有限元分析基础教程(ANSYS算例)(曾攀)

1、FundamentalsofFiniteElementAnalysis(ANSYS)曾攀2008-12FundamentalsofFiniteElementAnalysis91569MATLABANSYSANSYSMATLABANSYS-1-ANSYSANSYS3.3.7(3)ANSYS4.3.2(4)ANSYS5.3(8)ANSYS6.2(2)ANSYS6.4.2(1)8(GUI)ANSYS6.4.2(2)8ANSYS7.2(1)(GUI)ANSYS7.2(2)ANSYS7.3(1)(GUI)ANSYS7.3(2)ANSYS7.4(1)(GUI)ANSYS7.4(2)ANSYS8.2(1)2

2、D(GUI)ANSYS8.2(2)2DANSYS8.3(1)(GUI)ANSYS8.3(2)ANSYS8.4(1)(GUI)ANSYS8.4(2)ANSYS9.2(2)ANSYS9.3(1)(GUI)ANSYS9.3(2)BANSYSB.1(GUI)(stepbystep)B.2logGUIlogB.3B.4APDL136915172023242728303133343839424546495253565657E=3.01011Pa=6.510mA=6.8E=3.01011Pa=6.510mA=6.810mANSYS3.3.7(3)3-197442ANSYS3-191(GUI)(stepbys

3、tep)ANSYSANSYSInteractiveWorkingdirectoryInitialjobname(beam3RunOK(2)ANSYSMainMenu:PreferencesStructuralOK(3)ANSYSMainMenu:PreprocessorElementTypeAdd/Edit/DeleteAddbeam2Delastic3OKElementTypesClose(4)ANSYSMainMenu:PreprocessorMaterialPropsMaterialModelsStructuralLinearElasticIsotropic:EX:3e11OKU(5)A

4、NSYSMainMenu:PreprocessorRealConstantsAdd/Edit/DeleteAddType1Beam3OKRealConstantSetNo:11Cross-sectionalarea:6.8e-4OKClose(6)ANSYSMainMenu:PreprocessorModelingCreatNodesInActiveCSNodenumber1X:0,Y:0.96,Z:0ApplyNodenumber2X:1.44,Y:0.96,Z:0ApplyNodenumber3X:0,Y:0,Z:0ApplyNodenumber4X:1.44,Y:0,Z:0OKANSYS

5、MainMenu:PreprocessorModelingCreateElementAutoNumberedThruNodes12(1)apply13(2)apply21ANSYS4(3)OK(7)ANSYSMainMenu:SolutionDefineLoadsApplyStructuralForce/MomentOnNodes1applyDirectionofforce:FXVALUE3000OKYANSYSMainMenu:SolutionDefineLoadsApplyStructuralPressureOnBeams1(12applyVALI4167VALJ4167OKANSYSMa

6、inMenu:SolutionDefineLoadsApplyStructuralDisplacementOnNodes34ApplyLab:ALLDOFOK(8)ANSYSMainMenu:SolutionSolveCurrentLSOKShouldTheSolveCommandbeExecuted?YClose(Solutionisdone!(9)ANSYSMainMenu:GeneralPostprocPlotResultsDeformedShapeDef+UndeformedOKPlotResults)(10)ANSYSUtilityMenu:FileExitSaveEverythin

7、gOK(11)MATLAB2!%3_3_7(3)%begin%/PREP7ET,1,beam3R,1,6.5e-7,6.8e-4MP,EX,1,3e11N,1,0,0.96,0N,2,1.44,0.96,0N,3,0,0,0N,4,1.44,0,0E,1,2E,1,3E,2,4D,3,ALLD,4,ALLF,1,FX,3000SFBEAM,1,1,PRESS,4167FINISH/SOLUSOLVEFINISH/POST14(0,0.96,0)12341x(3000)2ANSYSPLDISP,1FINISH!%3_3_7(3)%end%ANSYS4.3.2(4)4.3.2(3)ANSYS(a)

