基于PCE的谐波减速器动态精度不确定性分析

doi:10.13700/j.bh.1001-5965.2017.0305

北京航空航天大学学报 ›› 2018, Vol. 44 ›› Issue (5): 1056-1065.doi: 10.13700/j.bh.1001-5965.2017.0305

基于PCE的谐波减速器动态精度不确定性分析

张金洋^1,2, 张建国^1,2, 彭文胜^1,3, 刘育强⁴, 汪龙⁵

1. 北京航空航天大学可靠性与系统工程学院, 北京 100083;
2. 北京航空航天大学可靠性与环境工程重点实验室, 北京 10008;
3. 中国航空综合技术研究所, 北京 100028;
4. 中国空间技术研究院总体部, 北京 100029;
5. 北京卫星制造厂, 北京 100094

收稿日期:2017-05-12 出版日期:2018-05-20 发布日期:2017-09-18
通讯作者: 张建国 E-mail:zjg@buaa.edu.cn
作者简介:张金洋,男,硕士研究生。主要研究方向:机械产品可靠性;张建国,男,博士,教授,博士生导师。主要研究方向:机械产品可靠性、机电产品可靠性;彭文胜,男,博士研究生。主要研究方向:机械设计、机电产品可靠性设计。
基金资助:
国家“973”计划（2013CB733000）

Dynamic accuracy uncertainty analysis of harmonic reducer based on PCE

ZHANG Jinyang^1,2, ZHANG Jianguo^1,2, PENG Wensheng^1,3, LIU Yuqiang⁴, WANG Long⁵

1. School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
2. Science and Technology on Reliability and Engineering Laboratory, Beijing University of Aeronautics and Astronautics, Beijing 10008;
3. AVIC China Aero-poly Technology Establishment, Beijing 100028, China;
4. Institute of Spacecraft System Engineering CAST, Beijing 100029, China;
5. Beijing Satellite Manufacturer, Beijing 100094, China

Received:2017-05-12 Online:2018-05-20 Published:2017-09-18

摘要/Abstract

摘要： 谐波减速器的动态精度不仅与其各个部件的制造公差和装配间隙有关，还必须考虑谐波减速器柔性和摩擦的影响。目前谐波减速器精度问题研究大多只考虑单一因素，在进行精度分析时没有考虑到模型参数的不确定性对精度的影响。本文研究了谐波减速器在静态因素（加工、装配）和动力学因素（柔性、摩擦）综合作用下的动态精度问题；建立了考虑静态误差、柔性的非线性动力学模型；利用多项式混沌展开（PCE）方法进行参数灵敏度分析和不确定性分析，并和Monte Carlo方法作了比较，结果表明PCE方法效率更高。并基于动态精度PCE进行可靠性分析，得到动态精度可靠度。

关键词: 谐波减速器, 动态精度, 多项式混沌展开(PCE), 灵敏度分析, 可靠性分析

Abstract: The dynamic accuracy of the harmonic reducer is related to the parts' tolerance and assembly clearance as well as the flexibility and friction of the harmonic reducer. Most of the published literatures consider only a single factor and do not take into account the influence of model parameter uncertainty. In this paper, the dynamic accuracy is researched considering static factors (machining and assembly) and dynamic characteristics (flexibility and friction). The nonlinear dynamic model is established, which contains static error and flexibility term. Polynomial chaos expansion (PCE) is used to handle the parameter sensitivity and uncertainty. By comparison, PCE is more efficient than Monte Carlo. Dynamic accuracy reliability is finally obtained through reliability analysis based on dynamic accuracy PCE.

Key words: harmonic reducer, dynamic accuracy, polynomial chaos expansion (PCE), sensitivity analysis, reliability analysis

中图分类号:

V442

张金洋, 张建国, 彭文胜, 刘育强, 汪龙. 基于PCE的谐波减速器动态精度不确定性分析[J]. 北京航空航天大学学报, 2018, 44(5): 1056-1065.

ZHANG Jinyang, ZHANG Jianguo, PENG Wensheng, LIU Yuqiang, WANG Long. Dynamic accuracy uncertainty analysis of harmonic reducer based on PCE[J]. JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2018, 44(5): 1056-1065.

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基于PCE的谐波减速器动态精度不确定性分析

Dynamic accuracy uncertainty analysis of harmonic reducer based on PCE

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