基于几何造型的参数化有限元建模和曲面网格生成方法及实现

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1、大连理工大学硕士学位论文基于几何造型的参数化有限元建模和曲面网格生成方法及实现姓名：隋晓峰申请学位级别：硕士专业：计算机应用技术指导教师：顾元宪;关振群20020601墨王盐盟堂型堕垄墼些查堡墨堡燮塑些亘塑塑圭堕杰些墨壅里AbstractFiniteelementmethodisapopularnumericalanalysismethod，whichiswidelyappliedinmanyindustrialfieldssuchasaviation，architecture，mechanics，electronicsandchemistry,Ithasbecomethecrite

2、rionoftheanalysisanddesignoptimizationofstructures，andfiniteelementanalysis(FEA)softwarehasbecomethemostimportantpartofCAD／CIMSsystem．Finiteelementmodeling(FEM)isthepre—processofFEA．ItisbasedonCADsystem，andtiesFEAtechniquetoCADsystem．Mostoffiniteelementmodelingmethodsarestaticatpresent．0neethed

3、esignengineersfinishthefiniteelementmodel，itwillbeverydifficulttomodifythemodel．Thisstaticfiniteelementmodelingmethoddoesn’tneedtherequirementofthedynamicdesignofproductinthemodernindustry．Otherwise，mostworkonthesurfacemeshgenerationisbasedonthesingletrimmedsurfaces，andtheworktoclosedsurfaceand

4、combinedsurface，whichareverypopularinengineer，isveryfew．Tosolvetheproblemsmentionedabove，theauthorstudiestheproblemscarefullyandgivesoutsomesolutions．Amethodofsurfacetriangulationbasedonthetraditionalmappingapproachispresentedinthisthesis．Themethodhasfonrfeatures：1)Virtualmovableboundariesaregi

5、ventoassistthemeshgenerationonclosedsurfaces．2、Formakingthemeshesconsistentonthecommonboundariesofadjoiningsurfaces，anewapproachofboundarydiscretizationisemployed．31Theboundary—representationstructureis．adoptedtofulfillthemeshgenerationovercombinedsurfaces．4)Thequalityofsurfacemeshesisimprovedb

6、ypointcreationon3Dscanlinesanddiagonalswappingprocedure．Anapplicationtomeshsurfacesonlydependingongeometriesisdeveloped．TheapplicationistightlyintegratewiththeCADpackageAutoCADfromAutodeskCorporation．Amethodofparametricfiniteelementmodelingforshapeoptimizationispresentedinthisthesis．Themethodha

7、sthreefeatures：11ThedimensionsusedincommercialCADsystemareselectedtobethedesignvariablesofshapeoptimization．2)Amappingbetweengeometryobjectsandfiniteelementobjectssuchasmeshes，structurepropertiesissetuptoassistindefiningfiniteelem