基于失效物理相关性的风电齿轮箱可靠性分析
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摘要
针对传统独立失效理论已不能适用于工程实际,与失效相关有关的数学模型对相关性本质的描述往往较为模糊的问题,从失效物理的角度,以1.5 MW风电齿轮箱为研究对象,针对齿轮两失效模式间的失效相关,综合考虑应力相关和强度相关,结合全概率公式建立了考虑强度退化的失效相关联合分布.从失效机理和本质上对风电齿轮箱进行可靠性分析,分析结果表明:失效相关的实质为齿轮的强度和应力中公共随机变量间具有一定的关联性,对风电齿轮箱传动系统的可靠性影响较大.
Aimed at the problem that the traditional independent failure theory has been inapplicable to engineering practice and the characterization of the dependency nature with a mathematical model associated with failure-dependence is often comparatively blurring.Therefore,by means of taking a 1.5 MW wind turbine gearbox as research object,starting from the view point of failure physics,aimed at the failure dependence between any two failure modes of each individual gear in wind turbine gearbox,considering comprehensively the stress dependence and strength dependence,and incorporated with the formula of total probability,the failure dependence joint distribution is established when the strength degradation is taken into consideration.The reliability of wind turbine gearbox is analyzed in connection with the failure mechanism and nature.The analysis result shows that the essence of failure dependence is that there is a certain correlation among the common random variables of gear strength and stress,having agreater impact on the reliability of the wind turbine gearbox transmission system.
Aimed at the problem that the traditional independent failure theory has been inapplicable to engineering practice and the characterization of the dependency nature with a mathematical model associated with failure-dependence is often comparatively blurring.Therefore,by means of taking a 1.5 MW wind turbine gearbox as research object,starting from the view point of failure physics,aimed at the failure dependence between any two failure modes of each individual gear in wind turbine gearbox,considering comprehensively the stress dependence and strength dependence,and incorporated with the formula of total probability,the failure dependence joint distribution is established when the strength degradation is taken into consideration.The reliability of wind turbine gearbox is analyzed in connection with the failure mechanism and nature.The analysis result shows that the essence of failure dependence is that there is a certain correlation among the common random variables of gear strength and stress,having agreater impact on the reliability of the wind turbine gearbox transmission system.
引文
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[3]JOSE E R,DAVID W C.Optimization of system reliability in the presence of common cause failures[J].Reliability Engineering and System Safety,2007,92:1421-1434.
[4]何成铭,王健全,吴炜.考虑多模相关的机械系统可靠度优化模型[J].机械强度,2010,32(2):233-237.
[5]SONG J,KANG W H.Matrix-based system reliability method and applications to structural systems[C]//Proceedings of the18th ASCE Engineering Mechanics Division Conference,Blacksburg:[s.n.],2007:441-457.
[6]YU H,MA L,MATHEW J,et al.Reliability optimization of a redundant system with failure dependencies[J].Reliability Engineering and System Safety,2007,92(12):1627-1634.
[7]韩文钦,周金宇,孙奎洲.失效模式相关的机械结构可靠性的Copula分析方法[J].中国机械工程,2011,22(3):278-281.
[8]何成铭,吴纬,孟庆均.基于Copula的机械系统可靠性模型及其应用[J].兵工学报,2012,33(3):379-382.
[9]韩文钦,周金宇,朱福先.基于Copula失效相关结构系统的失效概率计算[J].机械设计与制造,2011,24(2):183-185.
[10]张明珠.基于Copula函数对相依部件系统可靠度的度量和改进[J].许昌学院学报,2005,24(2):14-17.
[11]易文德,卫贵武.基于Copula函数的相依部件表决系统的可靠性研究[J].西南师范大学学报(自然科学版),2007,32(6):53-55.
[12]易文德.应用Copula探讨可靠性理论中的相依性[D].成都:西南交通大学,2005.
[13]唐家银,何平,宋东利.基于Copula函数的失效相关构件可靠度计算[J].机械强度,2010,32(5):740-744.
[14]唐家银,赵永翔,何平.零件失效相关表决系统Copula可靠性模型[J].机械设计,2010,27(7):24-28.
[15]陈贤芳,孙永波.基于Copula的部件相依并联系统模糊可靠性分析[J].电子质量,2009,27(9):30-32.
[16]刘强.基于失效物理的性能可靠性技术及应用研究[D].长沙:国防科学技术大学,2015.
[17]寇海霞,安宗文,刘波,等.基于贝叶斯网络的风电齿轮箱可靠性分析[J].兰州理工大学学报,2016,42(1):43-44.
[18]刘春玲,刘波,许洁,等.风电齿轮箱太阳轮的动态可靠性分析[J].兰州理工大学学报,2013,39(5):28-31.
[19]林孟炽,吕美航.渐开线圆柱齿轮的可靠性计算[J].机械设计,1985(3):31-40.