pragmatic introduction finite elemente method thermal stress analysis matlab [2005]waw外语英文电子书

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1、APragmaticIntroductiontotheFiniteElementMethodforThermalandStressAnalysisWiththeMatlabtoolboxSOFEAPetrKrysl2Copyright(c)December31,2005PetrKrysl.pkrysl@ucsd.eduPermissionisgrantedtocopy,distributeand/ormodifythisdocumentunderthetermsoftheGNUFreeDoc-umentationLicense,Version1.2oranylaterversionp

2、ublishedbytheFreeSoftwareFoundation;withnoInvariantSections,withFront-CoverTexts,andnoBack-CoverTexts.AcopyofthelicenseisincludedintheAppendixAentitled"GNUFreeDocumentationLicense".Tomyfamily.PublishedbythePressureCookerPress.LibraryofCongressCataloging-in-PublicationDataKrysl,PetrAPragmaticInt

3、roductiontotheFiniteElementMethodforThermalandStressAnalysis.WiththeMatlabtoolboxSOFEA./PetrKryslIncludesbibliographicalreferencesandindex.ManufacturedintheUnitedStatesofAmericaSanDiego,CaliforniaContentsIIntroducingtheGalerkinmethod11ModelofaTautWire31.1DerivingthePDEmodel.....................

4、..................31.2Balanceequation...........................................31.3Boundaryconditions.........................................31.4Boundaryconditions(inspace)...................................41.5Initialconditions...........................................51.6Anythingelse?.....

5、.......................................52ThemethodofMr.Galerkin72.1Residualofthebalanceequation..................................72.2Integraltestoftheresidual.....................................72.3Testfunction.............................................82.4Trialfunction......................

6、.......................92.5Manipulationoftheresiduals....................................92.6Sti®nessandmassmatrix......................................102.7Piecewiselinearbasisfunctions...................................112.8Numericalquadrature........................................132.9Putti

7、ngittogether:systemofODE's................................153IntroducingtheMatlabcode173.1Statics.................................................173.2Statics:uniformload.........................................173.3Freevibration.