22

ANSYS6.1

22.1

22.1 Ti To 22.1 ANSYS

22.1 22.1 (W/mm. oC) (MPa) (oC-1) 1(), 0.0234 2.05E5 0.3 10.3

2 () , 0.152 0.63E5 0.33 20.7

22.2

ANSYS6.1

22.2.1

Thermal Stress in Concentric Cylinders-Indirect Method

1 Utility Menu | File | Change Jobname Change Jobname () 22.2 Enter new jobname ()CH20

22.2

2 Utility Menu | File | Change Title Change Title () 20.3 Enter new title ()Thermal Stress in Concentric Cylinders-Indirect Method

22.3

3Main Menu | Preference Preference of GUI Filtering () 22.4 Thermal() Thermal

ANSYS6.1

22.4

22.2.2

8 PLANE77

1Main Menu | Preprocessor | Element Type | Add/Edit/DeleteElement Types () Library of Element Types (), 22.5

22.5 PLANE77

2 Library of Element Type ()Thermal SolidQuad 8node 77 8 PLANE77 Library of Element Types ()Element Types () 22.6

22.6

3 PLANE77 22.6

PLANE77 element type options ( PLANE77) 22.7 K3Axisymmetric

22.7 4( 22.6)

22.2.3

1Main Menu | Preprocessor | Material Props | Material ModelsDefine Material Model Behavior () 22.8

22.8

2 22.8 Thermal | Conductivity | Isotropic 1 KXX 22.9

22.9 1

3 22.9 KXX 0.0234 1 0.0234 1 22.10

22.10 4 22.10Material | New Model Define Material ID

() 22.11 22.10

22.11 5 23 2 0.152W/mm.oC 22.10Material | Exit

22.2.4

1 Main Menu | Preprocessor | Modeling | Create | Rectangle | By Dimensions Create Rectangle by Dimensions () 22.12

22.12 2 XYX1=5.5X2=10.8Y1=0Y2=1.5

3 Create Rectangle by Dimensions () 2X1=10.8X2=15.6Y1=0Y2=1.5 22.13

22.13 4Main Menu | Preprocessor | Modeling | Operate | Booleans | Glue | Areas Glue Area () ANSYS

5Main Menu | Preprocessor | Numbering Ctrls | Compress Numbers Compress Numbers () 22.14

All

22.14 6 Utility Menu | PlotCtrls | Numbering Plot

Numbering Controls () LINE () AREA ()On Utility Menu | Plot | ReplotANSYS 22.15

22.15

22.2.5

1 Main Menu | Preprocessor | Meshing | Mesh Attributes | Picked Areas Area Attributes () ANSYS

A1 Area Attributes () 22.16

22.16

2Material number ()1 Element type number1 PLANE77 A1

3 Area Attributes () ANSYSA2 Area Attributes () 22.16Material number ()2 Element type number1 PLANE77

A2 4Main Menu | Preprocessor | Meshing | Size Cntrls |

ManualSize | Global | Size Global Element Sizes ()22.17 Element edge length ()0.8

22.17 5Main Menu | Preprocessor | Meshing | Mesh | Areas | FreeMesh Areas ()

22.18

22.18

22.3

22.3.1

20 18

1 Utility Menu | Select | Entities 22.19 NodesBy LocationsX coordinates5.5 X 5.5

2Main Menu | Solution | Define Loads | Apply | Thermal | Temperature | On Nodes Apply TEMP on Nodes (

) Apply TEMP on Nodes () 22.20

22.20 3 Load TEMP value () 180 Utility Menu | Select

4 13 X 15.6 20 0 22.19

Everything

20

22.3.2

1Main Menu | Solution | Current LS/STATUS Command ()( 22.21) Solve Current Load Step ()( 22.22)

2 22.21( 22.22)

22.21

22.22 3ANSYS ANSYS Solution is Done ()

22.3.3

ANSYS6.1 (POST1) ANSYS6.1

1Main Menu | General Postproc | Plot Results | Nodal Solu 22.23

22.23 2 Item to be contoured ()DOF

solutionTemperature TEMP ANSYS6.1 22.24

22.24 3Main Menu | General Postproc | Path Operations |

Define Path | By Location By Location () 22.25

22.25 4 Define Path Name ()radial By Location in Global Cartesian () 22.26

20.26 5 Path point number () 1 X Location in Global CS

( X) 5.5 6 5 20.26(Path point

number) 2 X Location in Global CS ( X) 15.6

7Main Menu | General Postproc | Path Operations | Map onto PathMap Result Items onto Path () 22.27

22.27

822.27temp Item to be mapped ()DOF solutionTemperature TEMP

9 Main Menu |

General Postproc | Path Operations | Archive Path | Store | Path in array Archive Path in to Array Parameters () 22.28

22.28 10 POIN-only points

Archive Path Points into Array () 22.29

22.29

11path

12Main Menu | General Postproc | Path Operations Plot Path Item | On Graph Plot of Path Items on Graph () 22.30

22.30 13TEMP ANSYS6.1

22.31

22.31 14Main Menu | General Postproc

| Path Operations Plot Path Item | On Geometry Plot of Path Items on Geometry () 22.32

22.32 15TEMP

Scale factor offset ()30 ANSYS6.1 22.33

22.33

22.4

22.4.1

ANSYS

22.4.1.1 PLANE77

PLANE82 1 Main Menu |

Preference Preference of GUI Filtering ()Sturctrual() Structural Thermal ANSYS6.1

