structural optimization of a thermally loaded functionally

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1、StructuralOptimizationofaThermallyLoadedFunctionallyGradedPressureVesselbyJeffreyCharlesYoungsAThesisSubmittedtotheGraduateFacultyofRensselaerPolytechnicInstituteinPartialFulfillmentoftheRequirementsforthedegreeofMASTEROFSCIENCEMajorSubject:MechanicalEngineeringApproved:_________

2、________________________________ErnestoGutierrez-Miravete,ThesisAdviserRensselaerPolytechnicInstituteHartford,ConnecticutAugust2009©Copyright2009byJeffreyYoungsAllRightsReservedCONTENTSCONTENTSiLISTOFTABLESvLISTOFFIGURESviLISTOFSYMBOLSxiACKNOWLEDGMENTxivABSTRACTxv1.Introduction11

3、.1ProblemStatement11.2HistoryofFunctionallyGradedMaterials11.3PressureVesselDescription21.4FiniteElementTheory31.5BasicStructuralOptimizationTheory52.AnalyticalModeling72.1ExactSolutionforaThickHomogeneousCylinder72.2ExactSolutionforaThickHomogeneousHemisphere112.3ExactSolutionfo

4、rFunctionallyGradedMaterial152.4Stress-StrainEquationsforaFunctionallyGradedVessel162.4.1StrainSolutionsforaFunctionallyGradedCylinder172.4.2StressSolutionsforaFunctionallyGradedCylinder182.4.3StrainSolutionsforaFunctionallyGradedHemisphere192.4.4StressSolutionsforaFunctionallyGr

5、adedHemisphere203.DesignParameters213.1PressureVesselInitialShape213.2LoadingConditions213.3Materials233.4ModelingMaterialPropertiesinHypermesh25xv4.FiniteElementModeling274.1ElementShapeConsiderations274.2ElementOrderConsiderations274.3AxisymmetricModel284.4SolidElementModel334.

6、5ChoosingElementType384.6ElementConvergence435.StructuralOptimization485.1DecidingonaSolver485.2OptimizationModelinOptiStruct485.3OptiStruct’sIterativeSolutionforStructuralOptimization515.4DesignSensitivityAnalysisinOptiStruct525.5ConvergenceinOptiStruct535.6TopologyOptimizationM

7、ethodinOptiStruct535.7DensityMethodofTopologyOptimization545.8TopologyOptimization:FreeForm555.9DefiningtheOptimizedandNon-OptimizedRegions565.10DefiningtheLoadSetsforStructuralOptimization565.11Defineoptimizationcriteria575.12ResultsforFreeFormTopologyOptimization585.13Redefinin

8、gtheoptimizedregionsfortopologyoptimizat