abaqus begin
DESCRIPTION
Tesis courseTRANSCRIPT
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. .
: .. : ..
2010. "" 127083 , . , .18, 7 , 708 . (495) 612-44-22 (495) 232-2444 http://www.tesis.com.ru
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SIMULIA Abaqus . Abaqus Student Edition. Abaqus . : Abaqus/CAE. - . . Abaqus Unified FEA.
Abaqus Abaqus/CAE. Start Session, , 4 :
1) Create Model DataBase ; 2) Open DataBase - ; 3) Run Script ; 4) Start Tutorial . Create Model Database . ABAQUS/CAE :
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ABAQUS 6.9. , , . Viewport, , . . Viewport , . ABAQUS , , - . ABAQUS.
Module:
PART , , , ;
PROPERTY , , , ;
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ASSEMBLY , ; STEP , ; INTERACTION , , ; LOAD , , , ; MESH , - . JOB , , , ; VISUALIZATION , ; SKETCH , . Abaqus/CAE . . :
,
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.
- 10 , 5,0*5,0 , 16 P = 1 , . 1.1:
L P
.1.1: - .
: 1. Module PART.
Create Part. , .
.1.2:
2. Create Part , 1.3, . . wire 0.4 ., Beam-1. Continue.
3. , . 0.1 ., .
Create Lines Connected. . 1.3
. 1.4
-
, , 1.5, (0, 0) (0.1, 0). , Enter ( ). Cancel.
. 1.5
4.
, ancel .
Done.
. 1.6
PROPERTY: PROPERTY . . 1.7
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1. . Material => Create (. 1.8), Create Material , Materials :
. 1.8
Edit
,
Youn
. 1.9
2. ,
Material, 1.9. Metal. : General=>Density = 2600 (/3) Mechanical
=>Elasticity=>Elastic: gs Modulus = 5.6e+08
(),Poissons Ratio = 0.3. . .
. Create Section (
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Sections, Section=> Create) 1.10.
. 1.10
Create Section (. 1.11) - Beam. Beam Section. , Continue. . 1.11
Edit Beam Sections (. 1.12)
. Material Name Metal. : Create Profile name. .1.12
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Create Profile (. 1.13) Rectangular (). Rectangular. , Continue. Edit Profile (. 1.14), a = 0.005, b = 0.005. .
. 1.13 . 1.14 Profile name (. 1.12) .
3. .
Assign Section ( , : Assign => Section).
.1.15
, . Done. (. 1.16) . . 1.16
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4. , . Assign Section Orientation (
Assign => Beam Section Orientation). , , Done.
. 1.17
, ( ) . (0, 0, -1) (. 1.18), Enter ,
, . . 1.18
ASSEMBLY (. 1.19). Assembly, ( ) . , , .
. 1.19
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, Create Part Instance ( , : Instance => Create).
. 1.20
Parts.
, , Instance Type Independent , . . . 1.21
STEP (. 1.22). Abaqus , , . . 1.22
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Create Step (
, Step => Create), . . 1.23
Create Step (. 1.24), Initial. Static, General Loading. Continue, Edit Step (. 1.25), Description - Console Beam OK.
. 1.24
. 1.25
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STEP , Create Field Output Create History Output (. 1.26). , , , .. ,
.
. . 1.26 . , Manager. Field Output Manager (. 1.26) (
Output => Field Requests => Manager) Field Output Create, Create Field (. 1.28). Continue Edit Field O put Requ sts (. 1.29), .
Requests Manager(. 1.27).
ut e
,
. 1.27
. 1.28
l
ismiss. . 1.29
, 1.29.
Fie d Output Requests Manager (. 1.27) D
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LOAD. LOAD , , , . , Create Load ( , Load => Create). Create Load (. 1.31) Step Loading, . Tip Load. Category Mechanical Types for Selected Step ( ), Concentrated Force.
. 1.30
Continue . , 1.32, Done .
. 1.31
. 1.32
Edit Load (. 1.33),
CF2 = -1. . .
. 1.33
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. Create BC
( , BC => Create) . Create Boundary Condition (. 1.35) Initial Mechanical
Symmetry/Antisymetry/Encastre. BeamBound, Continue .
.35
, 1.36.
. 1.36
.
s ,
. 1.37
. 1.34 . 1
Done Edit Boundary Condition (. 1.37). Enca tre , . .
