China Mechanical Engineering ›› 2021, Vol. 32 ›› Issue (17): 2032-2039.DOI: 10.3969/j.issn.1004-132X.2021.17.003

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Meta-action-oriented Reliability Allocation Method of Mechanical Transmission Systems

CHEN Yifan1,2;ZHANG Genbao1,2,3;RAN Yan1,2;LI Yulong1,2;YU Hui1,2   

  1. 1. College of Mechanical Engineering,Chongqing University,Chongqing,400044
    2. State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing,400044
    3. College of Mechanical Engineering,Chongqing University of Arts and Sciences,Chongqing,402160
  • Online:2021-09-10 Published:2021-09-23

面向元动作的机械传动系统可靠性分配方法

陈一凡1,2;张根保1,2,3;冉琰1,2;李宇龙1,2;庾辉1,2   

  1. 1. 重庆大学机械工程学院,重庆,400044
    2. 重庆大学机械传动国家重点实验室,重庆,400044
    3. 重庆文理学院机械工程学院,重庆,402160
  • 通讯作者: 张根保(通信作者),男,1953年生,教授、博士研究生导师。研究方向为先进制造技术、计算机集成制造系统、数控机床可靠性、现代质量工程、企业信息化等。E-mail:gen.bao.zhang@263.net。
  • 作者简介:陈一凡,男,1991年生,博士研究生。研究方向为数控机床可靠性技术和机电产品质量工程。
  • 基金资助:
    国家自然科学基金(51835001,51705048);
    国家科技重大专项(2018ZX04032-001,2019ZX04005-001)

Abstract: A reliability allocation method for mechanical transmission systems was proposed to quantify the uncertainty, aimed at the uncertainty in the reliability allocation of mechanical transmission systems. The minimum granularity of reliability allocation (i.e. meta-action) in transmission systems was extracted by the decomposition method of “function-motion-action (FMA)”. A method for calculating the sensitivity of the transmission systems was proposed based on the Sobol of LRA according to the reliability mathematical model of meta-action, which quantified the reliability sensitivity of meta-actions in the transmission systems, and the key meta-actions that affected the reliability of transmission systems were identified. The mapping relationship between the meta-action and the system reliability was established, and the mapping results were solved. The application results show that the method has high calculation accuracy and provides guidance for the reliability allocation of mechanical transmission systems.

Key words: mechanical transmission system, meta-action, Sobol method, low-rank approximations (LRA), reliability allocation

摘要: 针对机械传动系统可靠性分配中存在的不确定性问题,提出了一种对不确定性进行量化的机械传动系统可靠性分配方法。利用“功能运动动作”的分解方法提取了传动系统中可靠性分配的最小粒度(即元动作);根据元动作的可靠性数学模型,提出了一种基于低阶逼近的Sobol法的传动系统灵敏度计算方法,量化了传动系统中各个元动作的可靠性灵敏度,并甄别出影响传动系统可靠性的关键元动作;建立了元动作与系统整机可靠性的映射关系,并对映射结果进行了求解。应用结果表明,该方法具有较高的计算精度,为机械传动系统的可靠性分配提供了指导。

关键词: 机械传动系统, 元动作, Sobol法, 低阶逼近, 可靠性分配

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