8、(b)4-11ANSYS10ANSYS4-111(GUI)(stepbystep)(1)ANSYSANSYSANSYSInteractiveWorkingdirectoryInitialjobnameTrussBridgePressRunOK(2)ANSYSMainMenu:PreferencesStructuralOK(3)ANSYSMainMenu:PreprocessorLoadsAnalysisTypeNewAnalysisSTATICOK(4)ANSYSMainMenu:PreprocessorMaterialPropsMaterialModelsStructuralLinearEl

9、asticIsotropicEX:1PRXY:0.25(OK(5)ANSYSMainMenu:PreprocessorElementTypeAdd/Edit/Delete.AddStructuralSolid:Quad4node42OKElementTypesClose(6)ANSYSMainMenu:PreprocessorRealConstantsAdd/Edit/DeleteAddType1OKRealConstantSetNo:11THK:1OKClose(7)ANSYSMainMenu:PreprocessorRealConstantsAddType1Plane42OKRealCon

10、stantsSetNo:11Thickness:1OKClose(8)3ANSYSANSYSMainMenu:PreprocessorModelingCreateKeypointsInActiveCSKeypointnumber1XYZLocationinactiveCS0,0,0Apply3(1,0,0),(1,1,0),(0,1,0)OKANSYSMainMenu:PreprocessorModelingCreateAreasArbitraryThroughKPsMinMaxInc1,4,1OK(9)ANSYSMainMenu:PreprocessorModelingCreateEleme

11、ntsElemAttributesMAT:1TYPE:1PLANE42REAL:1OK(10)ANSYSUtilityMenu:SelectEntitiesSelelinesSeleAllOKANSYSMainMenu:PreprocessorMeshingSizeCntrlsManualSizeLinesAllLinesElementSizesonAllSelecetedLines:NDIV:1010SPACE:1OKANSYSMainMenuPreprocessorMeshingMeshToolMeshAreasShapeTrimappedMeshPickALL(11)ANSYSUtili

12、tyMenu:SelectEverythingANSYSMainMenu:PreprocessorLoadsDefineLoadsApplyStructuralDisplacementOnKeypointsMinMaxInc1OKlab2ALLDOF(1ApplyMinMaxInc4OKlab2UX(4XOK(12)2XANSYSMainMenu:PreprocessorLoadsDefineLoadsApplyStructuralForce/MomentOnKeypointsMinMaxInc2OKDirectionofforce/mom:FXForce/momentvalue:-1Appl

13、y3XANSYSMainMenu:PreprocessorLoadsDefineLoadsApplyStructuralForce/MomentOnKeypointsMinMaxInc3OKDirectionofforce/mom:FXForce/momentvalue:1OK(13)ANSYSMainMenu:SolutionSolveCurrentLSOK(14)ANSYSMainMenu:GeneralPostprocPlotResultsDeformedshapeDef+undeformedOKANSYSUtilityMenu:ParametersScalarParametersSel

14、ectionNB=NODE(1,0,0)AcceptNB_UX=UX(NB)NB_UY=UY(NB)NC=NODE(1,1,0)NC_UX=UX(NC)NC_UY=UY(NC)STR_ENGY=0.5*(NB_UX*(-1)+NC_UX*(1)POTE_ENGY=-0.5*(NB_UX*(-1)+NC_UX*(1)CloseANSYSUtilityMenu:ListStatusParametersAllParameters(15)ANSYSUtilityMenu:FileExitSaveEverythingOK4ANSYS2!%ANSYS4_3_2(4)%begin%/PREP7ANTYPE,

15、STATICMP,EX,1,1MP,PRXY,1,0.25ET,1,PLANE42KEYOPT,1,3,3R,1,1K,1,0,0,0K,2,1,0,0K,3,1,1,0K,4,0,1,0A,1,2,3,4MAT,1TYPE,1REAL,1111No.1No.1No.2No.3No.4No.1No.1No.1No.1!-LSEL,ALLLESIZE,all,10,110MSHAPE,1,2D!MSHAPE,0,2DMSHKEY,1AMESH,1ALLSEL,ALLDK,1,ALLDK,4,ALLFK,2,FX,-1FK,3,FX,1FINISH/SOLUSOLVEFINISH/POST1PLD

