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MSC Nastran 비선형 해석 활용 2014 Korea Users Conference
Presented By: DK Oh ( Ahtti )
June 2, 2014
1
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Contents
1. Bolt결합 유형 모델링 기법
2. Glue Contact조건의 고유진동수 해석
3. SOL 400을 이용한 Forming Simulation4. SOL 400을 이용한 Rubber Seal접촉해석
5. SOL 400을 이용한 Springback해석
6. SOL 400을 이용한 Circuit Board열응력 해석
2
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1.Bolted Plate Analysis
3
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Ch.1 Bolt 합 유형 모델링 기법
1. RBE2 Bolt Model 1-1. Type 1 - Full Connection
1-2. Type 2 - Half-Half Connection
1-3. Type 3 - Head Surface Connection
2. 3D Solid Bolt Model 3-1. Type 1 - Only Contact
3-2. Type 2 - Contact and Bolt Preload
Bolt합
유형
모델링
기법
4
Object:
i) Patran에서 지원되 Bolt Modeling 방법 소
ii) Nastran Sol400으로 Bolted Plate비선형 해석 소
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Ch.1 Bolt 합 유형 모델링 기법
- Overview of F.E Model
Top plateBolt
Nut
Bottom plate
1. Specification Units: mm
Top plate 55x20x6
Bottom plate 55x20x6 Bolt hole radius = 5
Bolt shaft radius = 4
Bolt head radius = 6
Bolt head thick = 2
Nut thickness = 2
Nut outer radius = 6
2. Material Properties Eplate = 210 kN/mm
2
Ebolt = Enut = 210 kN/mm2
Vplate = Vbolt,nut = 0.3
3. Boundary Conditions Top plate_Bottom plate – Touch
T,B plate_Bolt – Touch
Bottom plate_Nut – Touch Bottom Plate End - Fixed
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1-1. RBE2Type 1 : Full Connection
1-2. RBE2
Type2 : Half-Half Connection
1-3. RBE2
Type3 : Head Surface
Connection
6
Ch.1 Bolt 합 유형 모델링 기법
2-1. 3D Solid
Type 1 : Only Contact
2-2. 3D SolidType 2 : Pre-Load
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Ch.1 Bolt 합 유형 모델링 기법
( RBE2 )
1. RBE2 Bolt Model 1-1. Type 1 - Full Connection
DOF Check
Auto Create Center Node
Node List
-MPC Modeling-
Utilities >> FEM-General >> RBE2/RBE3 Spider
Load Type1 : Tension
Load Type2 : Bending Load Type3 : Torque
-Load Case-
RBE2 Usage : 1 EA
RBE2-1
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Ch.1 Bolt 합 유형 모델링 기법
( RBE2 ,Result )
1. RBE2 Bolt Model 1-1. Type 1 - Full Connection
Load Type2 : Bending Load Type1 : Tension Load Type3 : Torque
Stress Max. = 47 MPa Stress Max. = 173 MPa Stress Max. = 103 MPa
Disp. Max. = 0.09 mm Disp. Max. = 0.58 mm Disp. Max. = 0.08 mm
Stress Max. Stress Max.
Stress Max.
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Ch.1 Bolt 합 유형 모델링 기법
( RBE2 )
1. RBE2 Bolt Model 1-2. Type 2 - Half-Half Connection
DOF Check
Auto Create Center Node
Node List
-MPC Modeling-
Utilities >> FEM-General >> RBE2/RBE3 Spider
Load Type1 : Tension
Load Type2 : Bending Load Type3 : Torque
-Load Case-
RBE2 Usage : 3 EA
Beam Element : 1EA
RBE2
RBE2
RBE2 and Beam
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Ch.1 Bolt 합 유형 모델링 기법
( RBE2 ,Result )
1. RBE2 Bolt Model 1-2. Type 2 - Half-Half Connection-RBE2
Load Type2 : Bending Load Type1 : Tension Load Type3 : Torque
Stress Max. = 47 MPa Stress Max. = 173 MPa Stress Max. = 103 MPa
Disp. Max. = 0.09 mm Disp. Max. = 0.58 mm Disp. Max. = 0.08 mm
Stress Max. Stress Max.
