外文翻译--鲁棒优化设计的多目标遗传算法 英文版.pdf外文翻译--鲁棒优化设计的多目标遗传算法 英文版.pdf

收藏 分享

资源预览需要最新版本的Flash Player支持。
您尚未安装或版本过低,建议您

AMULTIOBJECTIVEGENETICALGORITHMFORROBUSTDESIGNOPTIMIZATIONMIANLIGRADUATERESEARCHASSISTANTDEPARTMENTOFMECHANICALENGINEERINGUNIVERSITYOFMARYLANDCOLLEGEPARK,MD20742TEL13014054919EMAILMLI6UMDEDUSHAPOURAZARMPROFESSORDEPARTMENTOFMECHANICALENGINEERINGUNIVERSITYOFMARYLANDCOLLEGEPARK,MD20742TEL13014055250EMAILAZARMUMDEDUVIKRANTAUTEFACULTYRESEARCHASSISTANTDEPARTMENTOFMECHANICALENGINEERINGUNIVERSITYOFMARYLANDCOLLEGEPARK,MD20742TEL13014058726EMAILVIKRANTUMDEDUABSTRACTREALWORLDMULTIOBJECTIVEENGINEERINGDESIGNOPTIMIZATIONPROBLEMSOFTENHAVEPARAMETERSWITHUNCONTROLLABLEVARIATIONSTHEAIMOFSOLVINGSUCHPROBLEMSISTOOBTAINSOLUTIONSTHATINTERMSOFOBJECTIVESANDFEASIBILITYAREASGOODASPOSSIBLEANDATTHESAMETIMEARELEASTSENSITIVETOTHEPARAMETERVARIATIONSSUCHSOLUTIONSARESAIDTOBEROBUSTOPTIMUMSOLUTIONSINORDERTOINVESTIGATETHETRADEOFFBETWEENTHEPERFORMANCEANDROBUSTNESSOFOPTIMUMSOLUTIONS,WEPRESENTANEWROBUSTMULTIOBJECTIVEGENETICALGORITHMRMOGATHATOPTIMIZESTWOOBJECTIVESAFITNESSVALUEANDAROBUSTNESSINDEXTHEFITNESSVALUESERVESASAMEASUREOFPERFORMANCEOFDESIGNSOLUTIONSWITHRESPECTTOMULTIPLEOBJECTIVESANDFEASIBILITYOFTHEORIGINALOPTIMIZATIONPROBLEMTHEROBUSTNESSINDEX,WHICHISBASEDONANONGRADIENTBASEDPARAMETERSENSITIVITYESTIMATIONAPPROACH,ISAMEASURETHATQUANTITATIVELYEVALUATESTHEROBUSTNESSOFDESIGNSOLUTIONSRMOGADOESNOTREQUIREAPRESUMEDPROBABILITYDISTRIBUTIONOFUNCONTROLLABLEPARAMETERSANDALSODOESNOTUTILIZETHEGRADIENTINFORMATIONOFTHESEPARAMETERSTHREEDISTANCEMETRICSAREUSEDTOOBTAINTHEROBUSTNESSINDEXANDROBUSTSOLUTIONSTOILLUSTRATEITSAPPLICATION,RMOGAISAPPLIEDTOTWOWELLSTUDIEDENGINEERINGDESIGNPROBLEMSFROMTHELITERATURECATEGORIESANDSUBJECTDESCRIPTORSG16OPTIMIZATION–NONLINEARPROGRAMMING;GENERALTERMSDESIGN,ALGORITHMSKEYWORDSMULTIOBJECTIVEGENETICALGORITHMS,ROBUSTDESIGNOPTIMIZATION,PERFORMANCEANDROBUSTNESSTRADEOFF1INTRODUCTIONTHEREAREMANYENGINEERINGOPTIMIZATIONPROBLEMSINTHEREALWORLDTHATHAVEPARAMETERSWITHUNCONTROLLABLEVARIATIONSDUETONOISEORUNCERTAINTYTHESEVARIATIONSCANSIGNIFICANTLYDEGRADETHEPERFORMANCEOFOPTIMUMSOLUTIONSANDCANEVENCHANGETHEFEASIBILITYOFOBTAINEDSOLUTIONSTHEIMPLICATIONSOFSUCHVARIATIONSAREMORESERIOUSINENGINEERINGDESIGNPROBLEMSTHATOFTENHAVEABOUNDEDFEASIBLEDOMAINAND/ORWHERETHEOPTIMUMSOLUTIONSLIEONTHEBOUNDARYOFTHEFEASIBLEDOMAINMANYMETHODSANDAPPROACHESHAVEBEENPROPOSEDINTHELITERATURETOOBTAINROBUSTDESIGNSOLUTIONS;THATIS,FEASIBLEDESIGNALTERNATIVESTHATAREOPTIMUMINTHEIROBJECTIVESANDWHOSEOBJECTIVEPERFORMANCEORFEASIBILITYORBOTHISINSENSITIVETOTHEPARAMETERVARIATIONSGENERALLY,THOSEAPPROACHESCANBECLASSIFIEDINTOTWOTYPESSTOCHASTICAPPROACHESANDDETERMINISTICAPPROACHESSTOCHASTICAPPROACHESUSETHEPROBABILITYINFORMATIONOFTHEVARIABLEPARAMETERS,IE,THEIREXPECTEDVALUEANDVARIANCE,TOMINIMIZETHESENSITIVITYOFSOLUTIONSEG,PARKINSONETAL1,YUANDISHII2,JUNGANDLEE3FOROBJECTIVEROBUSTOPTIMIZATION;ANDDUANDCHEN4,CHENETAL5,TU,CHOIANDPARK6,7,YOUNETAL8ANDRAY9FORFEASIBILITYROBUSTOPTIMIZATION–ALSOCALLEDRELIABILITYOPTIMIZATIONALSO,JINANDSENDHOFF10PROPOSEDANEVOLUTIONARYAPPROACHTODEALWITHTHETRADEOFFBETWEENPERFORMANCEANDROBUSTNESSUSINGVARIANCEINFORMATIONTHEMAINSHORTCOMINGOFSTOCHASTICAPPROACHESISTHATTHEPROBABILITYDISTRIBUTIONFORTHEUNCONTROLLABLEPARAMETERSISKNOWNORPRESUMEDHOWEVER,ITISDIFFICULTOREVENIMPOSSIBLETOOBTAINSUCHINFORMATIONBEFOREHANDINREALWORLDENGINEERINGDESIGNPROBLEMSDETERMINISTICAPPROACHES,ONTHEOTHERHAND,OBTAINROBUSTOPTIMUMDESIGNSOLUTIONSUSINGGRADIENTINFORMATIONOFTHEPARAMETERSEG,BALLINGETAL11,SUNDARESANETAL12,13,ZHUANDTING14,LEEANDPARK15,SUANDRENAUD16,MESSACANDYAHAYA17ORUSINGANONGRADIENTBASEDPARAMETERSENSITIVITYESTIMATIONGUNAWANANDAZARM1821THEAIMOFTHEGUNAWANANDAZARM’SAPPROACH1821ISTOOBTAINOPTIMUMSOLUTIONSWHICHESSENTIALLYSATISFYANADDITIONALROBUSTNESSCONSTRAINTTHATISPRESCRIBEDBYTHEDECISIONMAKERDMINTHISPAPER,WEPRESENTANEWDETERMINISTICAPPROACHTOINVESTIGATETHETRADEOFFBETWEENTHEPERFORMANCEANDROBUSTNESSPERMISSIONTOMAKEDIGITALORHARDCOPIESOFALLORPARTOFTHISWORKFORPERSONALORCLASSROOMUSEISGRANTEDWITHOUTFEEPROVIDEDTHATCOPIESARENOTMADEORDISTRIBUTEDFORPROFITORCOMMERCIALADVANTAGEANDTHATCOPIESBEARTHISNOTICEANDTHEFULLCITATIONONTHEFIRSTPAGETOCOPYOTHERWISE,ORREPUBLISH,TOPOSTONSERVERSORTOREDISTRIBUTETOLISTS,REQUIRESPRIORSPECIFICPERMISSIONAND/ORAFEEGECCO’05,JUNE2529,2005,WASHINGTON,DC,USACOPYRIGHT2005ACM1595930108/05/0006500771OFOPTIMUMSOLUTIONS,BASEDONAMULTIOBJECTIVEGENETICALGORITHMMOGATHEGOALOFOURAPPROACHISTOSIMULTANEOUSLYOPTIMIZEIAMEASUREOFTHEOPTIMUMSOLUTIONS’PERFORMANCE,IE,THEFITNESSVALUE,THATACCOUNTSFOROBJECTIVEANDCONSTRAINTVALUESINTHEORIGINALOPTIMIZATIONPROBLEMDEFINEDINSECTION2,ANDIIAMEASUREOFTHEOPTIMUMSOLUTIONS’ROBUSTNESS,THEROBUSTNESSINDEX,ORIGINALLYPROPOSEDBYGUNAWANANDAZARM1821,EXTENDEDINTHISPAPERWITHTHEUSEOFTWOADDITIONALDISTANCENORMSTHISAPPROACHISADETERMINISTICMETHODUSINGNONGRADIENTBASEDPARAMETERSENSITIVITYESTIMATION,WHICHCANBEAPPLIEDTOOPTIMIZATIONPROBLEMSHAVINGOBJECTIVEAND/ORCONSTRAINTFUNCTIONSTHATARENONDIFFERENTIABLEWITHRESPECTTOTHEPARAMETERSANYMOGAINTHELITERATURECANBEAPPLIEDTOTHISAPPROACHINGUNAWANANDAZARM’SAPPROACH1821,THEAUTHORSTRIEDTOOBTAINOPTIMUMSOLUTIONSTHATAREINSENSITIVETOTHEPARAMETERVARIATIONINOTHERWORDS,THEROBUSTNESSREQUIREMENTWASCONSIDEREDASACONSTRAINTINTHEIRAPPROACHONTHECONTRARYWETREAT“ROBUSTNESS”ASONEOFOUROBJECTIVESANDFORMANEWTWOOBJECTIVEROBUSTOPTIMIZATIONPROBLEMREGARDLESSOFHOWMANYOBJECTIVESTHEORIGINALPROBLEMHAS,TOINVESTIGATETHERELATIONBETWEENTHEPERFORMANCEANDROBUSTNESSOFSOLUTIONSTHERMOGAHEREAIMSATSIMULTANEOUSLYMAXIMIZINGPERFORMANCEANDMAXIMIZINGROBUSTNESSTHEORGANIZATIONOFTHERESTOFTHISPAPERISASFOLLOWSINSECTION2,WEPRESENTTHEORIGINALOPTIMIZATIONPROBLEMANDEXPLAINSOMEDEFINITIONSANDTERMINOLOGIESBASEDONABRIEFDESCRIPTIONOFTHEOBJECTIVEANDFEASIBILITYROBUSTOPTIMIZATIONAPPROACH,WEPRESENTOURNEWAPPROACHINSECTION3SECTION4DEMONSTRATESTHEAPPLICATIONOFOURAPPROACHTOTWOTESTPROBLEMSFOLLOWEDBYADISCUSSIONOFTHERESULTSTHEPAPERCONCLUDESWITHASUMMARYINSECTION52PROBLEMDEFINITIONINTHISSECTION,WEFORMALLYDEFINETHEPROBLEMANDEXPLAINSEVERALDEFINITIONSANDTERMINOLOGIESUSEDINTHISPAPERAGENERALFORMULATIONOFMULTIOBJECTIVEOPTIMIZATIONPROBLEMISSHOWNIN1UPPERLOWERJMXXXXJJPXGMMPXF≤≤≤,,10,ST,,1,MINKK1F1,,FMTARETHEOBJECTIVEFUNCTIONS‘T’REFERSTOATRANSPOSEOFTHEROWVECTOR,XX1,,XNTISTHEDESIGNVARIABLEVECTORCONTROLLEDINANOPTIMIZATIONRUN,PP1,PGTISTHEUNCONTROLLABLEPARAMETERVECTORNOTETHATDESIGNVARIABLESTHATTHEMSELVESHAVEUNCONTROLLABLEVARIATIONSAREINCLUDEDINBOTHXANDPXLOWERANDXUPPERARETHELOWERANDUPPERBOUNDSOFX,RESPECTIVELYTHEPROBLEMHASJINEQUALITYCONSTRAINTS,GJ,J1,,JWEPRESUMETHATALLCONSTRAINTSCANBEREPRESENTEDASINEQUALITYFUNCTIONSINTHISPAPER,WECALLTHEOPTIMIZATIONPROBLEMSHOWNIN1ASTHEORIGINALPROBLEMSINCETHEREARETRADEOFFSAMONGSTTHEMOBJECTIVES,USUALLYTHEORIGINALPROBLEMHASMORETHANONEOPTIMUMSOLUTIONTHESETOFTHESEOPTIMUMSOLUTIONSISCALLEDTHEPARETOSET,ASDISCUSSEDINMIETTINEN22ANDINDEB23INTHEFOLLOWING,WEBRIEFLYDESCRIBESOMETERMINOLOGIESTHATAREUSEDINTHISPAPERNOMINALPARAMETERVALUEP0P0,1,,P0,GTISTHEPARAMETERVECTORVALUES,PP0,USEDTOOPTIMIZETHEPROBLEMIN1THEPARAMETER’SVARIATIONIS∆P∆P1,,∆PGTNOMINALPARETOSOLUTIONSARETHEPARETOSOLUTIONSOFTHEOPTIMIZATIONPROBLEMIN1WHENPP0LETX0BEADESIGNSOLUTIONWHOSEROBUSTNESSWEWANTTOANALYZEFX0,P0F1X0,P0,,FMX0,P0ARETHENOMINALVALUESFORTHEOBJECTIVEFUNCTIONS,ANDGX0,P0G1X0,P0,,GJX0,P0ARETHENOMINALVALUESFORTHECONSTRAINTFUNCTIONSTOLERANCEREGIONISAHYPERRECTANGULARREGIONIN∆PSPACEFORMEDBYASETOF∆PVALUESWITHRESPECTTOWHICHTHEDECISIONMAKERWANTSTHEROBUSTOPTIMUMSOLUTIONTOBEINSENSITIVETHISREGIONISUSUALLYBOUNDEDBYUPPERLOWERPPP∆≤∆≤∆,WHERETHEKNOWN∆PLOWERAND∆PUPPERARETHELOWERANDUPPERBOUNDSOF∆P,RESPECTIVELY,∆PLOWER∆P1LOWER,,∆PGLOWERTAND∆PUPPER∆P1UPPER,,∆PGUPPERTFORSIMPLICITY,THETOLERANCEREGIONISASSUMEDTOBESYMMETRIC,IE,∆PILOWER∆PT,I∆PIUPPER,,,10,GIPITK∀∆SINCETHERECANBEMORETHANONEUNCONTROLLABLEPARAMETERWITHDIFFERENTMAGNITUDES,WENORMALIZETHETOLERANCEREGIONTOFORMAHYPERSQUAREPARAMETERVARIATIONSPACE∆PSPACEAGDIMENSIONALSPACEINWHICHTHEAXESARETHEPARAMETERVARIATION∆PVALUESACCEPTABLEPERFORMANCEVARIATIONREGIONAPVRISTHEREGIONFORMEDINTHEOBJECTIVEFUNCTIONSPACEAROUNDTHEPOINTFX0,P0,WHICHREPRESENTSTHEMAXIMUMACCEPTABLEPERFORMANCEVARIATIONCHOSENBYTHEDM,IE,∆F0∆F0,1,,∆F0,MT,WHEREMIFI,,1,0,0K∀≥∆SEEFIGURE1AFORDETAILSFITNESSVALUEFVISAVALUETHATMEASURESASOLUTION’SPERFORMANCEINACOMBINEDOBJECTIVEANDCONSTRAINTSENSETHEFITNESSVALUEORRANKOBTAINEDFROMAMOGA,EG,NSGA23,CANBEUSEDASTHEFITNESSVALUEINOURAPPROACHROBUSTNESSINDEXΗISARATIOTHATCALCULATESTHERADIUSOFTHEWORST–CASESENSITIVITYREGIONDEFINEDINSEC32WITHRESPECTTO∆POVERTHERADIUSOFTHEEXTERIORHYPERSPHEREOFNORMALIZEDTOLERANCEREGION18ITISUSEDASAROBUSTNESSMEASUREINOURMETHODWEWILLDISCUSSITFURTHERINSECTION3DISTANCENORMLPFORANNDIMENSIONALVECTORXISTHEVECTORNORMPXFORP1,2ANDINFINITY∞DEFINEDASPNIPIPXX11∑THEINFINITYNORMISIIXXMAX≡∞3ROBUSTMOGAINTHISSECTION,WEFIRSTBRIEFLYDISCUSSTHESENSITIVITYESTIMATIONPROPOSEDBYGUNAWANANDAZARM1821,BASEDONWHICH,THEMEASURESFORROBUSTNESSANDPERFORMANCEOFSOLUTIONSAREDEFINEDWETHENPRESENTOURTWOOBJECTIVERMOGAAPPROACH31PARAMETERSENSITIVITYESTIMATIONWEFIRSTDISCUSSTHEAPPROACHFORMULTIOBJECTIVEROBUSTOPTIMIZATION,FOLLOWEDBYTHEAPPROACHFORFEASIBILITYROBUSTOPTIMIZATIONANDTHENTHECOMBINEDAPPROACHGIVENANAPVRFORASOLUTIONX0,THEREISASETOF∆PSUCHTHATTHEVARIATIONINOBJECTIVEFUNCTIONSVALUESDUETOTHE∆PARESTILLWITHINTHERANGESOF∆F0,IFORALLI1,,MTHISSETOF∆PFORMSAHYPERREGIONAROUNDTHEORIGININ∆PSPACE,WHICHISCALLEDTHESENSITIVITYREGIONSRTHEREGIONISBOUNDEDASSHOWNIN2,,WHERE,,1,0000,0PXFPPXFFMIFFIIIII−∆∆∀∆≤∆K2FIGURE1SHOWSTHEAPVRANDITSCORRESPONDINGSRFORASOLUTIONX0INATWOPARAMETERANDTWOOBJECTIVECASEGRAPHICALLY,THE772POINTSINSIDE,OUTSIDE,ANDONTHEBOUNDARYOFTHEAPVRCORRESPONDTOTHEPOINTSINSIDE,OUTSIDE,ANDONTHEBOUNDARYOFTHESRFIGURE1B,RESPECTIVELYAF2BFX0,P0∆F0,1∆F0,2CAPVRFABCA∆P2∆P1SENSITIVITYREGIONΒΑBFIGURE1ATHEAPVRANDBTHESRESSENTIALLY,THESRREPRESENTSTHEAMOUNTOFPARAMETERVARIATIONSTHATASOLUTIONX0CANABSORBBEFOREITVIOLATESTHEAPVRWECANUSETHESIZEOFTHESRASAMEASUREFORTHESENSITIVITYOFADESIGNTHELARGERTHESRFORADESIGN,THEMOREROBUSTTHATDESIGNISHOWEVER,INGENERAL,THESHAPEOFTHESRCANBEASYMMETRIC,WHICHMEANSADESIGNCANBEVERYSENSITIVEORMUCHLESSROBUSTINACERTAINDIRECTIONOF∆PSUCHASDIRECTIONΒINFIGURE1B,BUTMUCHLESSSENSITIVEORVERYROBUSTINOTHERDIRECTIONSSUCHASDIRECTIONΑINFIGURE1BTOOVERCOMETHISASYMMETRY,AWORSTCASESENSITIVITYREGIONWCSRISUSEDTOEST
编号:201311171354116400    类型:共享资源    大小:282.16KB    格式:PDF    上传时间:2013-11-17
  