-
- .
S
1.38
, , .
Abaqus/CAE , Mesh. ME H ( 1.38).
Abaqus/CAE Seed, .
Seed Part Instance , ,
1.39 Seed Edge By Number ( 1.39), Seed => Edge By Number. 10 ( .40). 1
1.40
.
Enter, , Done. , - . Assign Element Type ( 1.41) Mesh = > Element Type ( 1.42).
1.41
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B21H, ,
, , ,
. 1.42
, Mesh Part Instance Mesh Part Instance Create ( 1.43). YES ( 1.44) . - .
1.43 - 1.44:
1.44
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JOB ( 1.45). Create Job ( 1.46) ( Job => Create,
.
1.45
.
) . Create Job ( 1.47), Beam2D-Bending. . ,
1.47 Edit Job ( 1.48), Full Analisys, Background Immediately. (Bending static). ,
, .
1.46 Continue
.
1.48
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, Job Manager ( 1.49) (
, Beam2D-Bending Submit, Job => Manager).
Submit. Running
.
( 1.50).
(.sta), s
1.49
Job Manager ( 1.50) 1.50 .
( 1.51).
, Abaqu
Abaqus/CAE Monitor Job Manager
.
.
1.51
: 1. Log, ,
. (.log).
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2. Errors Warnings, , (.dat) (.msg).
Visualization.
,
50 (.sta, .dat, .msg).
Dismiss, .
Job Manager
VISUALISATION.
, , . , , , . , , - . Abaqus/CAE
, ( 10
). ,
3. Output, , .odb.
Completed, .
( 1.50) Results,
Fast Plot
, Plot Deformed Undeformed ( 1.52) ,
Plot Contour
, , . , Plot.
, Result =>
, .
Field Output.
1.52
-
. Common
( 1.53)
Common Plot Options Labels , .54. Basi).
: Report => Field Output.
1.55
Options
1.53
1(
1.54
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Variable Repo t Field Output ( 1.5
r6) ,
S:Stress components, .
. Setup
Apply. u n Magnitu
m,
balka.rpt. ( 1.57). .
7
X-Y . , . , .
Integration Point.
S11 balka.rpt. Data
total. C
olumn
Output Uniq
1.56 S:Stress compo U:Spatial displace
. Variable Report Field e Nodal. ents, de ent. Apply.
Report Field Output .
.
1.5
-
: ( 1.58),
. ,
Common Plot Options ( 1.54).
Paths (
Create Path ( 1.60).
Node list ,
.
1.60
Edit Node List Path (
Add Before Add
e List Path.
. OK,
1.61 Edit Node List Path.
1.59).
1.58 Displacement.
Continue
1.59
1.61). Node Labels 1:11:1 OK. ( 1 11 1). ,
After Edit Nod
:
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XYData ( 1.62) Create XY Data Path
1.62
XY Data Path .
Y. Field Output,
U2,
Plot, X-Y .
1.65
.
( 1.63) Continue.
fro
1.63 m Path ( 1.64). X Values . Y Values Y . U,U2 OK ( 1.65).
1.64
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1.66
:
, 1.66
1.67
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- .
- , . 1 , . 1 , . , , . , , , .
, . , Model => Copy Model Model-1 Model-2 (. 2.1). .
2.1
. STEP. STEPS , , Step Manager, , Create Step. Procedure type => General, Dynamic, Implicit. Dynamic Loading (. 2.1). , Insert new step after Loading .
. 2.2
Edit Step . Basic Free Beam Time period, , 3 (. 2.3). Incrementation Fixed, 300, Increment size 0,01 (. 2.4). Other Numerical damping control parameter,
-
-0.33 ( ) Dismiss (. 2.5).
. 2.3 . 2.4 . 2.5
History Output , . , Tools => Set => Manager, , Create. - , Loading . Set-1, Rename. . Done, Dismiss (. 2.6).
. 2.6
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, History Output Requests Manager,
Output => History Output Request => Manager . Dynamic Loading , ,
Displacement/ Velocity/Acceleration
Set-1, Domain, Set (. 2.7).
e (. 2.8).
. 2.7
Dynamic Loading ,
, . LOAD. Propagated Inactive Deactivat
. 2.8
JOB . Job Manager Create. Create Job Model-2 . - Beam3D-Frequencies. Submit. Results
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VISUALIZATION *.odb. (. 2.9).
. 2.9
. Animate => Time History, Time History Animate . . Plot Contours on Deformed Shape (. 2.10).
. 2.10
, Animation Options , . , , , Animation Options Mode Play once.
Result => History output. , . , , , Dynamic Loading Spatial Displacement: U2 at Node 11 in NSET SET-1 (. 2.11).
. 2.11
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Plot (. 2.12). XY Curve Options. , : .. XY Plot Options, , , .
. 2.12
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.
. , . 3.1.
. 3.1
1. . . ,
. Plate 2 (. 3.2).
, . Create Circle (. 3.3).
. 3.2 . 3.3
. , (0, 0) (. 3.4). Enter, .
3.4 .
Enter (. 3.5).
-
3.5 .
, 1 . Done.
2. . Metal, E = 209 GPa , 0.3. Materials, . Edit Material, Metal, Mechanical => Elasticity => Elastic Elastic: 209E9 0.3 . General 7800 /3. OK, (. 3.6).
. 3.6
. Sections, . Create Section PlateSection, Shell, HomogEneous Continue. Edit Section (. 3.7). Metal. 0.01 . , Assign Section .
. 3.7
-
3. .
Assembly, Instances , . Create Instance. Plate Independent, OK.
4. .
Steps. Create Step Frequency. Linear perturbation, Frequency, Continue (. 3.8).
. . 3.8 Edit Step 10 (. 3.9). OK, . Steps Frequency.
. 3.9
5. .
BCs Create Boundary Condition (. 3.10) Fixed. Continue.
. 3.10
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, 3.11 Done. . 3.11
, ENCASTRE (. 3.12) OK. . 3.12
6. .
MESH. . , Mesh => Controls Tri, . 3.13.
. 3.13
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Seed Part , - (. 3.14) Mesh Part
.
. 3.14 - 3.15.
. 3.15
7. .
Jobs. Create Job. Plate, Continue (. 3.16). . 3.16 . OK, .
-
, , Job Manager . Submit (. 3.17), .
. 3.17
Monitor Job Manager. . . Errors Warnings, , . Visualization. Job Manager Results, Visualization.
8. .
Visualization . . Frame Selector (, )
(. 3.18)
. 3.18
Plate.dat (. 3.19):
. 3.19
-
(. 3.20): . 3.20
(. 3.21): . 3.21 (. 3.22): . 3.22 (. 3.23): . 3.23 (. 3.24): . 3.24
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.
. , . 3-
, , . 4.1. , - . , , .
. 4.1
. . . 3- Abaqus.CAE.
1. . . Create Part . Create Part (. 4.2) Hinge-hole, : 3D (), deformable () extruded () . Approximate size 0.250. Continue, .
. 4.2
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, . Add Dimension 0.04 . Edit Base Extrusion 0.04 . Depth () (. 4.3).
. 4.3
. , . 4.4.
. 4.4
Shape =>Solid => Extrude. . , 4.5. . 4.5 . ,
. Create Lines ( ) . , (. 4.6): 1) , . 2) . .
-
3) .
, . . 4.6 ,
Create Lines ( ). , (. 4.7): a) , Add Constraint ) ) 0.02 .
. 4.7
, , Create Arc ( 3 ) . , . . , .
. 4.8
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Add Constraint . Tangent . , , Create Circle ( ) . Add Dimension ()
, 0.01 .. , . , 0. , , (. 4.7). , . Edit Extrusion, Type, Build, , Depth 0.02 . Flip, , 4.9. . 4.9 Keep internal boundaries. , Abaqus/CAE , . .
, 4.10. , 4.11.
, , Abaqus/CAE . 4.10 .
: ) Tools=>Datum. Abaqus/CAE Create Datum. ) , . Create Datum (. 4.12) Point. Enter Parameter. ,
. 4.11
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4.12. , 0.0 1.0. . , , 4.12, 0.25, - 0.75 Enter. Abaqus/CAE .
. 4.12
) , . Create Datum Axis. 2 points. Abaqus/CAE , . (, ) (. 4.13). Abaqus/CAE , .
. 4.13
) , . Create Datum Plane. Point and normal. , . , (. 4.14). Abaqus/CAE . . 4.14
, , . 4.15.
