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

Weihao Sun; Jubo Li; Tianxing Li; Chuang Jiang; Songlin Wang; Jianxin Su

doi:10.16578/j.issn.1004.2539.2022.08.024

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

Development·Application | 更新时间：2022-09-23

- Bootstrap Statistical Model of Tooth Surface Deviation of Heat Treatment Deformation of Batch Spiral Bevel Gears
- Journal of Mechanical Transmission Vol. 46, Issue 8, Pages: 156-161(2022)
- 作者机构：
  
  1.河南科技大学机电工程学院，河南洛阳 471003
  2.机械装备先进制造河南省协同创新中心，河南洛阳 471003
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2022.08.024
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孙维浩,李聚波,李天兴等.批量弧齿锥齿轮热处理变形齿面偏差的自助法统计模型[J].机械传动,2022,46(08):156-161.

Sun Weihao,Li Jubo,Li Tianxing,et al.Bootstrap Statistical Model of Tooth Surface Deviation of Heat Treatment Deformation of Batch Spiral Bevel Gears[J].Journal of Mechanical Transmission,2022,46(08):156-161.
孙维浩,李聚波,李天兴等.批量弧齿锥齿轮热处理变形齿面偏差的自助法统计模型[J].机械传动,2022,46(08):156-161. DOI： 10.16578/j.issn.1004.2539.2022.08.024.

Sun Weihao,Li Jubo,Li Tianxing,et al.Bootstrap Statistical Model of Tooth Surface Deviation of Heat Treatment Deformation of Batch Spiral Bevel Gears[J].Journal of Mechanical Transmission,2022,46(08):156-161. DOI： 10.16578/j.issn.1004.2539.2022.08.024.

摘要

针对齿轮材料、数控铣齿方法和热处理规范均相同的同一批次的弧齿锥齿轮，基于自助法对少量齿面偏差样本数据进行自助再抽样，得到大量的样本数据，建立了批量弧齿锥齿轮齿面偏差的自助法统计模型；计算了齿面测量顺序点的概率特征值，利用,k-s,检验了其是否符合正态分布，并选取估计真值、估计区间等参数，描述了其统计规律和结果；通过三次NURBS曲面拟合方法，得到了整批次齿面偏差变化规律，实现了整批次齿面精度的有效评价。该自助法统计模型为指导齿面加工参数修正和高效稳定生产提供了理论依据。

Abstract

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 ,k,-,s,； 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.

关键词

弧齿锥齿轮热处理变形齿面偏差自助法统计模型

Keywords

Spiral bevel gearsHeat treatment distortionTooth surface deviationBootstrap statistical model

references

李聚波，徐爱军，高振山，等.面向弧齿锥齿轮网络化闭环制造的集成系统框架［J］.组合机床与自动化加工技术，2016（9）：116-119.

LI Jubo，XU Aijun，GAO Zhenshan，et al.Integration system framework for spiral bevel gears network closed-loop manufacturing［J］.Modular Machine Tool & Automatic Manufacturing Technique，2016（9）：116-119.

李聚波，高振山，李天兴，等.面向弧齿锥齿轮网络化制造过程的信息集成管理系统［J］.农业工程学报，2017，33（15）：227-236.

LI Jubo，GAO Zhenshan，LI Tianxing，et al.Information integration management system for spiral bevel gear networked manufacturing process［J］.Transactions of the Chinese Society of Agricultural Engineering，2017，33（15）：227-236.

杨建军，龚飞，张华，等.基于曲率修正的弧齿锥齿轮齿面设计［J］.航空动力学报，2018，33（7）：1743-1749.

YANG Jianjun，GONG Fei，ZHANG Hua，et al.Tooth surface design of spiral bevel gear based on curvature correction［J］.Journal of Aerospace Power，2018，33（7）：1743-1749.

汪中厚，李刚，久保爱三.基于数字化真实齿面的弧齿锥齿轮齿面接触分析［J］.机械工程学报，2014，50（15）：1-11.

WANG Zhonghou，LI Gang，KUBO Aizo.Tooth contact analysis of spiral bevel gears based on digital real tooth surfaces［J］.Journal of Mechanical Engineering，2014，50（15）：1-11.

李聚波，徐爱军，徐恺，等.基于网络集成的弧齿锥齿轮数字化闭环制造技术［J］.农业工程学报，2015，31（16）：86-95.

LI Jubo，XU Aijun，XU Kai，et al.Digital closed-loop manufacturing technology of spiral bevel gears based on network integration［J］.Transactions of the Chinese Society of Agricultural Engineering，2015，31（16）：86-95.

LI T X，ZHOU J X，DENG X Z，et al.A manufacturing error measurement methodology for a rotary vector reducer cycloidal gear based on a gear measuring center［J］.Measurement Science and Technology，2018，29（7）：1-13.

EFRON B.Bootstrap methods：another look at the jackknife［J］.The Annals of Statistics，1979，7（1）：1-26.

夏新涛，叶亮，李云飞，等.基于多层自助最大熵法的可靠性评估［J］.兵工学报，2016，37（7）：1317-1329.

XIA Xintao，YE Liang，LI Yunfei，et al.Reliability evaluation based on hierarchical bootstrap maximum entropy method［J］.Acta Aramentarii，2016，37（7）：1317-1329.

夏新涛，秦园园，邱明.基于灰自助最大熵法的机床加工误差的调整［J］.中国机械工程，2014，25（17）：2273-2277.

XIA Xintao，QIN Yuanyuan，QIU Ming.Adjustment for the machining errors of machine tool based on grey bootstrap maximum entropy method［J］.China Mechanical Engineering，2014，25（17）：2273-2277.

秦荦晟，陈晓阳，沈雪瑾.小样本下基于竞争失效的轴承可靠性评估［J］.振动与冲击，2017，36（23）：248-254.

QIN Luosheng，CHEN Xiaoyang，SHEN Xuejin.Reliability assessment of bearings based on competing failure under small sample data［J］.Journal of Vibration and Shock，2017，36（23）：248-254.

NIETO F，PEREZ-RUEDA M A，LIPSA L M，et al.Statistical techniques for predicting rupture risk in abdominal aortic aneurysms：a contribution based on bootstrap［J］.Science Progress，2021，104（2）：1-21.

王雪，马铁民，杨涛，等.基于近红外光谱的灌浆期玉米籽粒水分小样本定量分析［J］.农业工程学报，2018，34（13）：203-210.

WANG Xue，MA Tiemin，YANG Tao，et al.Moisture quantitative analysis with small sample set of maize grain in filling stage based on near infrared spectroscopy［J］.Transactions of the Chinese Society of Agricultural Engineering，2018，34（13）：203-210.

朱心雄.自由曲线曲面造型技术［M］.北京：科学出版社，2000：152-154.

ZHU Xinxiong.Free curve surface modeling technology［M］.Beijing：Science Press，2000：152-154.

XU Z S，FENG L，LEI H X.Application and dynamical performance simulation of tooth surface measured data of hypoid gear［J］.Journal of Measurement Science and Instrumentation，2014，5（2）：1-8.

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