5
关 键 词:
教育专区 外文翻译 精品文档 外文翻译
  人人文库网所有资源均是用户自行上传分享,仅供网友学习交流,未经上传用户书面授权,请勿作他用。
关于本文
本文标题:外文翻译--鲁棒优化设计的多目标遗传算法 英文版.pdf
链接地址:http://www.renrendoc.com/p-96400.html

当前资源信息

4.0
 
(2人评价)
浏览:59次
淘宝运营上传于2013-11-17

官方联系方式

客服手机:17625900360   
2:不支持迅雷下载,请使用浏览器下载   
3:不支持QQ浏览器下载,请用其他浏览器   
4:下载后的文档和图纸-无水印   
5:文档经过压缩,下载后原文更清晰   

相关资源

  • Thomas_Calculus_13th(托马斯微积分 13版)Thomas_Calculus_13th(托马斯微积分 13版)
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊2016】借助于电缆驱动系统改进工业机器人的静态性-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊2016】借助于电缆驱动系统改进工业机器人的静态性-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊2016】借助于电缆驱动系统改进工业机器人的静态性-外文文献[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊2016】借助于电缆驱动系统改进工业机器人的静态性-外文文献
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】最小化模式下料问题科林麦克迪尔米德-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】最小化模式下料问题科林麦克迪尔米德-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】组合机床行业现状与发展思考-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】组合机床行业现状与发展思考-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】自行航水器真正自治-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】自行航水器真正自治-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】自行航水器真正自治-外文文献[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】自行航水器真正自治-外文文献
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】注塑模具的设计与热分析-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】注塑模具的设计与热分析-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】注塑模的单浇口优化-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】注塑模的单浇口优化-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】注塑模的单浇口优化-外文文献[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】注塑模的单浇口优化-外文文献
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】主轴平衡力和曲轴弯曲应力的研究-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】主轴平衡力和曲轴弯曲应力的研究-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】轴对称降落伞形状的研究-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】轴对称降落伞形状的研究-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】轴对称降落伞形状的研究-外文文献[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】轴对称降落伞形状的研究-外文文献
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】中国乘用车燃料经济性标准的组成和影响-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】中国乘用车燃料经济性标准的组成和影响-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】指垫和平面之间的动态交互作用:实验和分析-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】指垫和平面之间的动态交互作用:实验和分析-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】指垫和平面之间的动态交互作用:实验和分析-外文文献[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】指垫和平面之间的动态交互作用:实验和分析-外文文献
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】直线电机高速数控切断机的发展-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】直线电机高速数控切断机的发展-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】直线电机高速数控切断机的发展-外文文献[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】直线电机高速数控切断机的发展-外文文献
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】支持机床系统的面向对象设计-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】支持机床系统的面向对象设计-中文翻译
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】支持机床系统的面向对象设计-外文文献[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】支持机床系统的面向对象设计-外文文献
  • [机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】振动镗孔与振动钻孔的研究-中文翻译[机械模具数控自动化专业毕业设计外文文献及翻译]【期刊】振动镗孔与振动钻孔的研究-中文翻译
  • 精品推荐

    相关阅读

    人人文库
    关于我们 - 网站声明 - 网站地图 - 资源地图 - 友情链接 - 网站客服客服 - 联系我们

    网站客服QQ:2846424093    人人文库上传用户QQ群:460291265   

    [email protected] 2016-2018  renrendoc.com 网站版权所有   南天在线技术支持

    经营许可证编号:苏ICP备12009002号-5