Bootstrap Statistical Model of Tooth Surface Deviation of Heat Treatment Deformation of Batch Spiral Bevel Gears

Aiming at the same batch of spiral bevel gears with the same gear material, NC milling method and heat treatment specification, a bootstrap resampling is carried out on a small number of tooth surface deviation sample data based on the bootstrap method, a large number of sample data are obtained and...

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Main Authors: Weihao Sun, Jubo Li, Tianxing Li, Chuang Jiang, Songlin Wang, Jianxin Su
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2022-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.08.024
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author Weihao Sun
Jubo Li
Tianxing Li
Chuang Jiang
Songlin Wang
Jianxin Su
author_facet Weihao Sun
Jubo Li
Tianxing Li
Chuang Jiang
Songlin Wang
Jianxin Su
author_sort Weihao Sun
collection DOAJ
description Aiming at the same batch of spiral bevel gears with the same gear material, NC milling method and heat treatment specification, a bootstrap resampling is carried out on a small number of tooth surface deviation sample data based on the bootstrap method, a large number of sample data are obtained and a bootstrap statistical model of batch spiral bevel gear tooth surface deviation is established; the probability characteristic value of the sequential points of tooth surface measurement is calculated, and whether they conform to the normal distribution is tested by <italic>k</italic>-<italic>s</italic>; the estimated true value, estimated interval and other parameters are selected to describe their statistical laws and results; through the cubic NURBS surface fitting method, the variation law of the tooth surface deviation of the whole batch is obtained, and the effective evaluation of the tooth surface accuracy of the whole batch is realized. The bootstrap statistical model provides a theoretical basis for guiding the modification of tooth surface processing parameters and efficient and stable production.
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spelling doaj.art-3413d8a977ed4eab8ee299c584fb51632023-05-26T09:51:58ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392022-01-014615616130484541Bootstrap Statistical Model of Tooth Surface Deviation of Heat Treatment Deformation of Batch Spiral Bevel GearsWeihao SunJubo LiTianxing LiChuang JiangSonglin WangJianxin SuAiming at the same batch of spiral bevel gears with the same gear material, NC milling method and heat treatment specification, a bootstrap resampling is carried out on a small number of tooth surface deviation sample data based on the bootstrap method, a large number of sample data are obtained and a bootstrap statistical model of batch spiral bevel gear tooth surface deviation is established; the probability characteristic value of the sequential points of tooth surface measurement is calculated, and whether they conform to the normal distribution is tested by <italic>k</italic>-<italic>s</italic>; the estimated true value, estimated interval and other parameters are selected to describe their statistical laws and results; through the cubic NURBS surface fitting method, the variation law of the tooth surface deviation of the whole batch is obtained, and the effective evaluation of the tooth surface accuracy of the whole batch is realized. The bootstrap statistical model provides a theoretical basis for guiding the modification of tooth surface processing parameters and efficient and stable production.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.08.024Spiral bevel gears;Heat treatment distortion;Tooth surface deviation;Bootstrap statistical model
spellingShingle Weihao Sun
Jubo Li
Tianxing Li
Chuang Jiang
Songlin Wang
Jianxin Su
Bootstrap Statistical Model of Tooth Surface Deviation of Heat Treatment Deformation of Batch Spiral Bevel Gears
Jixie chuandong
Spiral bevel gears;Heat treatment distortion;Tooth surface deviation;Bootstrap statistical model
title Bootstrap Statistical Model of Tooth Surface Deviation of Heat Treatment Deformation of Batch Spiral Bevel Gears
title_full Bootstrap Statistical Model of Tooth Surface Deviation of Heat Treatment Deformation of Batch Spiral Bevel Gears
title_fullStr Bootstrap Statistical Model of Tooth Surface Deviation of Heat Treatment Deformation of Batch Spiral Bevel Gears
title_full_unstemmed Bootstrap Statistical Model of Tooth Surface Deviation of Heat Treatment Deformation of Batch Spiral Bevel Gears
title_short Bootstrap Statistical Model of Tooth Surface Deviation of Heat Treatment Deformation of Batch Spiral Bevel Gears
title_sort bootstrap statistical model of tooth surface deviation of heat treatment deformation of batch spiral bevel gears
topic Spiral bevel gears;Heat treatment distortion;Tooth surface deviation;Bootstrap statistical model
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.08.024
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