16、ISP,1NB=NODE(1,0,0)NB_UX=UX(NB)NB_UY=UY(NB)ALLSEL,ALLNC=NODE(1,1,0)NC_UX=UX(NC)NC_UY=UY(NC)No.1142FX=-13FX=1(1,0,0)(BNBNBUXNB_UXNBUYNB_UY(1,1,0)(CNCNCUXNC_UXNCUYNC_UYSTR_ENGY=0.5*(NB_UX*(-1)+NC_UX*(1)POTE_ENGY=-0.5*(NB_UX*(-1)+NC_UX*(1)5ANSYS*status,parm!%ANSYS4_3_2(4)%end%10NAMENBNB_UXNB_UYNCNC_UXN

17、C_UYPOTE_ENGYSTR_ENGY10NAMENBNB_UXNB_UYNCNC_UXNC_UYPOTE_ENGYSTR_ENGYVALUE2.00000000-9.56063701-9.3656595912.00000009.88621794-10.0535107-9.723427479.72342747VALUE2.00000000-12.6893715-12.689371512.000000012.6893715-12.6893715-12.689371512.6893715TYPEDIMENSIONSSCALARSCALARSCALARSCALARSCALARSCALARSCAL

18、ARSCALARTYPEDIMENSIONSSCALARSCALARSCALARSCALARSCALARSCALARSCALARSCALARPOTE_ENGY4-11(a)=U-W=-9.72342747(4-78)4-11(b)=U-W=-12.6893715(4-79)(4-72)(4-77)(4-78)(4-79)ANSYS5.3(8)5-723445(inclinedsupport)4ANSYS55=0.1m,2m210MPa,0.25,E=t=6ANSYS(a)(b)5-71(GUI)(stepbystep)(1)ANSYSANSYSANSYSInteractiveWorkingdi

19、rectoryInitialjobname:Planesupport(RunOK(2)ANSYSMainMenuPreferencesStructuralOK(3)ANSYSMainMenuPreprocessorElementTypeAdd/Edit/Delete.AddSolid:Quad4node42OKElementTypesType1PLANE42OptionsK3:Planestrsw/thk(OKClose(4)ANSYSMainMenuPreprocessorRealConstantsAddType1PLANE42OKRealConstantsSetNo:1,THK:0.1Cl

20、oseRealConstants(5)ANSYSMainMenuPreprocessorMaterialPropsMaterialModelsStructuralLinearIsotropicEX:2E5,PRXY:0.25(OKClose(6)ANSYSMainMenuPreprocessorModelingCreateNodesInActiveCSNodenumber:1XYZLocationinactiveCS:220Apply302020）、（00）、（005.3(7)024THXY45UY=0ANSYSMainMenu:PreprocessorModelingCreateElemen

21、tsElemAttributesMAT,1,TYPE,1PLANE42,REAL,1OK7ANSYSANSYSMainMenu:PreprocessorModelingCreateElementsAutoNumberedThruNodes1234(7)XYANSYSMainMenu:SolutionDefineLoadsApply-StructuralDisplacementOnNodes23OKLab2:AllDOF(XYOKnANSYSMainMenuPreprocessorCoupling/CeqnConstraintEqnConst:0,NODE1:4,Lab1:UX,C1:1,NOD

22、E2:4,Lab2:UY,C2:1OKoANSYSUtilityMenuWorkPlaneLocalCoordinateSystemCreatelocalsystemAtspecifiedLOC+OKXCYCZC200,THXY45OKANSYSMainMenuPreprocessormodelingMove/ModifyRotateNodeCSToactiveCS4ANSYSMainMenuSolutionDefineLoadsApplyStructuralDisplacementOnNodes4OKLab2:UYYOK(8)ANSYSMainMenu:SolutionDefineLoads