-
. , , (0.75 0.25 ). Create
.4.15
. 4.16
Datum Point Midway between 2 points (. 4.16). .
Shape=>Cut=>Extrude. , . , , 4.17. , , .
. 4.17
0.003 . (. 4.18). , Done.
. 4.18
-
Abaqus/CAE , ,
, . Edit Cut Extrusion. Type Edit Cut Extrusion Up to Face, OK (. 4.19). , , . 4.19
, 4.20.
Abaqus/CAE .
. 4.20
View => Part Display Options (. 4.22).
. 4.22 . 4.21
, ,
. File=>Save. Save Model Database As. File Name OK. ; Abaqus/CAE
-
.cae . Abaqus/CAE Part. .
2. . :
) . ) , . ) .
Steel, 209 GPa , 0.3. Materials, . Edit Material, Steel, Mechanical=>Elasticity=>Elastic Elastic: 209E9 0.3 . OK, (. 4.23).
S o
.
. 4.23
. Sections, . Create Section SolidSection, olid, Hom goneous Continue. Edit Section (. 4.24). Steel. Plane stress/strain thickness
. 4.24 , Assign
Section .
3. . , ,
, . , . 3- Hinge-hole Parts Copy.
-
Hunge-solid OK. Abaqus/CAE Hinge-solid. . Hinge-solid, , . Hunge-solid, Parts, . Feature
Hinge-solid. 3- Datum pt-1 (. 4.25). Abaqus/CAE . Delete. Abaqus/CAE , . Yes.
. 4.25
4. .
, . . ; , .
Parts, . Pin. , , , Analitical rigid Revolved shell (. 4.26).
. 4.26
.
-
Create Lines . . 0.01.
0.06 (. 4.27). , . 4.28. . 4.27 . 4.28
. , . Load. , , . , . Tools>Reference Point. . Abaqus/CAE RP, , (. 4.29).
. 4.29
5. .
. . . . . , Abaqus/CAE , . , , . :
) Hinge-hole. ) Hinge-solid.
-
) Pin Assembly (. 4.30).
Instances , . Create Instance (. 4.31), .
Hinge-hole Apply. . 4.30 Abaqus/CAE , Hinge-hole-1, , Hinge-hole. . 4.31
. , Abaqus/CAE X. Create Instance Auto-offset from, Hinge-solid OK (. 4.32).
. 4.32
Abaqus/CAE , X, , 4.33.
. 4.33 . Assembly , , .
-
Constraint. Assembly:
Parallel face ( ): , .
Face to Face ( ): , .
Parallel Edge ( ): ,
Edge to Edge ( ): , .
Coaxial (): , .
Coincident Point (): , .
Parallel CSYS: , . ,
. Y 180 . Rotate . Done (. 4.34).. . 4.34 , ,
(0, 0, 0) (. 4.35). Enter.
. 4.35 , (0, 1, 0) (. 4.36) Enter.
. 4.36
. 180 (. 4.37) Enter. . 4.37 OK. Abaqus/CAE .. Auto-Fit View
, .
-
Constraint => Coincident Point. , 4.38
. 4.38
(. 4.39).
. 4.39 Abaqus/CAE , 4.40:
. 4.40
, . Instances Assembly. Create Instance Auto-offset from other instances (. 4.41).
. 4.41 , , . Constraint => Coaxial.
-
. (. 4.42). OK. . 4.42 Abaqus/CAE , 4.43.
. 4.43
Translate Instance , Z. (. 4.44)
. 4.44
Done. . (0.06, 0.02, 0.04) (. 4.45) Enter.
. 4.45
-
(0.06, 0.02, 0.06) (. 4.46) Enter.
.46 . 4
Abaqus/CAE 0.02 Z (. 4.47)..
. 4.47
6. .
. 3 : . . . , . Abaqus/CAE , ..
, Steps. Create Step Contact. Static, General Continue (. 4.48). Description Establish contact (. 4.49). Incrementation 1, Initial. 0.1 (. 4.50). OK, . Steps Contact. , Static, General Load. Apply Load 0.1 . . 4.48
-
. 4.49 . 4.50
.
Field Output Output Requests . . , .
, , History Output Requests ( ). X-Y . istory Output, , .
Contact Load : S ( ) PE ( ) PEEQ ( ) PEMAG ( ) LE ( ) U ( ) RF ( ) CF ( ) CSTRESS ( ) CDISP ( ) Abaqus/CAE Static, General
. Contact , .