Stress Max.
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Ch.1 Bolt 합 유형 모델링 기법
( RBE2 ,Beam, Result )
1. RBE2 Bolt Model 1-2. Type 2 - Half-Half Connection-Beam Element
Load Type2 : Bending Load Type1 : Tension Load Type3 : Torque
Stress Max. = 47 MPa Stress Max. = 173 MPa Stress Max. = 103 MPa
Disp. Max. = 0.1 mm Disp. Max. = 0.6 mm Disp. Max. = 0.1 mm
Stress Max. Stress Max.
Stress Max.
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Ch.1 Bolt 합 유형 모델링 기법
( RBE2 )
1. RBE2 Bolt Model 1-3. Type 3 - Head Surface Connection
DOF Check
Auto Create Center Node
Node List
-MPC Modeling-
Utilities >> FEM-General >> RBE2/RBE3 Spider
Load Type1 : Tension
Load Type2 : Bending Load Type3 : Torque
-Load Case-
RBE2
RBE2
RBE2 and Beam
RBE2 Usage : 3 EA
Beam Element : 1EA
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Ch.1 Bolt 합 유형 모델링 기법
( RBE2 ,Result )
1. RBE2 Bolt Model 1-3. Type 3 - Head Surface Connection-RBE2
Load Type2 : Bending Load Type1 : Tension Load Type3 : Torque
Stress Max. = 38 MPa Stress Max. = 191 MPa Stress Max. = 93 MPa
Disp. Max. = 0.09 mm Disp. Max. = 0.6 mm Disp. Max. = 0.08 mm
Stress Max. Stress Max.Stress Max.
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Ch.1 Bolt 합 유형 모델링 기법
( RBE2 ,Beam, Result )
1. RBE2 Bolt Model 1-3. Type 3 - Head Surface Connection-Beam Element
Load Type2 : Bending Load Type1 : Tension Load Type3 : Torque
Stress Max. = 38 MPa Stress Max. = 207 MPa Stress Max. = 93 MPa
Disp. Max. = 0.1 mm Disp. Max. = 0.8 mm Disp. Max. = 0.1 mm
Stress Max. Stress Max.Stress Max.
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Ch.1 Bolt 합 유형 모델링 기법
( 3D-Solid Bolt Model, SOL 400 )2. 3D-Solid Bolt Model
2-1. Type 1 – Contact, No Pre_Load
-3D-Solid Modeling- -Load Case-
2-2.Bottom_Plate_Body
5-4.Nut_Body
Load Type1 : Tension
Load Type2 : Bending Load Type3 : Torque
1-1.Top_Plate_Body
3-3.Bolt_Body
T
TT
T
Top_Plate Bottom_Plate ->T
• G : Glue
• T : Touch
Top_Plate Bolt ->T Bottom_Plate Bolt ->T
Nut Bottom_PLate ->T
4-3.Bolt_Head
T
Bolt_Head Top_PLate ->T
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Ch.1 Bolt 합 유형 모델링 기법
( 3D-Solid Bolt Model, SOL 400, Result )
)
Load Type2 : Bending Load Type1 : Tension Load Type3 : Torque
2. 3D-Solid Bolt Model
2-1. Type 1 – Contact, No Pre_Load
Stress Max. = 80 MPa Stress Max. = 185 MPa Stress Max. = 139 MPa
Disp. Max. = 0.1 mm Disp. Max. = 0.6 mm Disp. Max. = 0.1 mm
Stress Max. Stress Max.Stress Max.
