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Introduction to Nonlinear Analysis - MIT OpenCourseWare

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~.)

1-28 Introduction to Nonlinear Analysis Slide 1-1 Slide 1-2 R ~ 100in. h ~ 1in. E =1.0x10' Ib/in2 II =113 O'y~4.1xlO'lb/in2 E1 =2.0x10slb/in 2 f =9.8 xlO-2 lb/in3 Initial imperfection : Wj(¢) =ShPll C05¢ Analysis of spherical shell under uniform pressure loading p I I I I L Twenty 8-node aXlsymmetnc els. p deformation dependent Finite element ...

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