×

zbMATH — the first resource for mathematics

Computerized developments in design, generation, simulation of meshing, and stress analysis of gear drives. (English) Zbl 1158.74434
Summary: The paper represents new computerized developments in design, generation, simulation of meshing, and stress analysis of gear drives. The main contents of the paper are: (i) application of a predesigned parabolic function of transmission errors for reduction of noise, (ii) computerized simulation of noise caused by transmission errors, (iii) modification of the basic algorithm of tooth contact analysis, and (iv) application of approaches developed for enhanced design and simulation of meshing of the following gear drives: (a) spiral bevel gear drives, (b) face-gear drives (including an approach for grinding), and (c) modified helical gear drives. The developed theory is illustrated with numerical examples.

MSC:
74M15 Contact in solid mechanics
70E60 Robot dynamics and control of rigid bodies
Software:
ABAQUS/Standard
PDF BibTeX XML Cite
Full Text: DOI
References:
[4] Fuentes A., Litvin F.L., Mullins B.R., Woods R., Handschuh, R.F., Lewicki D.G., ’Design, stress analysis and experimental tests of low-noise adjusted bearing contact spiral bevel gears’. in: Proceedings International Conference on Gears , VDI-Beritchte, Vol. 1 , No. 1665, (2002) 327–340
[6] Hibbit Karlsson. (1998). Sirensen, Inc., ABAQUS/Standard User’s Manual , 1800 Main Street, Pawtucket , RI 20860–4847
[7] Klingelnberg und Söhne, Ettlingen, Kimos: Zahnkontakt-Analyse für Kegelräder, 1996
[12] Litvin F.L. (1989). Theory of Gearing , NASA RP-1212 (AVSCOM 88-C-C035), Washington, D.C. · Zbl 0715.41048
[14] Litvin F.L. (1998). Development of Gear Technology and Theory of Gearing, NASA Reference Publication 1406, ARL-TR-1500
[17] Litvin F.L., Chen Y.-J., Heath G.F., Sheth V.J., Chen N. (2000). ’Apparatus and method for precision grinding face gears’. USA Patent 6,146,253
[19] Litvin F.L. et al. (2001). ’Helical and spur gear drive with double crowned pinion tooth surfaces and conjucated gear tooth surfaces’. USA Patent 6,205,879
[26] Litvin F.L., Sheveleva G.I, Vecchiato D., Gonzalez-PerezI., Fuentes A. (2004). ’Modified approach for tooth contact analysis of gear drives and automatic determination of guess values’. Comput. Methods Appl. Mech. Eng., accepted for publication · Zbl 1137.70310
[28] Miller E.W. (1942). ’Hob for generation of crown gears’. USA Patent 2,304,588
[30] Nutbourne A.W., Martine R.R. (1988). Differential Geometry Applied to Curve and Surface Design, Vol. 1. Ellis Horwood Limited, Chichester, West Sussex, UK
[33] Stadtfeld H.J. (1983). Formgenaue Kegelradtriebsätze durch Oerlikon CDS-3D , Oerlikon Bührle AG, Zürich, Firmenschrift
[39] 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 parametric family of surfaces represented in parametric form’. in: Proceedings of Universities: Mathematics 178 (3) (1977) 20–23 (in Russian) · Zbl 0355.53001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.