Research on Time-dependent Reliability of Subway Gearboxes Based on the Response Surface Method

Pei Bang; Li Zhiyuan; Li Xuefei; Chen Zhuo; He Penghui; Huang Xiaodan

doi:10.16578/j.issn.1004.2539.2023.02.019

您当前的位置：

首页 >

文章列表页 >

Research on Time-dependent Reliability of Subway Gearboxes Based on the Response Surface Method

Development·Application | 更新时间：2023-02-25

- Research on Time-dependent Reliability of Subway Gearboxes Based on the Response Surface Method
- Journal of Mechanical Transmission Vol. 47, Issue 2, Pages: 142-148(2023)
- 作者机构：
  
  郑州机械研究所有限公司，河南郑州 450052
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2023.02.019
  CLC：
- Published：15 February 2023，
  
  Received：17 February 2022，
  
  Revised：01 March 2022，
扫描看全文
裴帮,李志远,李学飞等.基于响应面法的地铁齿轮箱箱体时变可靠性研究[J].机械传动,2023,47(02):142-148.

Pei Bang,Li Zhiyuan,Li Xuefei,et al.Research on Time-dependent Reliability of Subway Gearboxes Based on the Response Surface Method[J].Journal of Mechanical Transmission,2023,47(02):142-148.
裴帮,李志远,李学飞等.基于响应面法的地铁齿轮箱箱体时变可靠性研究[J].机械传动,2023,47(02):142-148. DOI： 10.16578/j.issn.1004.2539.2023.02.019.

Pei Bang,Li Zhiyuan,Li Xuefei,et al.Research on Time-dependent Reliability of Subway Gearboxes Based on the Response Surface Method[J].Journal of Mechanical Transmission,2023,47(02):142-148. DOI： 10.16578/j.issn.1004.2539.2023.02.019.

摘要

地铁齿轮箱作为地铁车辆的核心部件，其可靠性决定了整辆列车的可靠性。地铁的运行过程包括启动、持续、高速、短路工况，短路工况箱体受力最大，可靠度最低。根据GB/T 21563—2018的测试要求，对某型号地铁齿轮箱箱体的超常工况（工况1）和实际运行过程中发生的短路工况（工况2）进行了可靠性分析。考虑铸造公差、材料参数、输入转矩的不确定性对箱体最大等效应力与最大变形的影响，采用CCD实验设计方法进行了样本计算并拟合出响应面，结合蒙特卡罗抽样得出静态可靠度；在此基础上，结合顺序统计量理论对多次载荷作用进行等效，得出了箱体随载荷作用次数变化的可靠度。结果表明，两种工况下，载荷作用

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=40305797&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=40305791&type=

4.82600021

2.96333337

次后，箱体的可靠度仍然很高，符合设计要求；根据时变可靠度图得知，尽管工况2的应力均值小于工况1，但与工况1相比方差较大，这导致了工况2的可靠度下降速率大于工况1。所以，应减小应力的离散度，以增加运行时的可靠性。

Abstract

As the core components of metro vehicles

the reliability of metro gearboxes determines the reliability of the whole train. The operation process of subway includes start-up

continuity

high-speed and short circuit conditions. In short circuit conditions

the box body has the maximum stress and the lowest reliability. According to the test requirements of national standard “Railway applications—Rolling stock equipment—Shock and vibration tests”

the reliability analysis of metro gearboxes in abnormal condition (condition 1) and short circuit condition (condition 2) occurring in actual operation is carried out. Thus

the influence of casting tolerance

material parameters and input torque uncertainties on the maximum equivalent stress and maximum deformation of the box body are considered. The CCD experimental design method is used to calculate the sample and fit the response surface

and the static reliability is obtained combined with Monte Carlo sampling. On this basis

combined with the order statistic theory

the reliability of the box with the number of loads is obtained. The results show that the reliability of the box body is still very high and meets the design requirements after 100 thousand loads under the two working conditions. According to the time-dependent reliability diagram

although the mean value of stress in working condition 2 is smaller than that in working condition 1

the variance is larger than that in working condition 1

which leads to the reliability decline rate of working condition 2 is greater than that in working condition 1. Therefore

the dispersion of stress should be reduced to increase the reliability during operation.

关键词

蒙特卡罗响应面顺序统计量时变可靠度

Keywords

Monte carloResponse surfaceOrder statisticTime-dependent reliability

references

黄晓丹，裴帮，关鹤，等.基于刚柔耦合的地铁齿轮箱故障仿真研究［J］.机械传动，2021，45（10）：137-143.

HUANG Xiaodan，PEI Bang，GUAN He，et al.Fault simulation research of metro gearbox based on rigid-flexible coupling［J］.Journal of Mechanical Transmission，2021，45（10）：137-143.

赵聪聪.高速列车传动系统可靠性分析与评估［D］.长春：吉林大学，2016：24-54.

