Transcription of Introduction to Nonlinear Analysis - MIT OpenCourseWare
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Contents:Textbook:Examples:Reference:Top ic1 IntroductiontoNonlinearAnalysis Introductiontothecourse Theimportanceofnonlinearanalysis Fourillustrativefilmsdepictingactualandp otentialnonlinearanalysisapplications Generalrecommendationsfornonlinearanalys is Modelingofproblems Classificationofnonlinearanalyses Exampleanalysisofabracket,smallandlarged eformations,elasto-plasticresponse Twocomputer-plottedanimations-elasto-pla sticlargedeformationresponseofaplatewith ahole-largedisplacementresponseofadiamon d-shapedframe Thebasicapproachofanincrementalsolution Timeasavariableinstaticanddynamicsolutio ns Thebasicincremental/iterativeequations , , , ,T., ,"OnFiniteElementLargeDisplacementandEla stic-PlasticDynamicAnalysisofShellStruct ures,"Computers&Structures,12,309-318, 'fS1S ( '\MECHANICS FINliEEll::t-"\ENTD15 CR~.,..'"2A-TIONS NLAt-'\ "R11\-\MS SOfTWA'QE(ONS''t>E:'RAT\DN~Nt::-CONCENTR ATEON~- M&Tl-\o1: TI-\Po-TA'e&5 ENE'RALL'IA? !'"10t>E'RtJ'E"(\.. "PRACTICAL?ROCEblA~E:S~IHE1Hc>'t>sIItA-\ Al'fORARENOw~E(OMINbANINTEG1</\l'flPt'RI0r CAl:>leAfSO~TWAKET opicOne1-3'R~IEFOVERVI ~Ol=CouRSE 6fOMElRICANt>,"" S"1AT,c:AN~:b'fAlAM1C SOLIAllONS.))))
• Nonlinear analysis can be a frustration. • It always is a great challenge. Some important engineering phenomena can only be assessed on the basis of a nonlinear analysis: • Collapse or buckling of structures due to sudden overloads • Progressive damage behavior due to long lasting severe loads • For certain structures (e.g. cables),
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