23、ApplyStructuralForce/MomentOnNodes1OKLabFX,Value:10Apply1OKLabFY,Value:10OK(9)ANSYSMainMenuSolutionAnalysisTypeNewAnalysisStaticOKANSYSMainMenuSolutionSolveCurrentLSOK(10)ANSYSMainMenuGeneralPostprocPlotResultsContourPlotNodalSoluNodalsolutionDOFSolutionDisplacementvectorsumOK(ANSYSMainMenuGeneralPo

24、stprocListResultsNodalSoluNodalsolutionDOFSolutionDisplacementvectorsumOK(11)ANSYSUtilityMenuFileExitSaveEverythingOK2!%ANSYS5_3(8)%begin%/PREP7ANTYPE,STATICMP,EX,1,2E5MP,PRXY,1,0.25ET,1,PLANE421118ANSYSKEYOPT,1,3,3R,1,0.1N,1,2,2N,2,2N,3,N,4,2,No.10.11234!-5.3(7)o-begin-!N,4,2,45!D,4,UY4z45!-5.3(7)o

25、-end-MAT,1TYPE,1REAL,1E,1,2,3,4D,2,ALLD,3,ALLNo.1No.1No.123!-!-1begin-CE,1,0,4,UX,1,4,UY,-1(No.1):0=node4_UX*1+node_UY*(-1)!-1end-!-2begin-!local,11,0,2,0,0,45!nrotat,4!D,4,UY!-2end!-F,1,FX,10F,1,FY,10FINISH/SOLUSOLVE!=/POST1PLDISP,144FXFY110N/m110N/m=0ANSYS!%ANSYS5_3(8)%end%ANSYS6.2(2)6-3(a)yp=1000

26、N/m2000Nt=1myE=629ANSYS(a)(b)1/46-3MATLAB6.2(1)ANSYSANSYSMATLAB6-66-6ANSYSMATLAB1234ANSYS(Pa)=1087.9x=3000.0y=439.56xy=824.2x=2252.7y=0.0000 xy=1087.9x=1373.6y=307.7xy=1000.0 x=1373.6y=131.9xyMATLAB(Pa)=1088=3000 xy=440 xy=824=2253xy=0.000 xy=1088=1374xy=308xy=1000=1374xy=132xy1(GUI)(stepbystep)(1)A

27、NSYSANSYSANSYSInteractiveWorkingdirectoryInitialjobname(PlanarRunOK(2)ANSYSMainMenu:PreferencesStructuralOK(3)ANSYSANSYSMainMenu:PreprocessorElementTypeAdd/Edit/DeleteAddSolidQuad4node42OKElementTypesOptionsK3:PlaneStrsw/thk(OKClose(4)ANSYSMainMenu:PreprocessorMaterialPropsMaterialModelsStructuralLi

28、nearElasticIsotropic:EX:1e6PRXY:0OK(5)ANSYSMainMenu:PreprocessorRealConstantsAdd/Edit/DeleteAddType1OKRealConstantSetNo:11THK:1OKClose(6)ANSYSMainMenu:PreprocessorModelingCreateNodesInActiveCSNodenumber10121XYZLocationinactiveCS020Apply1012010）、（10）、（00）、（00）、（00OKANSYSMainMenu:PreprocessorModelingC

29、reateElementsElemAttributesTYPE,1PLANE42MAT,1REAL,1OKANSYSMainMenu:PreprocessorModelingCreateElementsAutoNumberedThruNodes123Apply245Apply235Apply356OK(7)YANSYSMainMenu:SolutionDefineLoadsApplyStructuralDisplacementOnNodes1/4boxsingleOKLab2DOFs:UY(OKXANSYSMainMenu:SolutionDefineLoadsApplyStructuralD

