2023年第47卷第5期JournalofMechanicalTransmission基于多元退化数据的RV减速器可靠性评估李金峰1,2杨翊坤1,2王西峰2姚良博1肖建明1(1中机生产力促进中心有限公司,北京100044)(2中国机械科学研究总院集团有限公司,北京100044)摘要针对RV减速器的可靠性评估需求,结合减速器传动误差及回差的性能退化试验数据,分别建立了可用于描述减速器性能退化过程的Gamma过程传动误差及回差退化模型,利用最大似然估计法对退化模型参数进行估计。以上述两种模型作为一元边缘分布函数,通过Copula函数建立了RV减速器二元退化模型,并对该减速器的可靠性及预期失效寿命进行了评估。结果表明,基于传动误差和回差退化模型的可靠度评估结果与试验结果基本一致,模型能够较为准确地描述RV减速器的性能退化过程。GaussianCopula函数较适合描述RV减速器二元退化指标间的相关性;采用该函数可得出该工况条件下RV减速器在任意可靠度时的预估失效寿命。关键词RV减速器可靠性评估Gamma过程Copula函数ReliabilityEvaluationofRVReducersBasedonMultiDegenerateDataLiJinfeng1,2YangYikun1,2WangXifeng2YaoLiangbo1XiaoJianming1(1ChinaProductivityCenterMachineryCo.,Ltd.,Beijing100044,China)(2ChinaAcademyOfMachineryScienceandTechnologyGroupCo.,Ltd.,Beijing100044,China)AbstractAimingatthedemandforreliabilityevaluationofRVreducers,theGammamodels,whichcanrepresenttheperformancedegenerateprocessofreducers,areestablishedrespectivelycombiningwithtransmissionerrordataandbacklashdataofreducerperformancedegeneratetest.Amaximumlikelihoodestimationmethodisappliedtoestimatetheparametersofdegeneratemodels.Takingthemodelsaboveasmarginaldistributionfunctions,abinarydegeneratemodelofRVreducersisestablishedthroughCopulafunction.ThereliabilityandexpectedfailurelifeofRVreducersareevaluated.Theresultsshowthatthereliabilityevaluatedbydegeneratemodelsbasedontransmissionerrorandbacklashisessentiallyinagreewiththetestresults.ThemodelscanrepresentthedegenerateprocessofRVreducersaccurately.GaussianCopulafunctionismoresuitableforrepresentingthecorrelationbetweentransmissionerrordegeneratedataandbacklashdegeneratedata.Throughthebinarydegeneratemodel,theexpectedfailurelifeofRVreducerscanbeevaluate...