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Ch.1 Bolt 합 유형 모델링 기법
( 3D-Solid Bolt Model, SOL 400 )
-3D-Solid Modeling-
2-2.Bottom_Plate_Body
2. 3D-Solid Bolt Model
2-2. Type 2 – Contact, Pre-Load
Pre-Load Type
MPC Location :
Split the element mesh
- Geometric : Automatic
- Vectorial : Crood 기준
- Elemental : User Selection
(recommend)
Control Node Offset Vector
Offset Value
Bolt Pre-Load Value
Bolt Element List
(Split List)
- Bolt Modeling Tools -
MPC Type
- Overclosure :
Nastran Bolt Card (Marc base)
- Explicit : Nastran MPC Card
Top_Plate Bottom_Plate ->T
• G : Glue
• T : Touch
Top_Plate Bolt ->T Bottom_Plate Bolt ->T
Nut Bottom_PLate ->T
Bolt_Preload
5-4.Nut_Body
1-1.Top_Plate_Body
3-3.Bolt_Body
T
TT
T
4-3.Bolt_Head
T
Bolt_Head Top_PLate ->T
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Ch.1 Bolt 합 유형 모델링 기법
( 3D-Solid Bolt Model, SOL 400 )2. 3D-Solid Bolt Model
2-2. Type 2 – Contact , Pre-Load
- Manual input-
BOLT 2 5001
TOP 4661 4662 4663 4664 4665 4666 4667
4668 4669 4670 4671 4672 4673 4674
생략
BOTTOM 5002 5003 5004 5005 5006 5007 5008
5009 5010 5011 5012 5013 5014 5015
생략
.
MPCADD 43 2 3 4 5 6 7 8
MPC 2 5002 1 -1. 4661 1 1.
5001 1 1.
MPC 2 5002 2 -1. 4661 2 1.
5001 2 1.
MPC 2 5002 3 -1. 4661 3 1.
5001 3 1.
생략
- Displacement
FORCE 1 5001 0. .57735 .57735 .57735
SPCD 1 5001 2 10.
- Force
FORCE 1 5001 0 250. 0. 0. 1.
- Nastran Input-
Overclosure
Explicit
Bolt Preload Case
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Ch.1 Bolt 합 유형 모델링 기법
( 3D-Solid Bolt Model, SOL 400, Load Step )
2. 3D-Solid Bolt Model
2-2. Type 2 – Contact , Pre-Load
Step 1 : Bolt Preload Step 2 : External Load
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Ch.1 Bolt 합 유형 모델링 기법
( 3D-Solid Bolt Model, SOL 400, Result )2. 3D-Solid Bolt Model
2-2. Type 2 – Contact , Pre-Load
Load Type2 : Bending Load Type1 : Tension Load Type3 : Torque
Stress Max. = 57 MPa Stress Max. = 188 MPa Stress Max. = 136 MPa
Disp. Max. = 0.1 mm Disp. Max. = 0.6 mm Disp. Max. = 0.1 mm
Stress Max.Stress Max.
Stress Max.
