MATHEMATICAL MODELING OF THE PROFILE OF A GEAR CUTTING ROLLING TOOL FOR MACHINING OF NON-INVOLUTE GEAR WHEELS

In this article, the relevance of the study of gears with a complex non-involute profile of the tooth flanks is justified. For the subsequent study of non-involute gearings, the task of mathematical modeling of the profile of a gear-cutting rolling tool for machining of noninvolute gear wheels is...

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Main Authors: Tatyana TRETYAK, Yury GUTSALENKO, Alexander SHELKOVOI, Alexander MIRONENKO, Sergey MIRONENKO
Format: Article
Language:English
Published: Academica Brancusi 2019-12-01
Series:Fiabilitate şi Durabilitate
Subjects:
Online Access:http://www.utgjiu.ro/rev_mec/mecanica/pdf/2019-02/01_TRETYAK.pdf
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author Tatyana TRETYAK
Yury GUTSALENKO,
Alexander SHELKOVOI
Alexander MIRONENKO
Sergey MIRONENKO
author_facet Tatyana TRETYAK
Yury GUTSALENKO,
Alexander SHELKOVOI
Alexander MIRONENKO
Sergey MIRONENKO
author_sort Tatyana TRETYAK
collection DOAJ
description In this article, the relevance of the study of gears with a complex non-involute profile of the tooth flanks is justified. For the subsequent study of non-involute gearings, the task of mathematical modeling of the profile of a gear-cutting rolling tool for machining of noninvolute gear wheels is solved. As a profile of the tooth flank of a rack, a certain section of one of the previously simulated flat kinematic curves is considered. Based on the algorithm for calculating the profile of envelope surfaces, a method for geometric analysis of the process of surfaces shaping by rolling gear cutting tools has been developed. Using computer graphics, the sequential shaping of the teeth space of non-involute gear wheels processed by rolling gear cutting tools with a given tooth profile was studied
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spelling doaj.art-2956075fc03c4c62910114feb54dbec62022-12-22T01:08:39ZengAcademica BrancusiFiabilitate şi Durabilitate1844-640X1844-640X2019-12-01242511MATHEMATICAL MODELING OF THE PROFILE OF A GEAR CUTTING ROLLING TOOL FOR MACHINING OF NON-INVOLUTE GEAR WHEELSTatyana TRETYAK0Yury GUTSALENKO,1Alexander SHELKOVOI2Alexander MIRONENKO3Sergey MIRONENKO4Nat. Tech. Univ. “Kharkov Polytech. Inst.”, Kharkov, UkraineNat. Tech. Univ. “Kharkov Polytech. Inst.”, Kharkov, UkraineNat. Tech. Univ. “Kharkov Polytech. Inst.”, Kharkov, UkraineNat. Tech. Univ. “Kharkov Polytech. Inst.”, Kharkov, UkraineNat. Tech. Univ. “Kharkov Polytech. Inst.”, Kharkov, UkraineIn this article, the relevance of the study of gears with a complex non-involute profile of the tooth flanks is justified. For the subsequent study of non-involute gearings, the task of mathematical modeling of the profile of a gear-cutting rolling tool for machining of noninvolute gear wheels is solved. As a profile of the tooth flank of a rack, a certain section of one of the previously simulated flat kinematic curves is considered. Based on the algorithm for calculating the profile of envelope surfaces, a method for geometric analysis of the process of surfaces shaping by rolling gear cutting tools has been developed. Using computer graphics, the sequential shaping of the teeth space of non-involute gear wheels processed by rolling gear cutting tools with a given tooth profile was studiedhttp://www.utgjiu.ro/rev_mec/mecanica/pdf/2019-02/01_TRETYAK.pdfshaping of gear wheelsmating surfacestooth profileflat kinematic curve.
spellingShingle Tatyana TRETYAK
Yury GUTSALENKO,
Alexander SHELKOVOI
Alexander MIRONENKO
Sergey MIRONENKO
MATHEMATICAL MODELING OF THE PROFILE OF A GEAR CUTTING ROLLING TOOL FOR MACHINING OF NON-INVOLUTE GEAR WHEELS
Fiabilitate şi Durabilitate
shaping of gear wheels
mating surfaces
tooth profile
flat kinematic curve.
title MATHEMATICAL MODELING OF THE PROFILE OF A GEAR CUTTING ROLLING TOOL FOR MACHINING OF NON-INVOLUTE GEAR WHEELS
title_full MATHEMATICAL MODELING OF THE PROFILE OF A GEAR CUTTING ROLLING TOOL FOR MACHINING OF NON-INVOLUTE GEAR WHEELS
title_fullStr MATHEMATICAL MODELING OF THE PROFILE OF A GEAR CUTTING ROLLING TOOL FOR MACHINING OF NON-INVOLUTE GEAR WHEELS
title_full_unstemmed MATHEMATICAL MODELING OF THE PROFILE OF A GEAR CUTTING ROLLING TOOL FOR MACHINING OF NON-INVOLUTE GEAR WHEELS
title_short MATHEMATICAL MODELING OF THE PROFILE OF A GEAR CUTTING ROLLING TOOL FOR MACHINING OF NON-INVOLUTE GEAR WHEELS
title_sort mathematical modeling of the profile of a gear cutting rolling tool for machining of non involute gear wheels
topic shaping of gear wheels
mating surfaces
tooth profile
flat kinematic curve.
url http://www.utgjiu.ro/rev_mec/mecanica/pdf/2019-02/01_TRETYAK.pdf
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