New geometry of face worm gear drives with conical and cylindrical worms: Generation, simulation of meshing, and stress analysis.

*(English)*Zbl 1008.74060Summary: We propose new geometry of face worm gear drives with conical and cylindrical worms. The generation of the face worm gear is based on the application of a tilted head-cutter (grinding tool) instead of application of a hob applied at present. The generation of a conjugated worm is also based on the application of a tilted head-cutter (grinding tool). The bearing contact of the gear drive is localized and oriented longitudinally. We provide predesigned parabolic function of transmission errors for reduction of noise and vibration. The stress analysis of the gear drive is performed, the contacting model is designed automatically, and the developed theory is illustrated with numerical examples.

##### Keywords:

cylindrical worms; face worm gear drives; conical worms; tilted head-cutter; parabolic function of transmission errors; stress analysis##### Software:

ABAQUS/Standard
PDF
BibTeX
XML
Cite

\textit{F. L. Litvin} et al., Comput. Methods Appl. Mech. Eng. 191, No. 27--28, 3035--3054 (2002; Zbl 1008.74060)

Full Text:
DOI

**OpenURL**

##### References:

[1] | Dudas, I., The theory and practice of worm gear drives, (2000), Penton Press London |

[2] | Favard, J., Course of local differential geometry, (1957), Gauthier-Villars Paris, in French, translated into Russian |

[3] | Goldfarb, V.I.; Airapetov, E.L.e.S.; Novosyelov, V.Yu., Analytical and experimental assessment of spiroid gear tooth deflection, (), 2257-2262 |

[4] | V.I. Goldfarb, A.S. Kuniver, D.V. Koshin, Investigation of spiroid gear tooth tangency under action of errors, Proceedings of the International Conference on Gearing, Transmission and Mechanical Systems, Notthingam London, 2000, pp. 65-73 |

[5] | Hibbit, Karlsson & Sirensen, Inc., ABAQUS/Standard 6.1 User’s Manual, 1800 Main Street, Pantucket, RI 20860-4847, 1998 |

[6] | Korn, G.A.; Korn, T.M., Mathematics handbook for scientist and engineers, (1968), McGraw-Hill New York · Zbl 0535.00032 |

[7] | T.J. Krenzer, Computer aided inspection of bevel and hypoid gears, S.A.E. paper 831266, Milwaukee, WS, 1983 |

[8] | Litvin, F.L., Gear geometry and applied theory, (1994), Prentice-Hall Englewood Cliffs, NJ |

[9] | F.L. Litvin, Development of gear technology and theory of gearing, NASA Reference Publication 1406, ARL-TR-1500, 1998 |

[10] | Litvin, F.L.; De Donno, M., Computerized design and generation of modified spiroid worm-gear drive with low transmission errors and stabilized bearing contact, Comput. meth. appl. mech. engrg., 162, 187-201, (1998) · Zbl 0942.70004 |

[11] | Litvin, F.L.; Argentieri, G.; De Donno, M.; Hawkins, M., Computerized design generation and simulation of meshing and contact of face worm gear drives, Comput. meth. appl. mech. engrg., 189, 785-801, (2000) · Zbl 0972.70005 |

[12] | W.N. Nelson, Spiroid Gearing, Machine Design February 16, March 2-16, 1961 |

[13] | O.E. Saari, Speed-reduction gearing, Patent No. 2,696,125, United States Patent Office, 1954 |

[14] | O.E. Saari, Skew axis gearing, Patent No. 2,954,704, United States Patent Office, 1960 |

[15] | Stadtfeld, H.J., Handbook of bevel and hypoid gears: calculation manufacturing and optimization, (1993), Rochester Institute of Technology Rochester, NY |

[16] | Townsend, D.P., Dudley’s gear handbook, (1991), McGraw-Hill New York |

[17] | Zalgaller, V.A., Theory of envelopes, (1975), Publishing House Nauka Moscow, in Russian |

[18] | 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, Proceedings of universities: mathematics, 178, 3, 20-23, (1977), in Russian · Zbl 0355.53001 |

[19] | Zienkiewicz, O.C.; Taylor, R.L., The finite element method, (2000), Wiley Chichester · Zbl 0991.74002 |

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.