外文翻译--可靠性仿真与优化设计机械维修 英文版.pdf

CHINESEJOURNALOFMECHANICALENGINEERINGVOL22,ANO4,A2009594DOI103901/CJME200904594,AVAILABLEONLINEATWWWCJMENETCOM；WWWCJMENETCOMCNRELIABILITYSIMULATIONANDDESIGNOPTIMIZATIONFORMECHANICALMAINTENANCELIUDESHUN,HUANGLIANGPEI,YUEWENHUI,ANDXUXIAOYANHUNANPROVINCIALKEYLABORATORYOFHEALTHMAINTENANCEFORMECHANICALEQUIPMENTHUNANUNIVERSITYOFSCIENCEANDTECHNOLOGY,XIANGTAN411201,CHINARECEIVEDSEPTEMBER8,2008；REVISEDAPRIL16,2009；ACCEPTEDAPRIL30,2009；PUBLISHEDELECTRONICALLYMAY5,2009ABSTRACTRELIABILITYMODELOFAMECHANICALPRODUCTSYSTEMWILLBENEWLYRECONSTRUCTEDANDMAINTENANCECOSTWILLINCREASEBECAUSEFAILEDPARTSCANBEREPLACEDWITHNEWCOMPONENTSDURINGSERVICE,WHICHSHOULDBEACCOUNTEDFORINSYSTEMDESIGNINTHISPAPER,ARELIABILITYMODELANDRELIABILITYBASEDDESIGNOPTIMIZATIONMETHODOLOGYFORMAINTENANCEAREPRESENTEDFIRST,BASEDONTHETIMETOFAILUREDENSITYFUNCTIONOFTHEPARTOFTHESYSTEM,THEAGEDISTRIBUTIONSOFALLPARTSOFTHESYSTEMDURINGSERVICEAREINVESTIGATED,ARELIABILITYMODELOFTHEMECHANICALSYSTEMFORMAINTENANCEISDEVELOPEDTHEN,RELIABILITYSIMULATIONSOFTHESYSTEMSWITHWEIBULLPROBABILITYDENSITYFUNCTIONSAREPERFORMED,THESYSTEMMINIMUMRELIABILITYANDSTEADYRELIABILITYFORMAINTENANCEAREDEFINEDBASEDONRELIABILITYSIMULATIONDURINGTHELIFECYCLEOFTHESYSTEMTHIRDLY,AMAINTENANCECOSTMODELISDEVELOPEDBASEDONREPLACEMENTRATESOFTHEPARTS,ARELIABILITYBASEDDESIGNOPTIMIZATIONMODELFORMAINTENANCEISPRESENTED,INWHICHTOTALLIFECYCLECOSTISCONSIDEREDASDESIGNOBJECTIVEANDSYSTEMRELIABILITYASDESIGNCONSTRAINFINALLY,THERELIABILITYBASEDDESIGNOPTIMIZATIONMETHODOLOGYFORMAINTENANCEISUSEDTODESIGNOFALINKRINGFORTHECHAINCONVEYOR,WHICHSHOWSTHATOPTIMALDESIGNWITHTHELOWESTMAINTENANCECOSTCANBEOBTAINED,ANDMINIMUMRELIABILITYANDSTEADYRELIABILITYOFTHESYSTEMCANSATISFYREQUIREMENTOFSYSTEMRELIABILITYDURINGSERVICEOFTHECHAINCONVEYORKEYWORDSMAINTENANCE,RELIABILITY,SIMULATION,DESIGNOPTIMIZATION1INTRODUCTION∗DURINGTHELIFECYCLEOFAMECHANICALPRODUCT,MAINTENANCE,WHICHISIMPLEMENTEDONTHEJUDGMENTOFPRACTICALSTATES,PRESERVATIONANDRECONSTRUCTIONOFSOMECERTAINSTATESFORTHEPRODUCT,ISVERYIMPORTANTTOKEEPTHEPRODUCTAVAILABLEANDPROLONGITSLIFESTUDIESONMAINTENANCEFORMECHANICALPRODUCTSAREROUGHLYCLASSIFIEDINTOTHEFOLLOWINGTHREECATALOGS1HOWTOFORMULATEMAINTENANCEPOLICYORANDHOWTOOPTIMIZEMAINTENANCEPERIODSCONSIDERINGSYSTEMRELIABILITYANDMAINTENANCECOST,EG,WHENSYSTEMRELIABILITYISSUBJECTEDTOSOMECERTAINCONDITIONS,MAINTENANCEPOLICYANDOPTIMALMAINTENANCEINTERVALAREDETERMINEDTOMAKEMAINTENANCECOSTLOWEST1−42TODEVELOPMAINTENANCEMETHODSANDTOOLSTOENSURESYSTEMMAINTENANCETOBOTHLOWCOSTANDSHORTREPAIRTIME,SUCHASSPECIALMAINTENANCETOOLBOXESDEVELOPED5−93TODESIGNFORMAINTENANCEDFM,NAMELYDURINGDESIGNPROCEDURE,SYSTEMMAINTAINABILITYISEVALUATEDANDCORRESPONDINGAUTHOREMAILLIUDESHUNHNUSTEDUCNTHISPROJECTISSUPPORTEDBYNATIONALBASICRESEARCHPROGRAMOFCHINA973PROGRAM,GRANTNO2003CB317001,SCIENTIFICRESEARCHFUNDOFHUNANPROVINCIALEDUCATIONDEPARTMENTOFCHINAGRANTNO07A018,HUNANPROVINCIALNATURALSCIENCEFOUNDATIONOFCHINAGRANTNO07JJ5074,ANDNATIONALNATURALSCIENCEFOUNDATIONOFCHINAGRANTNO50875082ISIMPROVED10−14MAINTENANCESTARTSATDESIGNOBVIOUSLY,DESIGNMETHODOLOGYFORMAINTENANCE,WHICHISONEOFBESTEFFECTIVEMAINTENANCEMEANSINTHELIFECYCLEOFAPRODUCT,ATTRACTSMANYRESEARCHERS’INTERESTSHOWEVER,RESEARCHONDESIGNFORMAINTENANCEISMAINLYCENTRALIZEDONTWOFIELDSONEISMAINTAINABILITYEVALUATIONONPRODUCTDESIGNALTERNATIVES,THEOTHERISSOMEPECULIARSTRUCTURESOFPARTSDESIGNEDFORCONVENIENTMAINTENANCEFOREXAMPLE,COMPUTERAIDEDMAINTAINABILITYEVALUATIONTOOLSFORPRODUCTDESIGN11,PRODUCTASSEMBLYANDDISASSEMBLYSIMULATIONPROGRAMSFORMAINTENANCE12,AIRPLANEDESIGNFORMAINTENANCE13,ANDSOONBUTSTUDIESONDESIGNMETHODOLOGIESCONSIDERINGPRODUCTRELIABILITY,MAINTENANCECOSTANDMAINTENANCEPOLICYARESELDOMREPORTEDSHUANDFLOWERONCEPOINTEDOUTTHATRECKONINGINLABORCOSTANDPRODUCTIONINTERVALCOST,DESIGNDECISIONOFALTERNATIVESOFTHEPARTWOULDBEINFLUENCEDHOWEVER,SUBSEQUENTRESEARCHREPORTSHAVENOTBEENPRESENTED15INTHISPAPER,BASEDONTHETIMETOFAILUREDENSITYFUNCTIONOFTHEPART,DISTRIBUTIONSOFSERVICEAGEOFPARTSFORAMECHANICALSYSTEMTHATUNDERGOESMAINTENANCEAREINVESTIGATEDTHENTHERELIABILITYMODELOFTHEMECHANICALSYSTEMISRECONSTRUCTEDANDSIMULATEDFINALLY,ANOVELDESIGNOPTIMIZATIONMETHODOLOGYFORMAINTENANCEISDEVELOPEDANDILLUSTRATEDBYMEANSOFDESIGNOFALINKRINGFORTHECHAINCONVEYORCHINESEJOURNALOFMECHANICALENGINEERING5952RECONSTRUCTIONOFRELIABILITYMODELOFMECHANICALSYSTEMFORMAINTENANCE21MODELASSUMPTIONSAFTERAMECHANICALSYSTEMRUNSSOMETIME,DUETOREPLACEMENTOFFAILPARTS,PRIMARYRELIABILITYMODELISINAPPLICABLETOCHANGEDSYSTEM,THUSTHERELIABILITYMODELSHOULDBERECONSTRUCTEDTHEMECHANICALSYSTEMDISCUSSEDINTHISPAPERHASFOLLOWINGCHARACTERISTICS1SYSTEMCONSISTSOFALARGENUMBEROFSAMETYPEPARTS,INWHICHTHENUMBEROFPARTSISCONSTANTDURINGTHEWHOLELIFECYCLEOFTHESYSTEM2THETIMETOFAILUREDENSITYDISTRIBUTIONFUNCTIONSOFALLPARTSARETHESAME,ALSO,REPLACEMENTPARTSHAVETHESAMEFAILUREDISTRIBUTIONFUNCTIONSASTHEORIGINALPARTS3FAILUREOFEACHPARTISARANDOMINDEPENDENTEVENT,IE,FAILUREOFONEPARTDOESNOTAFFECTFAILUREOFOTHERPARTSINTHESYSTEMFOREXAMPLE,ACHAINCONVEYORWIDELYUSEDINMANYINDUSTRIESCONSISTSOFALARGENUMBEROFSAMEROUNDRINGS,SAMELINKSHEETSANDSAMESCRAPEBOARDSTHEIRRESPECTIVENUMBERSARECONSTANTAFTERTHECHAINCONVEYORISPUTINTOTHESERVICEALSO,EACHPART,BEINGSUBJECTEDTOSIMILARWORKCONDITIONSANDSIMILARFAILURESTATES,HASTHESAMEORIDENTICALDENSITYDISTRIBUTIONOFTIMETOFAILUREMOREOVER,REPLACEMENTPARTSHAVEFAILURETIMEDENSITYFUNCTIONSAMEORIDENTICALTOTHEORIGINALPARTSDURINGTHESERVICEOFTHECHAINCONVEYOR22RELIABILITYMODELINGFORMAINTENANCERELIABILITYOFAMECHANICALSYSTEMDEPENDSONITSPARTS,YETRELIABILITYANDFAILUREPROBABILITYOFWHICHRESTONTHEIRSERVICEAGESHEREIN,ACCORDINGTOTHEDENSITYDISTRIBUTIONFUNCTIONOFTIMETOFAILUREOFTHEPART,PARTSERVICEAGEDISTRIBUTIONOFTHEMECHANICALSYSTEMISCALCULATED,THENRELIABILITYMODELOFTHEMECHANICALSYSTEMFORMAINTENANCEISDEVELOPEDDURINGTHESERVICEOFAMECHANICALSYSTEM,SOMEPARTSTHATFAILREQUIRETOBEREPLACEDINTIME,HENCEAGEDISTRIBUTIONOFPARTSOFTHEMECHANICALSYSTEMUNDERGOINGMAINTENANCEHASBEENCHANGEDSUPPOSEDTHATAFTERTHEMECHANICALSYSTEMRUNSSOMETIMENTNΤ,WHEREΤISTIMEBETWEENMAINTENANCEACTIVITIES,IE,MAINTENANCEINTERVAL,THEUNITOFΤCANBEHOURS,DAYS,MONTHS,ORYEARSIFINPTREPRESENTSAGEPROPORTIONOFPARTSATNTWITHAGEIΤ,THUSAGEDISTRIBUTIONOFPARTSATTIMENTDENOTESMATRIX01{,,,NNPTPT,,INPT}NNPTTHEFAILUREDENSITYFUNCTIONOFPARTSANDCURRENTAGEDISTRIBUTIONOFPARTSINTHESYSTEMDETERMINEAGEDISTRIBUTIONATNEXTTIME,ORTHEPORTIONOFTHECONTENTSOFEACHBINTHATSURVIVETOTHENEXTTIMESTEPANAGEDISTRIBUTIONOBTAINEDATEACHTIMESTEPFOREACHPARTPOPULATIONDETERMINESFAILURERATEFORTHEFOLLOWINGTIMESTEPTOFINDFAILUREPROBABILITYOFPARTSTHEFAILUREDENSITYFUNCTIONISINTEGRATEDFROMZEROTONTTHEPORTIONOFTHEPOPULATIONTHATSURVIVESADVANCESTOTHENEXTAGEBOX,ANDTHEPORTIONTHATFAILISREPLACEDBYNEWPARTSTOBECOMEZEROAGETOREENTERTHEFIRSTBOXINITIALLY,ALLPARTSARENEWANDZEROAGEINTHEFIRSTBOXTHATIS,AT00T,THEPORTIONINTHEFIRSTBOXIS001PT1AT1TΤ,AGEFRACTIONSOFTHEFIRSTBOXANDTHESECONDBOXAREREPRESENTEDAS11000010001D,DPTPTFXXPTPTFXXΤΤ⎧⎡⎤−⎪⎢⎥⎣⎦⎨⎪⎩∫∫2PORTIONSOFBOTHAGEBOXESSURVIVEANDADVANCETOTHENEXTAGEBOX,ANDPORTIONSOFFAILEDPARTSFROMBOTHBOXESREPLACEDBYNEWPARTSAPPEARINTHEFIRSTBOXAT22TΤ,THEPROPORTIONSOFTHEFIRSTTHREEBOXESARECALCULATEDASFOLLOWS222110120102021101001D,1D,DD,PTPTFXXPTPTFXXPTPTFXXPTFXXΤΤΤΤ⎧⎡⎤−⎪⎢⎥⎣⎦⎪⎡⎤⎪−⎪⎢⎥⎨⎣⎦⎪⎪⎪⎪⎩∫∫∫∫3SO,ATNTNΤ,PORTIONSOFPARTSINEACHBOXARECALCULATEDBYUSINGTHEFOLLOWINGEQUATIONS110112102231033210221101D,1D,1D,1D,1D,NNNNNNNNNNNNNNNNNNNPTPTFXXPTPTFXXPTPTFXXPTPTFXXPTPTFXXPΤΤΤΤΤ−−−−−−−−−−−−⎡⎤−⎢⎥⎣⎦⎡⎤−⎢⎥⎣⎦⎡⎤−⎢⎥⎣⎦⎡⎤−⎢⎥⎣⎦⎡⎤−⎢⎥⎣⎦∫∫∫∫∫10101101001D,DNNNININITPTFXXPTPTFXXΤΤ−−−⎧⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎡⎤⎪−⎢⎥⎣⎦⎪⎪⎪⎪⎩∫∑∫4WHERE0NPTISTHEFRACTIONOFPOPULATIONOFPARTSWITHAGE0ATNT,REPRESENTINGPARTSTHATHAVEJUSTBEENPUTINTOSERVICEITMEANSTHAT0NPTISFAILURERATEOFPARTS,ORREPLACEMENTRATEOFFAILEDPARTSINOTHERWORD，THEFRACTIONSOFPARTSINTHEFIRSTBOXAT01,,,NTTTARENEWPARTSTHATREPLACETHESEFAILEDPARTSASERIESSYSTEMCONSISTSOFNPARTSTHATHAVETHESAMEFAILUREDENSITYDISTRIBUTION,EACHPARTISJUSTASERIESUNIT,ANDEACHUNITISRELATIVELYINDEPENDENTINSERIESSYSTEMTHEYLIUDESHUN,ETALRELIABILITYSIMULATIONANDDESIGNOPTIMIZATIONFORMECHANICALMAINTENANCEY596FAILUREOFANYONEUNITRESULTSINSYSTEMFAILURE,INACCORDINGTOTHEPRINCIPLEOFPROBABILITYMULTIPLICATION,THERELIABILITYOFSERIESSYSTEMSBECOMES001DINPTNNINIRTFXXΤ⎡⎤′−⎢⎥⎣⎦∏∫5SINCETHENUMBEROFPARTSTHATCOMPRISETHESYSTEMISCONSTANT,HERE,THESYSTEMRELIABILITYOFTHEMECHANICALSYSTEMFORMAINTENANCEISDEFINEDAS001DINNNNPTNNINIRTRTFXXΤ′⎡⎤−⎢⎥⎣⎦∏∫001DINPTNIIFXXΤ⎡⎤−⎢⎥⎣⎦∏∫6FROMABOVETOSEE,ASLONGASTHETIMETOFAILUREDENSITYFUNCTIONANDMAINTENANCEINTERVALAREGIVEN,SERVICEAGEDISTRIBUTIONSOFPARTSANDSYSTEMRELIABILITYCOULDBEOBTAINEDBYSIMULATION3REPLACEMENTRATEANDRELIABILITYSIMULATIONFORMAINTENANCE31WEIBULLDISTRIBUTIONOFTIMETOFAILURETHEWEIBULLPROBABILITYDENSITYFUNCTIONISWIDELYUSEDINFAILUREMODELINGINMECHANICALPARTSANDELECTRONICCOMPONENTSHERETHEWEIBULLDISTRIBUTIONWITHTWOPARAMETERSISUSEDTOSIMULATERELIABILITYOFTHESYSTEMTHATISUNDERGOINGMAINTENANCE,THATIS,THETIMETOFAILUREDENSITYFUNCTIONOFSYSTEM’SCONSTITUTEDPARTSIS1EXP,0XXFXXΑΑΑΑΒΒ−⎛⎞⎛⎞⎜⎟−≤∞⎜⎟⎝⎠7INEQ7,ΑISTHESHAPEPARAMETER,ΒISTHESCALEPARAMETERXISTIME,WHOSEUNITECANBEHOURS,DAYS,ORYEARSFIVEFAILUREDENSITYFUNCTIONSWITHTHEIRWEIBULLPARAMETERS10,1,2,3,4,5ΒΑAREDESCRIBEDINFIG1ITISSHOWNTHATΑISLARGE,BEFORESERVICEAGEOFPARTSARRIVESATTHEEXPECTEDVALUE,FAILUREPROBABILITYOFPARTSISEXTREMELYLOWWHEREAS,ΑISSMALL,MANYPARTSFAILSINSHORTTIMEOFSERVICE32RELIABILITYSIMULATIONDIFFERENTMAINTENANCEINTERVALOFTHEMECHANICALSYSTEMANDDIFFERENTTIMETOFAILUREDENSITYFUNCTIONOFITSPARTSARESELECTEDTOSIMULATERELIABILITYOFTHESYSTEMSHOWNASFIG2−FIG4FIG2SHOWSHOWSIMULATIONTIMESTEPMAINTENANCEINTERVALAFFECTSSYSTEMRELIABILITY,THEPLOTSSHOWNCORRESPONDTOMAINTENANCEINTERVAL05,1,2Τ,ANDWITHWEIBULLDISTRIBUTIONPARAMETERS4,10ΑΒFIG3PLOTSTHEINFLUENCEOFTHESCALEPARAMETERΒOFWEIBULLDISTRIBUTIONONSYSTEMRELIABILITY,ANDFOURCURVESREPRESENTFOURDIFFERENTTYPEPARTSCORRESPONDINGTOACONSTANTVALUEOFΑEQUALTO4PAIREDWITHΒVALUEOF8,10,12,15RESPECTIVELYFIG4REVEALSHOWTHESHAPEPARAMETERΑOFWEIBULLDISTRIBUTIONAFFECTSSYSTEMRELIABILITY,ANDWEIBULLDISTRIBUTIONPARAMETERSOFFIVECURVESARE10,Β1,2,3,4,5ΑCORRESPONDINGLY,THEIRREPLACEMENTRATECURVESOFSYSTEM’SPARTSFORTHESETIMETOFAILUREDENSITYDISTRIBUTIONFUNCTIONSAREPLOTTEDINFIG5ADDITIONALLY,INFIG3−FIG5,MAINTENANCEINTERVALIS1ΤFIG1WEIBULLPROBABILITYDISTRIBUTIONSFIG2SYSTEMRELIABI