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The Undercut Criterion of Pinion Shaper Cutters: And an Improvement by Modifying the Basic Rack Profile

Svahn, Mattias LU (2016) In Journal of Manufacturing Science and Engineering 138(1). p.7-011011
Abstract
The fillet of the gear tooth is highly stressed in operation; so for heavily loaded gears, the fillet geometry must be controlled. The manufacturer's task is to, within acceptable tolerances, produce the gear to the designer's specifications regardless of the manufacturing method. Most often gear cutting tools are used that work under generating conditions. The tool will form the gear tooth; so to produce the specified gear geometry and, especially, the fillet geometry, this tool must be conjugated to the same basic rack as the gear to cut. However, this gives a risk that the tooth tip of the tool will be undercut, and if this occurs the tool will not cut the intended gear fillet. In this report, novel analytical equations are derived,... (More)
The fillet of the gear tooth is highly stressed in operation; so for heavily loaded gears, the fillet geometry must be controlled. The manufacturer's task is to, within acceptable tolerances, produce the gear to the designer's specifications regardless of the manufacturing method. Most often gear cutting tools are used that work under generating conditions. The tool will form the gear tooth; so to produce the specified gear geometry and, especially, the fillet geometry, this tool must be conjugated to the same basic rack as the gear to cut. However, this gives a risk that the tooth tip of the tool will be undercut, and if this occurs the tool will not cut the intended gear fillet. In this report, novel analytical equations are derived, which predict the limit when the tool tip will be undercut. It is shown that if the gear tooth should be conjugated to the standard basic rack with a circular fillet, which is the normal case, very large tool-tooth numbers are needed for pinion shaper cutters and gear skiving cutters to avoid this type of undercut. However, the minimum tooth number to achieve a smooth continuous tool-tooth profile is reduced by modifications to the fillet of the basic rack profile. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
pinion shaper cutter, gear skiving cutter, hob, undercut, fillet geometry, basic rack design, tool design
in
Journal of Manufacturing Science and Engineering
volume
138
issue
1
pages
7 - 011011
publisher
American Society Of Mechanical Engineers (ASME)
external identifiers
  • wos:000367715900011
  • scopus:84941247904
ISSN
1528-8935
DOI
10.1115/1.4030375
language
English
LU publication?
yes
id
926bfb8a-6244-45f7-af28-8085d6016266 (old id 7863501)
date added to LUP
2015-10-14 08:47:09
date last changed
2017-01-01 05:40:53
@article{926bfb8a-6244-45f7-af28-8085d6016266,
  abstract     = {The fillet of the gear tooth is highly stressed in operation; so for heavily loaded gears, the fillet geometry must be controlled. The manufacturer's task is to, within acceptable tolerances, produce the gear to the designer's specifications regardless of the manufacturing method. Most often gear cutting tools are used that work under generating conditions. The tool will form the gear tooth; so to produce the specified gear geometry and, especially, the fillet geometry, this tool must be conjugated to the same basic rack as the gear to cut. However, this gives a risk that the tooth tip of the tool will be undercut, and if this occurs the tool will not cut the intended gear fillet. In this report, novel analytical equations are derived, which predict the limit when the tool tip will be undercut. It is shown that if the gear tooth should be conjugated to the standard basic rack with a circular fillet, which is the normal case, very large tool-tooth numbers are needed for pinion shaper cutters and gear skiving cutters to avoid this type of undercut. However, the minimum tooth number to achieve a smooth continuous tool-tooth profile is reduced by modifications to the fillet of the basic rack profile.},
  author       = {Svahn, Mattias},
  issn         = {1528-8935},
  keyword      = {pinion shaper cutter,gear skiving cutter,hob,undercut,fillet geometry,basic rack design,tool design},
  language     = {eng},
  number       = {1},
  pages        = {7--011011},
  publisher    = {American Society Of Mechanical Engineers (ASME)},
  series       = {Journal of Manufacturing Science and Engineering},
  title        = {The Undercut Criterion of Pinion Shaper Cutters: And an Improvement by Modifying the Basic Rack Profile},
  url          = {http://dx.doi.org/10.1115/1.4030375},
  volume       = {138},
  year         = {2016},
}