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Research Papers

Analytical Determination of Basic Machine-Tool Settings for Generation of Spiral Bevel Gears From Blank Data

[+] Author and Article Information
Ignacio Gonzalez-Perez1

Department of Mechanical Engineering, Polytechnic University of Cartagena, Dr. Fleming s/n, Cartagena 30202, Spainignacio.gonzalez@upct.es

Alfonso Fuentes

Department of Mechanical Engineering, Polytechnic University of Cartagena, Dr. Fleming s/n, Cartagena 30202, Spainalfonso.fuentes@upct.es

Kenichi Hayasaka

R&D Group Research Development Center, Yamaha Motor Co., Ltd., 2500 Shingai, Iwata, Shizuoka 438-8501, Japanhayasakak@yamaha-motor.co.jp

1

Corresponding author.

J. Mech. Des 132(10), 101002 (Sep 30, 2010) (11 pages) doi:10.1115/1.4002165 History: Received January 14, 2010; Revised May 18, 2010; Published September 30, 2010; Online September 30, 2010

An approach for analytical determination of basic machine-tool settings for generation of spiral bevel gears from blank data is proposed. Generation by face-milling is considered. The analytical procedure is based on the similitudes between the conditions of generation between the gear member and its head-cutter and the conditions of imaginary meshing between the gear member and its crown gear. The blank data considered are the number of teeth of the pinion and the gear, the module, the spiral and pressure angles, the face width, the shaft angle, the depth factor, the clearance factor, and the mean addendum factor. These starting data can be established following the directions of the Standard ANSI/AGMA 2005-D03. Once the gear machine-tool settings are determined, an existing approach of local synthesis is applied to determine the pinion machine-tool settings that provide the desired conditions of meshing and contact of the gear drive. The developed theory is illustrated with a numerical example.

Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Different types of depth taper: (a) standard, (b) uniform, and (c) duplex

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Figure 2

Schematic representation of generation of a spiral bevel gear

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Figure 3

Gear machine-tool settings: (a) geometry of the blade of head cutter and (b) installation of coordinate systems applied for gear generation

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Figure 4

Generation by crown gear: (a) pitch cones and (b) intersection line L of generating surface with crown gear pitch cone

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Figure 5

Illustration of coordinate system Sg, rigidly connected to generating surface, and intersection line L of generating surface with crown gear pitch cone, in case of (a) a right-hand gear and (b) a left-hand gear

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Figure 6

Illustration of: (a) pinion and gear root lines and axes zP and zF of corresponding generating surfaces, (b) gear generator and gear pitch cones, and (c) pinion generator and pinion pitch cones

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Figure 7

Reference point P and projection Po on gear root line

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Figure 8

Generating surfaces for (a) convex and (b) concave sides

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Figure 9

Location of the blades and reference point P in coordinate system SP

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Figure 10

Arrangement of coordinate systems Sf, Sn, and Sp in case of uniform type of taper

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Figure 11

Arrangement of coordinate systems Sf, Sn, and Sp in case of duplex type of taper

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Figure 12

For location of point N: (a) illustration of auxiliary coordinate system Sk wherein point N belongs to axis xk and (b) point N on the line formed by points P and P0

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Figure 13

For determination of point width: (a) illustration of auxiliary coordinate system St and (b) illustration of arc M1M2ˆ containing point N

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Figure 14

Obtained geometry for (a) the gear and (b) the pinion of the spiral bevel gear drive 20×43

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Figure 15

Results of TCA of optimized design of spiral bevel gear drive 20×43 based on a longitudinally oriented path of contact: (a) bearing contact on the gear concave tooth surface and (b) predesigned function of transmission errors

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