-
3- Field Output Requests Manager. Field Output Requests Manager F-Oyput-1 Contact Edit (. 4.51). . 4.51 \ Edit Field Output
Requests Contact. (Frequency) Last increment, . OK, (. 4.52).
. 4.52
Field Output Requests Manager F-Output-1 Load. Edit. Edit Field Output Requests Load (. 4.53). 1, . . OK, . Field Output Requests Manager Load Modified.
. 4.53
-
Field Output Requests Manager Dismiss, . ,
. , : Property. Interaction.
Load. Step. Job X-Y .
Set ( ), . , . Set Assembly Sets. Create Set. Monitor Continue (. 4.54).
. 4.54
, 4.55. Done, , . Abaqus/CAE Set Monitor, .
. 4.55
Step Output=>DOF Monitor (. 4.56).
. 4.56 DOF Monitor. Monitor a degree of freedom throughout the analysis. Edit (. 4.57). . 4.57
-
Points ( ) Monitor Region Selection (. 4.58).
. 4.58
1 Degree of Freedom OK (. 4.59).
. 4.59
7.
. . ,
. , , , . Abaqus/CAE. , . , . .
; , (master) (slave) . , . :
) Pin, . ) Flange-h Flange-s ,
. ) Inside-h Inside-s
, . .
Assembly Surfaces. Create Surface (. 4.60).
-
Pin Continue. . , , . . 4.60
, , , . 4.61 , . , ,
. , . Brown Purple, .
Abaqus/CAE Pin Surfaces .
. 4.61
. View => Assembly Display Options. Assembly Display Options, Instance (. 4.62). , , Visible. . Visible Pin-1 Hinge-solid-1, Apply. Abaqus/CAE . .
. 4.62 Surfaces Assembly.
Create Surface. Flange-h Continue. , , 4.63. ( , , ). , , .
-
Abaqus/CAE Flange-h Surfaces.
. 4.63
Inside-h,
, 4.64. (, , , ).
. 4.64 , Hinge-solid-1.
Flange-s, (. 4.65).
. 4.65
Inside-s, (. 4.66).
. 4.66 : Hinge-hole-1 .
HingePin-hole. Hinge-solid-1 __
HingePin-solid. __ Flange.
-
. , . Interaction Properties, . Create Interaction Property. NoFric. Type Contact Continue (. 4.67).
. 4.67
Edit Contact Property (. 4.68). Mechanical => Tangential Behavior Frictionless ( ). OK, Edit Contact Property.
. 4.68
. , . , : , . . 3-
Interaction Manager. Interaction Manager. Create (. 4.69).
. 4.69
-
Create Interaction. HingePin-hole. Initial. Types for Selected Step Surface-to-surface contact (Standard) Continue (. 4.70).
. 4.70
2
Region Selection, , . :
, Surfaces . Region
Selection Pin (master) , Continue (. 4.71).
. 4.71 Surface
(. 4.72).
. 4.7 Region Selection
Inside-h (slave) , Continue (. 4.73).
. 4.73
-
Edit Interaction. Sliding formulation Finite sliding, Slave Adjustment No Adjustment. NoFric. OK, (. 4.74).
. 4.74
Interaction Manager. 1. ,
HingePin-solid. Pin , Inside-s . NoFric .
2. Flange. Flange-h , Flange-s NoFric .
( , ). Interaction => Find contact pairs.
Find Contact Pairs Find Contact Pairs (. 4.75). .
Contact Pairs : 1) , . , . 2) ,
( ). . . , 3- , Delete.
-
3) . HingePin-hole.
4) . HingePin-solid. Flanges.
. 4.75 5) ,
. Discretization 3- . Edit cells. Node-to-surface OK.
6) OK, .
8. .
, . :
1) Fixed, , 4.76.
. 4.76
-
2) NoSlip, , . (, ) , X (U1) Y (UR2). 4.77 , .
. 4.77
3) Constraint, (. 4.78). , Load X (U1). . 4.78
,
. 4.79 , .
. 4.79
. 3- BCs Manager. Boundary Condition Manager. Create. Create Boundary Condition (. 4.80). :
1) Fixed. 2) Initial
. 3)
Displacement/Rotation Continue.
