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TECHNICAL PAPERS

Computer Aided Loaded Tooth Contact Analysis in Cylindrical Worm Gears

[+] Author and Article Information
Vilmos Simon

 Budapest University of Technology and Economics, Faculty of Mechanical Engineering, Institute of Machine Design, Department of Machine Elements, H-1111 Budapest, Műegyetem rkp. 3, Hungary

J. Mech. Des 127(5), 973-981 (Nov 04, 2004) (9 pages) doi:10.1115/1.1904050 History: Received March 08, 2004; Revised November 04, 2004

A method for computer aided loaded tooth contact analysis in different types of cylindrical worm gears is proposed. The method covers both cases—that of the theoretical line and point contact. The geometry and kinematics of a worm gear pair based on the generation of worm gear teeth by a hob is presented. The full loaded tooth contact analysis of such a gear pair is performed. A computer program based on the theoretical background presented has been developed. By using this program the path of contact, the potential contact lines, the separations of mating surfaces along these contact lines, the load distribution and transmission errors for different types of modified and nonmodified worm gear pairs are calculated and graphically presented. The influence of gear tooth modifications on tooth contact is investigated and discussed.

Copyright © 2005 by American Society of Mechanical Engineers
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References

Figures

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Figure 2

Coordinate systems for gear tooth generation and meshing of worm gear pair

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Figure 3

Flowchart of calculations

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Figure 4

Contact lines in thread ground worm gear

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Figure 5

Contact lines in the new type of worm gear

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Figure 6

Path of contact and separations for a hob oversize of 0.5mm

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Figure 7

Path of contact and separations for a hob oversize of 2mm

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Figure 8

Pressure distribution for an instantaneous position of the mating members in a thread ground worm gear pair

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Figure 9

Pressure distribution for 21 instantaneous positions of the mating members in a thread ground worm gear pair

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Figure 10

Pressure distribution in a convolute worm gear pair

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Figure 11

Pressure distribution in the new type of worm gear

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Figure 12

Pressure distribution in a mismatched worm gear pair for the case of 0.5mm hob oversize

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Figure 13

Pressure distribution in a mismatched worm gear pair for the case of 2mm hob oversize

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Figure 14

Pressure distribution for the case of 0.5mm hob oversize and the change of machine tool setting angle for Δγ=−0.005 deg

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Figure 15

Pressure distribution for the case of 0.5mm hob oversize and the change of machine tool setting angle for Δγ=0.005 deg

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Figure 16

The variation of transmission errors through a mesh cycle for different types of worm gearings for the case of 0.5mm hob oversize

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Figure 17

The variation of transmission errors through a mesh cycle for different types of worm gearings for the case of 2mm hob oversize

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Figure 18

The influence of the amount of hob’s oversize on maximum tooth contact pressures and load distribution factor

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Figure 19

The influence of the amount of hob’s oversize on transmission errors in different types of worm gears

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