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Mathematical model of slotting manufacture and simulation for cosine gears

A slotting method for cosine gears was proposed by using the involute cutter based on the conjugate theories of digital surface and gear meshing. The slotting model between the cosine tooth surface represented by discrete points and the cutter figuration determined by analytic function was built for... Full description

Journal Title: Journal of Central South University 2014, Vol.21(3), pp.933-941
Main Author: Wang, Jian
Other Authors: Luo, Shan-ming , Xu, Pan
Format: Electronic Article Electronic Article
Language: English
Subjects:
CAM
ID: ISSN: 2095-2899 ; E-ISSN: 2227-5223 ; DOI: 10.1007/s11771-014-2021-5
Link: http://dx.doi.org/10.1007/s11771-014-2021-5
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recordid: springer_jour10.1007/s11771-014-2021-5
title: Mathematical model of slotting manufacture and simulation for cosine gears
format: Article
creator:
  • Wang, Jian
  • Luo, Shan-ming
  • Xu, Pan
subjects:
  • cosine gear
  • mathematical model
  • computer simulation
  • slotting manufacture
  • CAM
ispartof: Journal of Central South University, 2014, Vol.21(3), pp.933-941
description: A slotting method for cosine gears was proposed by using the involute cutter based on the conjugate theories of digital surface and gear meshing. The slotting model between the cosine tooth surface represented by discrete points and the cutter figuration determined by analytic function was built for their geometrical relationship and conjugate motion during the machining process. Conjugate points in the cutter section corresponding to the discrete points on the cosine gear tooth surface and the conjugate movements were solved. By using the flexible control of the CNC procedure, the active control of the cutting trace of the slotting cutter was accomplished and the envelop forming of the cosine gear was obtained. Based on the software C++ and Matlab, the computer aided manufacturing (CAM) system of the cosine gear was developed, and the simulation of the slotting process was accomplished. Several examples were provided to illustrate the approach. The result of the simulation demonstrates that the proposed slotting method is feasible.
language: eng
source:
identifier: ISSN: 2095-2899 ; E-ISSN: 2227-5223 ; DOI: 10.1007/s11771-014-2021-5
fulltext: fulltext
issn:
  • 2227-5223
  • 22275223
  • 2095-2899
  • 20952899
url: Link


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subjectcosine gear ; mathematical model ; computer simulation ; slotting manufacture ; CAM
descriptionA slotting method for cosine gears was proposed by using the involute cutter based on the conjugate theories of digital surface and gear meshing. The slotting model between the cosine tooth surface represented by discrete points and the cutter figuration determined by analytic function was built for their geometrical relationship and conjugate motion during the machining process. Conjugate points in the cutter section corresponding to the discrete points on the cosine gear tooth surface and the conjugate movements were solved. By using the flexible control of the CNC procedure, the active control of the cutting trace of the slotting cutter was accomplished and the envelop forming of the cosine gear was obtained. Based on the software C++ and Matlab, the computer aided manufacturing (CAM) system of the cosine gear was developed, and the simulation of the slotting process was accomplished. Several examples were provided to illustrate the approach. The result of the simulation demonstrates that the proposed slotting method is feasible.
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titleMathematical model of slotting manufacture and simulation for cosine gears
descriptionA slotting method for cosine gears was proposed by using the involute cutter based on the conjugate theories of digital surface and gear meshing. The slotting model between the cosine tooth surface represented by discrete points and the cutter figuration determined by analytic function was built for their geometrical relationship and conjugate motion during the machining process. Conjugate points in the cutter section corresponding to the discrete points on the cosine gear tooth surface and the conjugate movements were solved. By using the flexible control of the CNC procedure, the active control of the cutting trace of the slotting cutter was accomplished and the envelop forming of the cosine gear was obtained. Based on the software C++ and Matlab, the computer aided manufacturing (CAM) system of the cosine gear was developed, and the simulation of the slotting process was accomplished. Several examples were provided to illustrate the approach. The result of the simulation demonstrates that the proposed slotting method is feasible.
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abstractA slotting method for cosine gears was proposed by using the involute cutter based on the conjugate theories of digital surface and gear meshing. The slotting model between the cosine tooth surface represented by discrete points and the cutter figuration determined by analytic function was built for their geometrical relationship and conjugate motion during the machining process. Conjugate points in the cutter section corresponding to the discrete points on the cosine gear tooth surface and the conjugate movements were solved. By using the flexible control of the CNC procedure, the active control of the cutting trace of the slotting cutter was accomplished and the envelop forming of the cosine gear was obtained. Based on the software C++ and Matlab, the computer aided manufacturing (CAM) system of the cosine gear was developed, and the simulation of the slotting process was accomplished. Several examples were provided to illustrate the approach. The result of the simulation demonstrates that the proposed slotting method is feasible.
copHeidelberg
pubCentral South University
doi10.1007/s11771-014-2021-5
pages933-941
date2014-03