. 4.80
-
, . , 4.76 Done. Edit Boundary Condition. U1, U2 U3, 1, 2 3 (. 4.81). , ( ). OK, .
. 4.81
, , Boundary Condition Manager,
, . Boundary Condition Manager , . : ,
. BC Assembly Display Options, .
. Boundary Condition
Manager Create. Create Boundary Condition. :
1) NoSlip. 2) Initial Step. 3) Category Mechanical. 4)
Displacement/Rotation Continue.
, (. 4.77). , , . Edit Boundary Condition.
, OK (. 4.82). Boundary Condition Manager.
. 4.82
-
, Boundary Condition Manager ( ) NoSlip, X Y Load. Boundary Condition Manager
, , : Created Propagated . Boundary Condition Manager Propagated, NoSlip Load (. 4.83). .
. 4.83 Edit, ,
NoSlip Load. Edit Boundary Condition. U1 UR2, X Y (. 4.84). OK, .
. 4.84 Boundary Condition Manager NoSlip Load
Modified. . Contact
. , . , , X. Initial Constrain.
-
, , 4.78. X, Y Z (. 4.85). . 4.85 Load ,
X. Dismiss, Boundary Condition Manager (. 4.86).
. 4.86
X. Loads, . Create Load. :
1) Pressure. 2) Load Step. 3) Category Mechanical. 4) Types for Selected Step Pressure Continue (. 4.87).
. 4.87
-
, , 4.88.
. 4.88 , ,
. Edit Load. -1E6 OK (. 4.89). , .
. 4.89
9. .
Mesh, Abaqus/CAE , : : , . : , . : , () , . ( ). Hinge-hole. Hinge-hole Parts Mesh. Abaqus/CAE (. 4.90).. , . . 4.90
-
, . Abaqus/CAE , , 4.91. . 4.91
Partition Cell . Done. . 3 Points (. 4.92).
. 4.92
3 , , Create Partition (. 4.93). Abaqus/CAE ..
, . 4.93
. Mesh => Controls. Done. Mesh Controls (. 4.94). Hex Element Shape. Sweep, - Medial axis. OK, . , , Sweep. Done . . 4.94
-
. ,
, , , .
. Seed => Part. Global Seed (. 4.95) 0.008 OK.
. 4.95
. Mesh => Part. Yes , (. 4.96). . 4.96
Abaqus/CAE (. 4.97).. . 4.97
- ,
. , - . Abaqus/CAE .
-
, , - , 4.98.
. 4.98
10. . , , , . Jobs. Create Job. PullHinge, Continue (. 4.99).
. 4.99
. Description Hinge tutorial. , . OK, (. 4.100). . 4.100
-
Job Manager Job Manager. Submit (. .
4.101),
. 4.101
Monitor
Job Manager. . . Errors Warnings, . ,
Visualization. Job Manager Results Abaqus/CAE Visualization, , .
11. .
Visualization . :
. 4.102
-
. 4.103
.
. 4.104
-
12.
. Abaqus.CAE
, : 1. 2. 3. 4. 5. ..
, .
-
Abaqus.
Abaqus Unfied FEA
, . . , .
. 5.1
. Abaqus/CAE, => => Abaqus 6.x HTML Documentation.
5.1 . . , Abaqus Unified FEA.
Abaqus/CAE User's Manual:
- Abaqus/CAE, .
-
Abaqus Analysis User's Manual:
Abaqus, , , Abaqus , , , .. Abaqus/Standard Abaqus/Explicit.
Abaqus Example Problems Manual:
, . Abaqus, Abaqus/CAE .
Getting Started with Abaqus: Interactive Edition:
- Abaqus/CAE. , , , , . Abaqus Unified FEA.
Getting Started with Abaqus: Keywords Edition:
Abaqus . - . , , . Abaqus , Abaqus, .
Abaqus .
. , , . , , Buckle Search All Books.
-
. 5.2
Abaqus, Abaqus/CAE, . , . *.inp Abaqus.
. 5.3
-
, Abaqus. C:\Temp. : C:\SIMULIA\Documentation\docs\v6.9\books\eif Abaqus/CAE
File=>Import=>Model (. 5.4).
. 5.4
Job, , Source Input File (. 5.5). , Submit (. 5.6). . 5.5 . 5.6
-
, , [email protected].
.1 - 2 - 3 - - 4 - 5 - 6 -