ZHAO Congcong.Analysis and evaluation of reliability for high-speed train transmission system［D］.Changchun：Jilin University，2016：24-54.

何杰，郗志刚，艾文，等.基于优化的金属打包机箱体可靠性分析［J］.机床与液压，2021，49（14）：101-104.

HE Jie，XI Zhigang，AI Wen，et al.Reliability analysis of metal packing case based on optimization［J］.Machine Tool & Hydraulics，2021，49（14）：101-104.

杜雪松，楼嘉彬，黄玉成，等.考虑强度退化与失效相关性的RV减速器动态可靠性分析［J］.机械传动，2020，44（2）：98-103.

DU Xuesong，LOU Jiabin，HUANG Yucheng，et al.Dynamic reliability analysis of RV reducer considering strength degradation and dependent failure［J］.Journal of Mechanical Transmission，2020，44（2）：98-103.

郭合朋，李剑锋.RV传动的可靠性分析及结构设计［J］.机械设计与制造，2017（12）：1-6.

GUO Hepeng，LI Jianfeng.The reliability analysis and structure design of the RV transmission［J］.Machinery Design & Manufacture，2017（12）：1-6.

周志刚，徐芳.考虑强度退化和失效相关性的风电齿轮传动系统动态可靠性分析［J］.机械工程学报，2016，52（11）：80-87.

ZHOU Zhigang，XU Fang.Dynamic reliability analysis of gear transmission system of wind turbine considering strength degradation and dependent failure［J］.Journal of Mechanical Engineering，2016，52（11）：80-87.

李正文.基于Copula函数失效相关系统的动态可靠性分析［D］.西安：西安电子科技大学，2019：42-46.

LI Zhengwen.The analysis of dynamic reliability of failure-dependent system based on Copula function［D］.Xi´an：Xidian University，2019：42-46.

BICHON B J，MCFARLAND J M，MAHADEVAN S.Efficient surrogate models for reliability analysis of systems with multiple failure modes［J］.Reliability Engineering and System Safety，2011，96（10）：1386-1395.

NAESS A，LEIRA B J，BATSEVYCH O.System reliability analysis by enhanced Monte Carlo simulation［J］.Structural Safety，2009，31（5）：349-355.

ECHARD B，GAYTON N，LEMAIRE M.AK-MCS：an active learning reliability method combining Kriging and Monte Carlo Simulation［J］.Structural Safety，2011，33（2）：145-154.

NOORTWIJK J，WEIDE J，KALLEN M J，et al.Gamma processes and peaks-over-threshold distributions for time-dependent reliability［J］.Reliability Engineering and System Safety，2007，92（12）：1651-1658.

FU G，YANG W，LI C Q，et al.Reliability analysis of corrosion affected underground steel pipes considering multiple failure modes and their stochastic correlations［J］.Tunnelling and Underground Space Technology，2019，87（5）：56-63.

全国牵引电气设备与系统标准化技术委员会.轨道交通机车车辆设备冲击和振动试验：GB/T 21563—2018［S］.北京：中国标准出版社，2018：13-17.

National Technical Committee 278 on Electric Equipment and Systems for Railways of Standardization Administration of China.Railway applications-rolling stock equipment-shock and vibration tests：GB/T 21563—2018［S］.Beijing：Standards Press of China，2018：13-17.

全国铸造标准化技术委员会.铸件尺寸公差、几何公差与机械加工余量：GB/T 6414—2017［S］.北京：中国标准出版社，2017：5-8.

National Technical Committee 54 on Foundry Standardization Administration of China.Castings-dimensional tolerances，and geometrical tolerances and machining allowances：GB/T 6414—2017［S］.Beijing：Standards Press of China，2017：5-8.

许卫宝，钟涛.机械产品可靠性设计与试验［M］.北京：国防工业出版社，2015：3-78.

XU Weibao，ZHONG Tao.Reliability design and test of mechanical product［M］.Beijing：National Defense Industry Press，2015：3-78.

谢里阳.可靠性设计［M］.北京：高等教育出版社，2013：85-91.

XIE Liyang.Reliability design［M］.Beijing：Higher Education Press，2013：85-91.

闻邦椿.机械设计手册：疲劳强度与可靠性设计［M］.北京：机械工业出版社，2015：41-61.

WEN Bangchun.Machine design handbook：fatigue strength and reliability design［M］.Beijing：China Machine Press，2015：41-61.

王正，谢里阳.机械时变可靠性理论与方法［M］.北京：科学出版社，2012：79-82.

WANG Zheng，XIE Liyang.Theory and method of mechanical time-dependent reliability［M］.Beijing：Science Press，2012：79-82.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Response Surface Optimization of Flexspline based on Parameter Sensitivity

Related Author

Shijie Chen

Jiahao Li

Baisheng Wu

Related Institution

School of Electromechanical Engineering，Guangdong University of Technology

⁰