30、isplacementOnNodes1/4boxsingleOKLab2DOFs:UX(OKANSYSUtilityMenuSelectEntitiesOK136OKANSYSMainMenu:SolutionDefineLoadsApplyStructuralPressureOnNodesPickAllVALUE1000OK1ANSYSMainMenu:SolutionDefineLoadsApplyStructuralForce/MomentOnNodes1OKLabFY,Value:-1000OK(8)ANSYSMainMenu:SolutionAnalysisTypeNewAnalys

31、isStaticOKANSYSMainMenuSolutionSolveCurrentLSOKShouldTheSolveCommandbeExecuted?YClose(Solutionisdone!(9)ANSYSMainMenuGeneralPostprocListResultsElementSolutionElementsolutionStressX-ComponentofStressOKListResults)NodalSolutionNodalsolution11ANSYSDOFSolutionDisplacementvectorsumOKANSYSMainMenuGeneralP

32、ostprocPlotResultsContourPlotNodalSoluNodalsolutionDOFSolutionDisplacementvectorsumOK(10)ANSYSUtilityMenu:FileExitSaveEverythingOK2!%ANSYS6_2(2)%begin%/prep7ANTYPE,STATICet,1,plane42keyopt,1,3,3r,1,1mp,ex,1,1e6mp,prxy,1,0n,1,2n,2,1n,3,1,1n,4,n,5,1n,6,2mat,1type,1real,1e,1,2,3e,2,4,5e,2,3,5e,3,5,6d,1

33、,uxd,2,uxd,4,alld,5,uyd,6,uynsel,s,1,3,2nsel,a,6sf,all,pres,1000nsel,allf,1,fy,-1000/soluSolveFINISHPLANE42111e611(0,2)23456No.1No.1No.11234!1x!2x!4!5y!6y1361000N/m1FY(-1000N)!=/POST1PLDISP,1FINISH12ANSYS!%ANSYS6_2(2)%end%6.46.4.14527.56-6)16.56-7)436-8)6-67.5(750MN)34.72.66-7AD6.5(650MN)13ANSYS6-83

34、20038(800MN)8426-96-9814ANSYS6-10884R=R=2.25m4.5mPaR=2EH=17mD=3.4m2.110E110.3400MNp=4108/4.53.4PaANSYS6.4.2(1)8(GUI)ANSYSANSYSInteractiveWorkingdirectoryInitialjobnamePressRunOKANSYSMainMenuPreferencesStructuralOKANSYSMainMenuPreprocessorElementTypeAdd/Edit/Delete.AddSolid:Quad4node42OKElementTypesO

35、ptionsK3PlaneStrsw/thkOKCloseANSYSMainMenuPreprocessorMaterialPropsMaterialModelsStructuralLinearElasticIsotropicEX2.1e11PRXY0.3OKANSYSMainMenuPreprocessorRealConstantsAdd/Edit/DeleteAddType11PLANE42OKRealConstantSetNo1THK3.4OK1Close15ANSYSANSYSMainMenuPreprocessorModelingCreateKeypointsInActiveCSNP

36、T002434Keypointnumber1XYZLocationinactiveCS-4.58.5Apply002434-2.258.5），（2.258.5），（4.58.5），（13），（10.75OKLinesLinesStraightLine13OKArcsByEndKPs&Rad2OK6OKRADRadiusofthearc2.25ApplyWarningClose1OK5OKRADRadiusofthearc4.5OKWarningCloseAreasArbitraryByLinesOKANSYSMainMenuPreprocessorModelingCreateKeypoints

37、InActiveCSNPT00810Keypointnumber7XYZLocationinactiveCS-4.5-8.5Apply00810-2.25-8.5），（2.25-8.5），（4.5-8.5），（-13），（-10.75OKLinesLinesStraightLine79OKArcsByEndKPs&Rad89OK12OKRADRadiusofthearc2.25ApplyWarningClose710OK11OKRADRadiusofthearc4.5OKWarningCloseAreasArbitraryByLinesOKANSYSMainMenuPreprocessorMo