2Main Menu | Preprocessor | Element Type | Switch Elem Type Swith Elem Type () 22.34

22.34 3 Change element type ()Thermal to Struc ANSYS6.1 22.35

22.35 4 5Main Menu | Preprocessor | Element Type |

Add/Edit/Delete(Element Types)

PLANE82 element type options ( PLANE82) 22.36

22.36 6 K3 Axisymmetric

Element Types ()

22.4.1.2

1Main Menu | Preprocessor | Material Props | Material ModelsDefine Material Model Behavior () 22.37

22.37 2Material Model Number1 ( 1) Structural | Linear | Elastic | Isotropic 1 EX PRXY EX

2.05E5PRXY0.3 3 22.37 Structural | Thermal

Expansion Coef | Isotropic Thermal Expansion Coefficient for Material 1 ( 1) 22.38

22.38 1

4 Reference temperature () 20 20 ALPX 10.3E-6

1 5 22.37Material Model Number 2 (2) 24 2

EX 0.63E5 PRXY 0.33 ALPX 20.7E-6( 20) 22.37

22.4.2

1 Utility Menu | Select | Entities( 22.19 )NodesBy LocationsX coordinates5.5

X 5.5 2Main Menu | Preprocessor | Coupling / Ceqn | Couple DOFs

Define Coupled DOFs () 22.39Set reference number () 1UX

22.39 3 12 Y 1.5 2 Y 1.5 Y()

4 1 Y 0 Main Menu | Solution | Define Loads | Apply | Structural | Displacement | On Nodes 22.40

22.40 5 DOFs to be Constrained ()UY

ANSYS6.1 22.41

22.41 6 Utility Menu | Select Everything

7Main Menu | Solution | Define Loads | Apply | Structural | Temperature | From Therm Analy Apply TEMP from Thermal Analysis () 22.42

22.42

8 Fname Name of results file () CH20.rth

22.42 CH20.rthANSYS6.1

9 Utility Menu | PlotCtrls | Symbols22.43

22.43 10 Body Load Symbols ()Structural temps

ANSYS6.1 22.44(/PBF,TEMP,1)

22.44

22.4.3

1Main Menu | Solution | Current LS/STATUS Command () Solve Current Load Step ()

2

3ANSYS Solution is Done ()

22.4.4

ANSYS

(POST1)

1 Main Menu | General Postproc | Path Operations | Archive Path | Retrieve | Path from array Retrieve Path from Arrays () 22.45

22.45 2 Define Path with Name ()pathPOIN-only points ANSYS6.1 22.46

22.46 3 ( PATH )

4Main Menu | General Postproc | Path Operations | Define Path | Path Options Path Options () 22.47

22.47 5Main Menu | General Postproc | Path Operations

| Map onto PathMap Result Items onto Path ()

22.48 6sx Item to be mapped ()StressXdirection SX X()

7 6 Z()sz

8Main Menu | General Postproc | Path Operations Plot Path Item | On Graph Plot of Path Items on Graph () 22.49

22.49 9SXSZ ANSYS

22.50

22.50 10Main Menu | General Postproc | Path

Operations Plot Path Item | On Geometry Plot of Path Items on Geometry () 22.51

22.51 11SX

With nodes ANSYS 22.52

22.52 12 22.51 SZ ANSYS

22.53

22.53

ANSYS Toobar

ANSYS ANSYS6.1

22.5

ANSYS GUI(!)

/TITLE,Thermal Stress in Concentric Cylinders-Indirect Method /COM, Thermal /PREP7 ET,1,PLANE77,,,1 !* MP,KXX,1,0.0234 MP,KXX,2,0.152 !* RECTNG,5.5,10.8,0,1.5 RECTNG,10.8,15.6,0,1.5 !* AGLUE,ALL ! NUMCMP,ALL ASEL,S,AREA,,1 1 AATT,1,1,1 1 1 ASEL,S,AREA,,2 AATT,2,1,1 ASEL,ALL !* ESIZE,1.5 ! AMESH,ALL NSEL,S,LOC,X,5.5 D,ALL,TEMP,180 NSEL,S,LOC,X,15.6

D,ALL,TEMP,20 NSEL,ALL FINISH !* /SOLU SOLVE FINISH /POST1 PLNSOL,TEMP, ,0, PATH,RADIAL,2 PPATH,1,,5.5 PPATH,2,,15.6 PDEF,TEMP,TEMP PAGET,PATH,POINTS,RADIAL PLPATH,TEMP PLPAGM,TEMP,30 FINISH !* /COM, Structural /PREP7 ETCHG,TTS KEYOPT,1,3,1 !* MP,EX,1,2.05E5 1 MP,ALPX,1,10.3E-6 MP,NUXY,1,.3 !* MP,EX,2,0.63E5 2 MP,ALPX,2,20.7E-6 MP,NUXY,2,.33 !* NSEL,S,LOC,X,5.5 CP,1,UX,ALL !* NSEL,S,LOC,Y,1.5 CP,2,UY,ALL !* NSEL,S,LOC,Y,0 D,ALL,UY,0

NSEL,ALL !* FINISH /SOLU TREF,20 LDREAD,TEMP,,,,,ch20.RTH !* /PBF,TEMP, ,1 SOLVE FINISH !* /POST1 PAPUT,PATH,POINTS PMAP,,MAT PDEF,SX,S,X X PDEF,SZ,S,Z !* PLPATH,SX,SZ PLPAGM,SX,,NODE PLPAGM,SZ,,NODE FINISH