Reissner型矩形板分析的U变换-有限元法-豆柴文库

您所在位置：网站首页 / Reissner型矩形板分析的U变换-有限元法.docx / 文档详情

在线预览结束，喜欢就下载吧，查找使用更方便

5 金币

下载文档

/ 2

下载提示

如果您无法下载资料，请参考说明：

1、部分资料下载需要金币，请确保您的账户上有足够的金币

2、已购买过的文档，再次下载不重复扣费

3、资料包下载后请先用软件解压，在使用对应软件打开

文本预览

Reissner型矩形板分析的U变换-有限元法
Title:U-transformationinReissner-TypeRectangularPlateAnalysisusingFiniteElementMethod
Abstract:
TheReissner-typerectangularplateanalysisplaysacrucialroleinunderstandingthebehaviorsandcharacteristicsofthinplatesundervariousloads.OnesignificantapproachusedtostudysuchproblemsistheFiniteElementMethod(FEM).ThispaperaimstoexploretheU-transformationmethodwithinthecontextofReissner-typerectangularplateanalysisusingtheFEM.
Introduction:
Rectangularplatesarewidelyusedinvariousengineeringapplications,suchasaerospacestructures,civilengineering,andmechanicalsystems.Theaccurateanalysisofsuchplatesisessentialtoensuretheirsafeandefficientdesign.TheReissnerplatetheory,alsoknownasthesheardeformationtheory,incorporatestheeffectoftransverseshearingstrains,providingamoreaccuraterepresentationoftheplate'sbehavior.
TheFiniteElementMethod(FEM)isaversatiletechniqueusedtosolvecomplexengineeringproblems.Itbreaksdownacomplexdomainintosmaller,manageableelements,allowingtheevaluationofspecificvariablesateachelement'snodes.TheU-transformationmethodisanextensionofFEMusedtoanalyzeReissner-typerectangularplates,accountingforbothbendingandtransverseshearingeffects.
Body:
1.TheoreticalBackground:
a.ReissnerPlateTheory:IntroducethekeyconceptsandassumptionsoftheReissnerplatetheory,emphasizingtheincorporationoftransverseshearingstrains.
b.FiniteElementMethod(FEM):ExplainthefundamentalprinciplesofFEM,includingthediscretizationprocess,elementtypes,shapefunctions,andtheassemblyofglobalstiffnessmatrices.
2.U-TransformationMethod:
a.Overview:ProvideabriefoverviewoftheU-transformationmethodanditsincorporationintoFEMforReissner-typeplateanalysis.
b.Formulation:ExplainthemathematicalformulationoftheU-transformationmethod,includingtheexpressionofstrainandenergyequations.
c.Implementation:DiscussthestepsinvolvedinimplementingtheU-transformationmethodwithintheFEMframework,includingthecalculationofelementstiffnessmatricesandnodaldisplacements.
3.NumericalResultsandAnalysis:
a.CaseStudy:Select