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A parametric Analysis of the Undeformed Chip Geometry in Gear Hobbing

Vedmar, Lars LU ; Andersson, Carin LU and Ståhl, Jan-Eric LU (2009) In Journal of Manufacturing Science and Engineering 131(December 2009). p.1-061003
Abstract
Hobbing is a common manufacturing method when producing helical, involute gears. In order to increase tool life and surface finish, an accurate method to determine chip geometry is needed. Although this accurateness may involve numeric solutions, the geometric description must, as far as possible, be analytic and give a description of the continuously changing chip geometry.

In this report, the cutting edges of the tool are mathematically described using parametric and analytically differentiable functions. This gives the possibility to determine the geometry of the three-dimensional surface on the blank each cutting edge will cut, with numeric approximations kept to a minimum. By comparing successively cut surfaces, the chip... (More)
Hobbing is a common manufacturing method when producing helical, involute gears. In order to increase tool life and surface finish, an accurate method to determine chip geometry is needed. Although this accurateness may involve numeric solutions, the geometric description must, as far as possible, be analytic and give a description of the continuously changing chip geometry.

In this report, the cutting edges of the tool are mathematically described using parametric and analytically differentiable functions. This gives the possibility to determine the geometry of the three-dimensional surface on the blank each cutting edge will cut, with numeric approximations kept to a minimum. By comparing successively cut surfaces, the chip geometry is determined using the tool and process parameters.

The mathematical description gives the possibility to calculate the required characteristic properties of the chips. These are needed for increasing the tool life in order to develop more efficient tools and processes.

An example is given in which characteristics, as the maximum chip thickness, the chip cross-section area, and the mean chip thickness are calculated.

The reported theory describes in detail how the chip geometry is determined. (Less)
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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Manufacturing Science and Engineering
volume
131
issue
December 2009
pages
1 - 061003
publisher
American Society Of Mechanical Engineers (ASME)
external identifiers
  • wos:000273525900003
  • scopus:77955302240
ISSN
1528-8935
DOI
10.1115/1.4000334
language
English
LU publication?
yes
id
fe11c313-e8af-437e-80b6-e79f3fd888ac (old id 1502348)
date added to LUP
2016-04-01 13:24:56
date last changed
2022-01-27 19:03:09
@article{fe11c313-e8af-437e-80b6-e79f3fd888ac,
  abstract     = {{Hobbing is a common manufacturing method when producing helical, involute gears. In order to increase tool life and surface finish, an accurate method to determine chip geometry is needed. Although this accurateness may involve numeric solutions, the geometric description must, as far as possible, be analytic and give a description of the continuously changing chip geometry. <br/><br>
In this report, the cutting edges of the tool are mathematically described using parametric and analytically differentiable functions. This gives the possibility to determine the geometry of the three-dimensional surface on the blank each cutting edge will cut, with numeric approximations kept to a minimum. By comparing successively cut surfaces, the chip geometry is determined using the tool and process parameters.<br/><br>
The mathematical description gives the possibility to calculate the required characteristic properties of the chips. These are needed for increasing the tool life in order to develop more efficient tools and processes. <br/><br>
An example is given in which characteristics, as the maximum chip thickness, the chip cross-section area, and the mean chip thickness are calculated.<br/><br>
The reported theory describes in detail how the chip geometry is determined.}},
  author       = {{Vedmar, Lars and Andersson, Carin and Ståhl, Jan-Eric}},
  issn         = {{1528-8935}},
  language     = {{eng}},
  number       = {{December 2009}},
  pages        = {{1--061003}},
  publisher    = {{American Society Of Mechanical Engineers (ASME)}},
  series       = {{Journal of Manufacturing Science and Engineering}},
  title        = {{A parametric Analysis of the Undeformed Chip Geometry in Gear Hobbing}},
  url          = {{http://dx.doi.org/10.1115/1.4000334}},
  doi          = {{10.1115/1.4000334}},
  volume       = {{131}},
  year         = {{2009}},
}