38、delingCreateAreasRectangleBy2CornersWPX-4.5WPY-8.5Width2.25Height17ApplyWPX2.25WPY-8.5Width2.25Height17OKANSYSMainMenuPreprocessorModelingOperateBooleansGlueAreasPickallANSYSUtilityMenuPlotCtrlsNumberingLINEOnOKANSYSMainMenuPreprocessorMeshingMeshToolSizeControlsLinesSetElementSizeonPicked1256ApplyN

39、DIV44ApplyElementSizeonPicked17181920ApplyNDIV2020ApplyElementSizeonPicked3478ApplyNDIV1010OKShapeMappedMeshPickallANSYSMainMenuSolutionDefineLoadsApplyStructuralPressureOnLinesApplyPRESonLines48OKVALUE4e8/(4.5*3.4)OKANSYSUtilityMenuSelectEntitiesNodes1ByLocation2Xcoordinates-4.5ApplyReselectYcoordi

40、nates-8.5OKStructuralDisplacementOnNodesPickallLab2AllDOFOKANSYSUtilityMenuSelectEverythingANSYSUtilityMenuSelectEntitiesNodes1ByLocation2Xcoordinates4.5FromfullApplyReselectYcoordinates-8.5OKStructuralDisplacementOnNodesPickallLab2UYOK16ANSYSANSYSUtilityMenuSelectEverythingANSYSMainMenuSolutionSolv

41、eCurrentLSOKANSYSMainMenuGeneralPostprocPlotResultsDeformedshapeDefshapeonlyOKPlotResultsContourPlotNodalSoluStressvonMisesstressOKANSYSUtilityMenuFileExitSaveEverythingOKVonMisesY48.9MPa33.4MPaY6-11(a)(b)VonMises(Pa)6-11Y(Pa)8Y400MN/22.253.4=26.1MPa33.4MPaANSYS6.4.2(2)8ANSYSAPDL84(1)8beam_R1=2.25be

42、am_R2=4.517ANSYSstud_H=17(2)stud_D=3.4(3)e_modu=2.1e11prxy_Poi=0.3(4)line_div1=4line_div2=20arc_div1=10(5)pressure=4e8/(4.5*3.4)!%ANSYS6_4_2(2)%begin%!-$-/prep7/PLOPTS,DATE,0!=beam_R1=2.25beam_R2=4.5stud_H=17stud_D=3.4e_modu=2.1e11prxy_Poi=0.3line_div1=6line_div2=40arc_div1=20pressure=4e8/(4.5*3.4)!

43、=ET,1,PLANE42KEYOPT,1,3,3MP,EX,1,e_moduMP,NUXY,1,prxy_PoiR,1,stud_D,PLANE42!=6K,1,-1*beam_R2,0.5*stud_H,K,2,-1*beam_R1,0.5*stud_H,K,3,beam_R1,0.5*stud_H,K,4,beam_R2,0.5*stud_H,K,5,0,beam_R2+0.5*stud_H,K,6,0,beam_R1+0.5*stud_H,!-L,1,2$L,3,4LARC,1,4,5,beam_R2,LARC,2,3,6,beam_R1,beam_R2beam_R118ANSYSAL

44、,1,2,3,46K,7,-1*beam_R2,-0.5*stud_H,K,8,-1*beam_R1,-0.5*stud_H,K,9,beam_R1,-0.5*stud_H,K,10,beam_R2,-0.5*stud_H,K,11,0,-1*(beam_R2+0.5*stud_H),K,12,0,-1*(beam_R1+0.5*stud_H),!-L,7,8$L,9,10LARC,7,10,11,beam_R2,LARC,8,9,12,beam_R1,AL,5,6,7,8beam_R2beam_R1BLC4,-1*beam_R2,-0.5*stud_H,beam_R1,stud_HBLC4,

45、beam_R1,-0.5*stud_H,beam_R1,stud_HAglue,all!=lsel,s,1$lsel,a,2lesize,all,line_div1$lsel,a,5$lsel,a,6lsel,s,17$lsel,a,18$lsel,a,19$lsel,a,20lesize,all,line_div2lsel,s,3$lsel,a,4$lsel,a,7$lsel,a,8lesize,all,arc_div1MSHKEY,1MSHAPE,0,2DAMESH,all!=/solutionnsel,s,loc,x,-1*beam_R2nsel,r,loc,y,-0.5*stud_HD