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Ch.1 Bolted Plate Model Analysis
1. RBE2 Bolt Model-Result Summary
Stress (MPa)
Tension Bending Torque Type1
- RBE2-Full 47 173 103
Type2
- RBE2-RBE2-RBE247 173 103
Type3
- RBE2-Beam-RBE2 47 173 103
Type4
- SRBE2-RBE2-SRBE2 38 191 93
Type5- SRBE2-Beam-SRBE2 38 207 93
Displacement (mm)
Tension Bending Torque Type1
- RBE2-Full 0.09 0.58 0.08
Type2
- RBE2-RBE2-RBE20.09 0.58 0.08
Type3
- RBE2-Beam-RBE2 0.1 0.6 0.1
Type4
- SRBE2-RBE2-SRBE2 0.09 0.6 0.08
Type5- SRBE2-Beam-SRBE2 0.1 0.8 0.1
Stress (MPa)
Tension Bending Torque
Type1-Contact
- Plate 80 185 139
Type2-Contact and Preload
- Plate57 188 136
Displacement (mm)
Tension Bending Torque
Type1-Contact
- Plate 0.1 0.6 0.1
Type2-Contact and Preload
- Plate0.1 0.6 0.1
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2. Glue Contact 조건의 고유 진동수
해석
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Analysis type
- SOL 103
Material properties- E = 210×10 Pa, ν= 0.4, ρ= 1100 kg/m³
Contact properties- Glued Contact
Applied loads
- None
Element type
- Case 1 :연속체
Casing – tet10 / Shroud – tet10- Case 2 : Glue contact
Casing – hex20 / Shroud – tet10
7
Case 1연속체
Case 2Glue contact
Ch.2 Glue Contact 조 의 고유 진동수 해석
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Contact Table
24
Input Data
IGLUE option
Glue Contact option
Case 2Glue contact
MASTERS
SLAVE
Ch.2 Glue Contact 조 의 고유 진동수 해석 ( Contact 설정 )
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Features Mode shape 7 Mode shape 8 Mode shape 9 Mode shape 10
Case 1 (연속체)
Runtime - 3749sec(1:02:29)
Node - 555,450
Element-434,768
298.92 Hz 298.99 Hz 315.11 Hz 486.74 Hz
Case 2 (Glue Contact)
Runtime - 2554sec(0:42:34)
Node - 431,101
Element-229,358
297.17 Hz 297.28 Hz 312.52 Hz 477.45 Hz
Ch.2 Glue Contact 조 의 고유 진동수 해석 ( Result )
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3. SOL 400을 이용한 Forming
Simulation
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Ch.3 SOL 400을 이용한 Forming Simulation
Object :
- SOL 400 ( Velocity-Controlled Rigid bodies적용 )
Description :
- Work-hardening(가공경화)의 Elasto-plastic material적용
- Reduced integration shell elements적용
- Deformable-rigid body: Friction 적용
Item Description
Solution Type SOL 400
Elements Type 4-noded reduced integration elements
Material Properties Aluminium alloy/E=70000 N/mm2, v=0.3, Thickness=1
Applied load Type Velocity-Controlled Rigid bodies
ContactRigid body: Punch, Die, Holder
Deformable body: Blank
Coefficient of friction = 0.05
PUNCH: RIGID
DIE: RIGID
HOLDER:
RIGID
BLANK:
DEFORMABLE
Symmetry displacement constraints (1/4모델)
XY SYMM[DOF 345 FIXED]
YZ SYMM[DOF 156 FIXED]
Ch3 SOL 400을 이용한 Forming Simulation
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Ch3. SOL 400을 이용한 Forming Simulation - Solution Details
Modeling : Contact :
SOL 400SUBCASE 1
SPC = 9
SPCFORCES(SORT1,PRINT,REAL)=ALL
BOUTPUT(SORT1,PRINT)=ALL
DISPLACEMENT(SORT1,PRINT,REAL)=ALL
STRESS(SORT1,PRINT,REAL,VONMISES,CORNER)=ALL
BCONTACT = 1
ANALYSIS = NLSTAT
NLSTEP = 1
BEGIN BULK
PARAM LGDISP 1
NLMOPTS ASSM ASSUMED
BCPARA 0NLGLUE 1BIAS 0.95FNTOL 50.
FTYPE 6
PARAM POST -1
PARAM,CDBMSG05,5
$! Bulk Data Model Section
MAT1 1 70000. 0.3 1.
