Mathematical Modeling of Full Tooth Surface of Spiral Bevel Gear based on the Digital Closed Loop Manufacturing

In order to realize the digital closed loop manufacturing,the tooth surface should be discretized and the spatial coordinates and the normal vectors of the discrete points on the tooth surface should be calculated. Based on the machining principle of spiral bevel gears and according to the relative...

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Main Author: Huang Denghong
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2017-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.11.014
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author Huang Denghong
author_facet Huang Denghong
author_sort Huang Denghong
collection DOAJ
description In order to realize the digital closed loop manufacturing,the tooth surface should be discretized and the spatial coordinates and the normal vectors of the discrete points on the tooth surface should be calculated. Based on the machining principle of spiral bevel gears and according to the relative position and relative motion relationship between the gear blank and the cutting tool,considering the cutter tilt modification and roll ratio modification motion,and using the method of vector operation,the mathematical model of working tooth surface and the fillet is established. Based on the mathematical model of the whole tooth surface,a method for calculating the spatial coordinates and the normal vector of the discrete points of the tooth surface is established and verified.
format Article
id doaj-art-5397c6c06c464d9f9dd1453637b20973
institution Kabale University
issn 1004-2539
language zho
publishDate 2017-01-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-5397c6c06c464d9f9dd1453637b209732025-01-10T14:20:17ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392017-01-0141727729933122Mathematical Modeling of Full Tooth Surface of Spiral Bevel Gear based on the Digital Closed Loop ManufacturingHuang DenghongIn order to realize the digital closed loop manufacturing,the tooth surface should be discretized and the spatial coordinates and the normal vectors of the discrete points on the tooth surface should be calculated. Based on the machining principle of spiral bevel gears and according to the relative position and relative motion relationship between the gear blank and the cutting tool,considering the cutter tilt modification and roll ratio modification motion,and using the method of vector operation,the mathematical model of working tooth surface and the fillet is established. Based on the mathematical model of the whole tooth surface,a method for calculating the spatial coordinates and the normal vector of the discrete points of the tooth surface is established and verified.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.11.014Spiral bevel gearMathematical modelingModification of roll ratioCutter tilt modification
spellingShingle Huang Denghong
Mathematical Modeling of Full Tooth Surface of Spiral Bevel Gear based on the Digital Closed Loop Manufacturing
Jixie chuandong
Spiral bevel gear
Mathematical modeling
Modification of roll ratio
Cutter tilt modification
title Mathematical Modeling of Full Tooth Surface of Spiral Bevel Gear based on the Digital Closed Loop Manufacturing
title_full Mathematical Modeling of Full Tooth Surface of Spiral Bevel Gear based on the Digital Closed Loop Manufacturing
title_fullStr Mathematical Modeling of Full Tooth Surface of Spiral Bevel Gear based on the Digital Closed Loop Manufacturing
title_full_unstemmed Mathematical Modeling of Full Tooth Surface of Spiral Bevel Gear based on the Digital Closed Loop Manufacturing
title_short Mathematical Modeling of Full Tooth Surface of Spiral Bevel Gear based on the Digital Closed Loop Manufacturing
title_sort mathematical modeling of full tooth surface of spiral bevel gear based on the digital closed loop manufacturing
topic Spiral bevel gear
Mathematical modeling
Modification of roll ratio
Cutter tilt modification
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.11.014
work_keys_str_mv AT huangdenghong mathematicalmodelingoffulltoothsurfaceofspiralbevelgearbasedonthedigitalclosedloopmanufacturing