46、,all,allnsel,allnsel,s,loc,x,beam_R2nsel,r,loc,y,-0.5*stud_HD,all,UYSFL,4,PRES,pressure,SFL,8,PRES,pressure,/replotAllsel,allsolveX-1*beam_R2Y-0.5*stud_HXbeam_R2Y-0.5*stud_HY44e8/(4.5*3.4)Pa84e8/(4.5*3.4)Pa!=/post1/UDOC,1,CNTR,RIGHplnsol,s,eqv,0,1JPEG19ANSYSJPGPRF,1500,300,1/SHOW,JPEGPLNSOL,U,SUM,0,

47、1,0PLNSOL,S,EQV,0,1,0finishfile000.jpgMisesfile001.jpgansys!%ANSYS6_4_2(2)%end%ANSYS7.2(1)(GUI)7-27-17-112(a)(b)7-22=mrr4ftzz=1600lb-sec2-ftzz20ANSYS2D2-DElasticBeamElements(BEAM3)Spring-DamperElements(COMBIN14)StructuralMassElement(MASS21)XYpq7-27-2ANSYSf1Hzf2HzReference7.2(1)1.09811.4406ANSYS1.098

48、11.44061.0001.000Reference7.2(1)ThomsonWT.VibrationTheoryandApplications,2ndPrinting,NJ:Prentice-Hall,Inc.,1965,181(GUI)(stepbystep)(1)ANSYSANSYSANSYSInteractiveWorkingdirectoryInitialjobname:VehicleRunOK(2)ANSYSMainMenuPreferencesStructuralOK(3)ANSYSMainMenuPreprocessorElementTypeAdd/Edit/Delete.Ad

49、dBeam:2delastic3ApplyLibraryofElementCombination:Spring-damper14ApplyLibraryofElementStructuralMass:3Dmass21OKElementTypesType2COMBIN14OptionsK32-DlongitudinalOKElementTypesType3MASS21OptionsK32-DwrotinertOKClose(4)ANSYSMainMenu:PreprocessorRealConstantsAdd/Edit/Delete.AddType23COMBIN14OKRealConstan

50、tsSetNo.11K:2400(k1=32400)Ok(RealconstantsAddType1BEAM3OKRealConstantsSetNo.22AREA:10,IZZ:10,HEIGHT:10(OkAddType3MASS21OKRealConstantsSetNo.3MASS:100IZZ:1600(OkAddType1BEAM3OKRealConstantsSetNo.44AREA:10,IZZ:10,HEIGHT:10(OkAddType2COMBIN14OKRealConstantsSetNo.55K:2600(k2=2600)CloseRealConstants(5)21

51、ANSYSANSYSMainMenu:PreprocessorMaterialPropsMaterialModelsStructuralElasticLinearIsotropicinputEX:4E9,PRXY:0.3(OKDensityDENS:0,OK(6)ANSYSMainMenuPreprocessorModelingCreateNodesInActiveCSNodenumber10101XYZLocationinactiveCS000Apply41010010）、（4.510）、（10）、（00OKANSYSMainMenu:PreprocessorModelingCreateEl

52、ementsElemAttributesType2COMBIN14OKANSYSMainMenu:PreprocessorModelingCreateElementsAutoNumberedThruNodes12OKANSYSMainMenu:PreprocessorModelingCreateElementsElemAttributesMAT,1TYPE,1Beam3REAL,2OKANSYSMainMenu:PreprocessorModelingCreateElementsAutoNumberedThruNodes23ANSYSMainMenu:PreprocessorModelingC