MATEP 1 Table 1
PSHELL 1 1 1. 1 1 PSHELL_1
PSHLN1 1 ++ C4 DCT LRIH PSHELL_1
TABLES1 1 2 +
+ 0.0 191.10.033333 249.7720.066667 293.962 -생략
1. 428.752 ENDT
SPCADD 9 1 2
NLSTEP 1 +
+ FIXED 50 +
+ MECH UPV PFNT
$! Contact Body: BLANK
BCBODY 1 3D DEFORM 2 0 1
BSURF 2 1 THRU 360
$! Contact Body: PUNCH
BCBODY 101 3D RIGID 0 1 0+
+ 0.0 0.0 0.0 0.0 40. 0.0+
+ RIGID 3 PUNCH + -생략
$! Contact Body: HOLDER
BCBODY 102 3D RIGID 0 1 0+
+ 0.0 0.0 0.0 0.0 0.0 0.0+
+ RIGID 3 HOLDER + -생략 $! Contact Body: DIE
BCBODY 103 3D RIGID 0 1 0+
+ 0.0 0.0 0.0 0.0 0.0 0.0+
+ RIGID 3 DIE + -생략
$! Contact Table: BCTABLE_1
BCTABLE 1 3 +
$ Pair: BLANK / DIE
+ SLAVE 1 0.0 50. 0.05 0.0 +
+ FBSH 0.95 +
+ MASTERS 103 +$ Pair: BLANK / HOLDER
+ SLAVE 1 0.0 50. 0.05 0.0 +
+ FBSH 0.95 +
+ MASTERS 102 +
$ Pair: BLANK / PUNCH
+ SLAVE 1 0.0 50. 0.05 0.0 +
+ FBSH 0.95 +
+ MASTERS 101
Friction coefficient
Large-strain shell elements
Z velocity of +40 mmper unit time
Separation force
Separation force
bilinear Coulomb friction
Stress vs. plastic strain
Doubly-curved thick Shell &
Linear Reduced Integration
0: Velocity control
Ch3 SOL 400을 이용한 Forming Simulation
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Plastic Strain [MARC]
Von Mises Stress [MARC]
Plastic Strain [SOL 400]
Von Mises Stress [SOL 400]
MAX: 4.574-001
MAX: 4.592-001
MAX: 4.239+002
MAX: 4.238+002
Ch3. SOL 400을 이용한 Forming Simulation ( Results (SOL400 , MARC ))
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4. SOL 400을 이용한 Rubber Seal
접촉해석
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Object :
- SOL 400 ( Segment-to-Segment Contact / Small Sliding and Friction )
Description :
- Moving rigid body : -Y 방향 200 mm Position적용
- Deformable body : Bilinear Coulomb friction적용 [Coefficient of friction=0.1]
- Node-to-segment와 segment-to-segment contact status비교
Item Description
Solution Type SOL 400
Elements Type TET4 (CTETRA : 5387 EA)
Material Properties Neo-Hookean Material/Mooney : C10 = 100
Applied load Type Position-Controlled Rigid bodies
ContactMoving rigid body: Touching
Deformable body : Self touching
Fixed rigid body : Glued
Moving body :
Touching
Deformable body:
Self Touching
Fixed body :
Glued
200 mm
Ch4. SOL 400을 이용한 Rubber Seal 접촉해석
Ch4 SOL 400을이용한 R bb S l 접촉해석
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Modeling : Contact :
SOL 400
$ Bulk Data Pre Section
NLMOPTS ASSM ASSUMED
LRGSTRN 2
SPROPMAP2
BCPARA 0 BIAS 0.95 IBSEP 2 FTYPE 6+
+ NLGLUE 1 METHOD SEGSMALL
$ Bulk Data Model SectionMATHE 1 Mooney 1000000. 0.0 +
+ 100. 0.0
PSOLID 1 1 Psolid
PSLDN1 1 1 +
+ C4 ISOL L Psolid
$ Bulk Data Post Section
NLSTEP 1 +
+ GENERAL 10 1 10 ++ ADAPT 0.01 0.55 1.2 +
+ 6 +
+ MECH PVA PFNT
$ Contact Body: Deformable
BCBODY 1 3D DEFORM 2 0
BSURF 2 1 THRU 3858
$ Contact Body: Moving
BCBODY 101 3D RIGID 1 -1+
+ 0.0 0.0 1. 0.0 -200. 0.0+
+ RIGID 1 Moving +
NURBS -2 2 2 2 50 50 0 -생략
$ Contact Body: Fixed
BCBODY 102 3D RIGID 1 0++ 0.0 0.0 1. +
+ RIGID 1 Fixed +
