimmi, and P.E. Pennacchi Non-undercutting conditions in internal gears Mechanism and Machine Theory 35 2000 477 490
10. D.B. Dooner On the three laws of gearing ASME Journal of Mechanical Design 124 2002 733 744
11. D.B. Dooner, and A.A. Seireg The Kinematic Geometry of Gearing 1995 Wiley Interscience New York
12. D.-R. Wu, and J.-S. Luo A Geometric Theory of Conjugate Tooth Surfaces 1992 World Scientific Singapore
13. F.L. Litvin, M. De Donno, Q. Lian, and S.A. Lagutin Alternative approach for determination of singularity of envelope to a family of parametric surfaces Computer Methods in Applied Mechanics and Engineering 167 1998 153 165
14. J. Argyris, A. Fuentes, and F. Litvin Computerized integrated approach for design and stress analysis of spiral bevel gears Computer Methods in Applied Mechanics and Engineering 191 2002 1057 1095