有限元大作业

AssignmentsofFiniteElement

Assignment1:beamelement

Give:Inthebeam,giventhematerial=Steel,lengthL=1.0m,rectangular

cross-sectionB=4.0cmH=10.0cm,adisplacementU=30.0cmisappliediny-directionattheendofthebeam.

Tasks:

1.Usethedisplacementandstrainatthepoint1(L/2,0)toperformamesh

convergencestudy,plotthecurvesofdisplacement/strainvs.elementnumber

2.Outputthedisplacement,strainandstressdistributionsovertheentirebeam.

ModelDescription:

ElementType:Beam193

ModulusofElasticity(EX):2.0e11N/m2

Poisson’sratio(PRXY):0.3

Task1:

Wecangettheelementnumberbymodifyingelementsizeincommandstreamasfollow:

Andwecanseethatitisaconvergentprocedure.

Task2:

Figure1.1.1displacement

Figure1.1.2stress

Figure1.1.3strain

Assignment2:2Dplaneproblem

Material=steel,thicknesst=1.0cm,lengthL=2.0m;Adisplacementloadingwasappliedalongedge23(asshowninthefigure)

(treatitasaplanestressproblem)

1.Uselinearandhighordertriangularandrectangularelementsseparatelytosolvetheproblem;(usetwokindsofelements)

2.Outputthedisplacement,theprincipalstrainandstressvaluesatthe

point5(1.0,1.0),usethesevaluesatpoint5(1.0,1.0)toperformameshconvergencestudy,plotthecorrespondingcurves.

3.Outputtheprincipalstrainsattheelementalintegrationpoints

4.Outputthedistributionsofelementalstrainandstress

Task1

Figure2.1.1lineartriangularFigure2.1.2highordertriangular

figure2.1.3linearrectangularfigure2.1.4highorderrectangularTask2

Figure2.2.1lineartriangular

Figure2.2.1highordertriangular

Figure2.2.1linearrectangular

Figure2.2.1highorderrectangular

Task3

Figure2.3.1linearrectangular

Figure2.3.2highrectangular

Summary:Bydoingtheseassignments,Ilearnedaboutsolvingthe

mechanicsproblemsthroughANSYSsoftware.AndIunderstandtwo

methodstoimprovetheaccuracy:reducethemeshsize(increasethe

numberoftheelement),changetheelementtypeclearly.Themore

elementswemesh,themoreaccurateresultsweget.Whenelementnumber

isverybig,thespeedofcalculatingwillbeslowdown.Otherwis