【仓储物流工程师,国电联合动力技术有限公司】前程无忧...

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1、【仓储物流工程师,国电联合动力技术有限公司】前程无忧...solidandfluidmechanics.Formanyoftheseproblemsleast-squaresprinciplesoffermanytheoreticalandcomputationaladvantagesintheimplementationofthecorrespondingfiniteelementmodelthatarenotpresentinthetraditionalweakformGalerkinfiniteelementmodel.Forinstance,theuseofleas

2、t-squaresprinciplesleadstoavariationalunconstrainedminimizationproblemwherecompatibilityconditionsbetweenapproximationspacesneverarise.Furthermore,theresultinglinearalgebraicproblemwillhaveasymmetricpositivedefinitecoefficientmatrix,allowingtheuseofrobustandfastiterativemethodsforitssoluti

3、on.Wefindthattheuseofhighp-levelsisbeneficialinleast-squaresbasedfiniteelementmodelsandpresentguidelinestofollowwhenalowp-levelnumericalsolutionissought.Numericalexamplesinthecontextofincompressibleandcompressibleviscousfluidflows,platebending,andshear-deformableshellsarepresentedtodemonst

4、ratethemeritsoftheformulations.ArticleOutline1.Introduction2.Anabstractleast-squaresformulation2.1.Notation2.2.Theabstractproblem2.3.L2least-squaresformulation2.3.1.Space–timecoupledformulation2.3.2.Space–timedecoupledformulation2.4.Thevariationalproblem2.5.Thefiniteelementmodel2.6.Norm-eq

5、uivalenceanditsimplications2.7.Aleast-squarescollocationformulation3.Viscousincompressibleandcompressiblefluidflows3.1.Governingequations3.2.Kovasznayflow3.3.CompressibleflowpastaNACA0012airfoil4.Platesandshells4.1.Governingequations4.2.Simplysupportedcircularplate4.3.Barrelvault5.Summarya

6、ndconcludingremarksReferencesPurchase154Finiteelementmodellingandupdatingofalivelyfootbridge:ThecompleteprocessOriginalResearchArticleJournalofSoundandVibration,Volume301,Issues1-2,20March2007,Pages126-145Stana?ivanovi?,AleksandarPavic,PaulReynoldsClosepreview

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11、ReferencesReferencesAbstractThefiniteelement(FE)modelupdatingtechnologywasoriginallydevelopedintheaerospaceandmechanicalengineeringdisciplinestoautomaticallyupdatenumericalmodelsofstructurestomatchth