53、reateElementsElemAttributesType3MASS21REAL,3OKANSYSMainMenu:PreprocessorModelingCreateElementsAutoNumberedThruNodes3ANSYSMainMenu:PreprocessorModelingCreateElementsElemAttributesType1BEAM3REAL,4OKANSYSMainMenu:PreprocessorModelingCreateElementsAutoNumberedThruNodes34ANSYSMainMenu:PreprocessorModelin

54、gCreateElementsElemAttributesType2COMBIN14REAL,5OKANSYSMainMenu:PreprocessorModelingCreateElementsAutoNumberedThruNodes45(7)ANSYSMainMenu:SolutionDefineLoadsApply-StructuralDisplacementOnNodes15OKLab2:UXUY(XYApply3OKLab2:UXXOK(8)ANSYSMainMenu:SolutionAnalysisTypeNewAnalysisModalOKANSYSMainMenu:Solut

55、ionAnalysisOptionsMODOPTBlockLanczos,No.ofmodestoextract:5Expandmodeshapes:Yes,Numberofmodestoexpand:0OKBlockLanczosMethodStartFreq0.001EndFreq100OKANSYSMainMenuSolutionSolveCurrentLSOK(9)ANSYSMainMenuGeneralPostprocListResultsDetailedsummary(10)ANSYSUtilityMenuFileExitSaveEverythingOK22ANSYSANSYS7.

56、2(2)ANSYS7.2(1)GUI!%ANSYS7_2(2)%begin%/PREP7ANTYPE,MODALMP,EX,1,4E9MP,DENS,1,0MP,PRXY,1,0.3ET,1,BEAM3ET,2,COMBIN14,2ET,3,MASS21,3R,1,2400R,2,10,10,10R,3,100,1600R,4,10,10,10R,5,2600N,1N,2,1N,3,4.5,1N,4,10,1N,5,10TYPE,2E,1,2MAT,1TYPE,1REAL,2E,2,3TYPE,3REAL,3E,3TYPE,1REAL,4E,3,4TYPE,2REAL,5E,4,5D,1,UX

57、,5,4,UYD,3,UXFINISH/SOLU1111(2(3(KEYOPT(3)=3No.1k1=2400No.2No.3MASS=100,IZZ=1600KEYOPT(3)=3No.4No.5k2=260012345No.1No.1No.2No.3No.4No.515UXUY3UXMODOPT,LANB,5,0.001,100LANB50.001100SOLVE23ANSYS*GET,FREQ1,MODE,1,FREQ1FREQ1*GET,FREQ2,MODE,2,FREQ2FREQ2*STATUS!%ANSYS7_2(2)%end%ANSYS7.3(1)(GUI)0f=1,2,37-3

58、7-3E=30 x106psi=100in0=0.00543228=0.00073lb-sec2/in4A=0.00306796in27-37-33D(Tension-onlyorCompression-onlySparElementsLINK10)XYpqrs24ANSYS7-47-4ANSYSF,lbReference7.3(1)500.ANSYS500.1.000Stress,psif1Hzf2Hzf3Hz162,974.74.708149.42224.12162,974.75.094151.29229.681.0001.0051.0121.025Reference7.3(1)Thoms

59、onWT.VibrationTheoryandApplications,2ndPrinting,NJ:Prentice-Hall,Inc1965,264(GUI)(stepbystep)(1)ANSYSANSYSANSYSInteractiveWorkingdirectoryInitialjobnameStringStringRunOK(2)ANSYSMainMenuPreferencesStructuralOK(3)ANSYSMainMenuPreprocessorElementTypeAdd/Edit/Delete.AddLink3DBilinear10OkElementTypesType

60、1LINK10OptionsK3TensiononlyOKClose(4)ANSYSMainMenu:PreprocessorRealConstantsAdd/Edit/Delete.AddType1LINK10OKRealConstantsSetNo.11AREA:306796E-8ISTRN:543248E-8OkCloseRealConstants(5)ANSYSMainMenu:PreprocessorMaterialPropsMaterialModelsStructuralLinearElasticIsotropicEX:30e6NoteOKDensityDENS:73e-5,OK(