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1、Non-LinearBucklingAnlyisBucklingAnalysisBucklingisthefailureofcolumnsandrodswhenunderacompressiveload.Therod/column/beambendsbeforetheloadreachesthematerial’syieldpoint.Bucklingoccursduetothestructure’simperfections.StructuresthatcanbuckleBeamsRodsColumnsCrankshaftsPistonandCylinder
2、sSyntheticbonesandprosthetics.AnymechanismthatundergoescompressionBucklingAnalysisFiniteElementMethodFiniteElementAnalysisallowstheSolutionofbucklingproblems.TheColumnisdividedintodifferentnodesandasmallpreloadisadded.ANSYSoffers2bucklingmodes,Eigenvalue(Linear)andanon-linearsolutio
3、nmethod.EigenvalueSolutionForthissolutionmethod,ANSYSusesthelinearEigenvaluemethodtosolveforthebucklingload.TheFollowingisacommandpromptusedtoruntheEigenvaluemethodonANSYS.ANSYSCommandPropmtResultsFromANSYSNon-LinearBucklingAnalysisANSYScanalsoproducenon-linearresults.Thisisdonebyus
4、ingsub-steppedloads,tocalculatethestrainsandgettinganewYoung’sModuluswiththegivenstrain.Aninitialdeformationisplacedinthemodel,sothatANSYSmaybendthemodelandsimulatebuckling(otherwisetheloadwouldshowonlycompressiveresults).ThenextisacommandprompttoinputinANSYStoproducetheanalysis.ANS
5、YSCommandInputGraphedResultsDeformedPlotBehindThescenes:ANSYSItisimportanttounderstandwhattheNLGEOMcommanddoes,andhowitdoesit.ThiscommandallowsANSYStoengageinanon-linearelasticmodelingofthebeam.EquationsThefirstEquationisthePlasticstrainequation:Wherethesuperscript“pl”representsthep
6、lasticstrain,and“el”representsthelinearstrain,and?nistheoriginalstrain.Tocalculatethelinearstrainthefollowingequationisused:EquationsInthepreviousequationRepresentstheequivalenttotalstrainmeasureandiscalculatedusingthefollowingequation:EquationDescriptionAscanbeseenintheequation,ast
7、henumberofiterationsareincreased,themagnitudeoftheplasticdeformationdecreases(inanewiteration,theresultsfortheplasticstrainisusedastheinitialstrain).Therateofthedecreasealsodecreaseswithanincreasingnumberofiterations,untiltheanswerforthestrainconverges.Thishoweverdoesnottakeintoacco
8、untNon-linearYoungm
