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工程设计学报
工程设计学报  2015, Vol. 22 Issue (5): 425-430    DOI: 10.3785/j.issn. 1006-754X.2015.05.004
保质设计     
基于Copula函数的2.5 MW风电齿轮箱齿轮可靠性分析
陈文华1，郑朝朋1，李奇志1，潘 骏1，贺青川1，潘晓东2
1. 浙江理工大学 浙江省机电产品可靠性技术研究重点实验室，浙江 杭州 310018；
2. 杭州前进齿轮箱集团股份有限公司，浙江 杭州 311203
Gear reliability analysis of 2.5 MW wind turbine gearboxbased on Copula function
CHEN Wen-hua1, ZHENG Chao-peng1, LI Qi-zhi1, PAN Jun1, HE Qing-chuan1, PAN Xiao-dong2
1. Key Laboratory of Reliability Technology for Mechanical and Electrical Product of Zhejiang Province, Zhejiang Sci-Tech University, Hangzhou 310018, China;
2. Hangzhou Advance Gearbox Group Co., Ltd., Hangzhou 311203, China
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摘要： 针对2.5 MW风电齿轮箱齿轮可靠性分析时，需考虑其接触疲劳和弯曲疲劳失效的相关性问题，根据风场长年监测数据，利用雨流计数法得到了其载荷谱，利用Romax Designer软件建立了2.5 MW风电齿轮箱的传动系统模型；利用其齿轮部件分析模块计算并统计得到了各齿轮的接触应力与弯曲应力分布；应用应力—强度干涉模型并基于Copula函数建立了考虑接触疲劳和弯曲疲劳相关性的齿轮疲劳可靠性计算模型；应用蒙特卡罗法对应力和疲劳强度抽样，并利用离差平方和最小值原理和MATLAB优化工具箱估计了Copula函数的参数，并计算出各齿轮的疲劳可靠度.研究结果为改进2.5 MW风电齿轮箱设计、提高其可靠性提供理论依据.
关键词： 风电齿轮箱;  疲劳可靠性;  载荷谱;  Copula函数    
Abstract: In order to research gear reliability of 2.5 MW wind turbine gearbox considering relativity of contact fatigue and bending fatigue, based on the many years monitoring data of experiment wind load, the Load Duration Distribution (LDD) was determined with the Rain-flow Method. The transmission system model of 2.5 MW wind turbine was obtained based on Romax Designer software. Contact stress and bending stress were calculated by taking LDD into the transmission system model. So the distribution of contact and bending stress were determined with statistic method. Based on the Copula function the gear reliability calculation model which took the correlation of contact and bending fatigue into consideration was determined under the dependency between contact fatigue and bending fatigue with the use of stress-strength interference model. Stress and fatigue strength sampling was generated by Monte Carlo sampling method. Copula function parameter was estimated by Residual Square Sum (RSS) and optimized by MATLAB toolbox. Then each gear fatigue reliability was calculated. It provides the theoretical basis to improve the reliability of 2.5 MW wind turbine gearbox.
Key words: wind turbine gearbox    fatigue reliability    load spectrum    Copula function
收稿日期: 2015-06-09 出版日期: 2015-10-28
基金资助:

国家国际科技合作专项项目资助（2015DFA71400）；浙江省重点科技创新团队项目（2010R50005）
作者简介: 陈文华（1963—），男，浙江杭州人，教授，博士生导师，博士，从事机电产品可靠性研究，E-mail:chenwh@zstu.edu.cn.
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引用本文:

陈文华，郑朝朋，李奇志，潘 骏，贺青川，潘晓东. 基于Copula函数的2.5 MW风电齿轮箱齿轮可靠性分析[J]. 工程设计学报, 2015, 22(5): 425-430.

CHEN Wen-hua, ZHENG Chao-peng, LI Qi-zhi, PAN Jun, HE Qing-chuan, PAN Xiao-dong. Gear reliability analysis of 2.5 MW wind turbine gearboxbased on Copula function. Chinese Journal of Engineering Design, 2015, 22(5): 425-430.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn. 1006-754X.2015.05.004    或    https://www.zjujournals.com/gcsjxb/CN/Y2015/V22/I5/425

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