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1、上海交通大学硕士学位论文STUDYONTOPOLOGYOPTIMIZATIONWITHLAMINATECOMPOSITESANDDESIGNOFUNDERWATERPRESSURESTRUCTUREABSTRACTAsanefficientoptimalstructuremethod,topologyoptimizationmethodisamethodtofindtheoptimaldistributionofmaterialinagivencontinuousdesigndomainunde
2、rsomeconstraints(e.g.stress,displacement,orvolumeofmaterial),whichmakessomeperformance(e.g.minimumcompliance)ofstructurereachthebest.Inthiswork,thepurposeistosearchforthedifferencesoftheoptimalresultofthestructureappliedwithpressureloadsmadebylaminat
3、ecompositesandstudythetopologyoptimizationdesignofunderwaterpressurestructurewithorthotropicmaterial.Theresearchofthisworkiscarriedoutbydefiningthetopologyobjective,establishingmathematicalmodelandapplyingtheSIMPmethodtotheprocessoftopologyoptimizati
4、on.Inthedesigncaseofunderwaterpressurestructure,thepressureloadsappliedontheboundaryofstructureisneverfixedbutdesigndependent.Asaresult,animportantstepoftopologyoptimizationistodefinethechangingpressureloadingsurface.ThefundamentalsoftheDRLSEmethodan
5、disolinemethodareintroducedastwokindsofimagesegmentationtechniqueandtheisolinemethodisselectedasamainboundarysearchingmethodinthisworkaftercomparingthetwomethods.Inordertopreventfromsomenumericalproblems(e.g.checkerboardpattern,porousmaterial),fourse
6、nsitivityfilteringmethodsareintroducedandappliedtothecalculationoftopologyIII万方数据上海交通大学硕士学位论文model.Atlast,anewelementstiffnessmatrixisderivedforthetopologyoptimizationwithcompositematerialandorthotropicmaterial.Threenumericalcasesarecalculatedandanal
7、yzed,whicharethedesigncasesofbridge-likestructurewithlaminatecomposites,underwaterstructuresubjectedtohydrostaticpressurewithorthotropicmaterial,orthotropicunderwaterstructurewithinitialvoidandinsidesimply-supportedconstraints,respectively.Thetopolog
8、yoptimizationmethodusedinthisworkisidentified.Andtheinfluenceontheoptimaltopologystructureinducedbylaminatecompositesandorthotropicmaterialisdiscussed,whichmaymakealotcontributiontothestudyofnewkindofunderwaterpressurestructure.KEYWORDS:topologyoptim