NURBS -2 2 2 2 50 50 0 -생략
$ Contact Table: BCTABLE_1
BCTABLE 0 3 +
$ Pair: Deformable / Deformable
+ SLAVE 1 0.1 +
+ MASTERS 1 +
$ Pair: Deformable / Fixed+ SLAVE 1 1 +
+ 0 1 0
+ MASTERS 102 +
$ Pair: Deformable / Moving
+ SLAVE 1 1 +
+ 0 1 0
+ MASTERS 101
Coefficient of friction=0.1
Small sliding
Segment-to-Segment
algorithm
Bilinear Coulomb friction
-1: Position Control
Y Position of -200 mm
S-to-S with Small sliding [finite sliding] :
SEGSMALL [SEGLARGE]
Regular 3D contact (Node to surface) : NODESURF
Ch4. SOL 400을 이용한 Rubber Seal 접촉해석 - Solution Details
Large-strain solid elementsIncompressible Solid,
Linear
Ch4 SOL 400을이용한 R bb S l 접촉해석
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Results :
Contact Status in Segment-to-Segment Case
Displacement in Node-to-Segment case
PENETRATION
Displacement in Segment-to-Segment case
Contact Status in Node-to-Segment Case
Ch4. SOL 400을 이용한 Rubber Seal 접촉해석 ( Contact Result )
Ch4 SOL 400을이용한 R bb S l 접촉해석
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Contact Status in Node-to-Segment case
[SOL400 - NODE TO SEGMENT]
Contact Status in Segment-to-Segment case
Contact Status in Node-to-Segment case
[MARC - NODE TO SEGMENT]
Contact Status in Segment-to-Segment case
[MARC - SMALL SLIDING]
PENETRATION
PENETRATION
[SOL400 - SMALL SLIDING]
Ch4. SOL 400을 이용한 Rubber Seal 접촉해석 -( Results ( SOL400 & MARC ))
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5.SOL 400을 이용한 Springback 해석
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원통형 Rigid Body의 EnforcedMotion으로 인한 Forming단계에서
금속 구조물의 영구변형 발생.
- Step 1 : at forming
원통형 Rigid Body제거 후 금속 구조
물의 Spring back해석.
- Step 2 : at the end of forming
준 정적해석(SOL400),가공 경화
탄소성 재료.
Contact Features에 따른 비교.
i) Velocity with releaseii) Load
iii) Load with release.
Ch.5 SOL 400을 이용한 Springback 해석
36
Fig. FE Model
Constraint : x
Metal
Cylinder
Constraint : y
- Enforced motion: 0.1125 inch
Parts Contact Material Property Remarks
Metal Deformable
E = 10.6e6 psi
Nu = 0.33
Yield Stress
= 4.29e10 psi
- 2D Plane
Strain
- Friction
Coefficient =
0.2
Cylinder Rigid -
Ch 5 SOL 400 Springback
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Ch.5 SOL 400을 이용한 Springback 해석
- Solution Details
37
i) Velocity controlled rigid body- BCMOVE ii) Load controlled rigid body- without BCMOVE iii) Load controlled rigid body- BCMOVE
Contact Features
Control
: 0 for velocity
Contact Body
Release
Control Node
: 239
Contact Body
Release
Enforced Motion
: 0.1125 in
Control
: Positive number
for load
Ch 5 SOL 400 S i b k
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Deformation: 0.228 in
at Forming
Deformation: 0.182 in
at the End of Forming
38
Ch.5 SOL 400을 이용한 Springback 해석
( Results ( SOL400 & MARC))
Point A
Comparison of Marc
The Results of each Contact Feature
The Same Results
of MSC Marc.
Contact Features Deformation atForming
Deformation at
the End of
Forming
Solving Time
Velocity with
release0.228 in 0.182 in 8.619 sec
Load 0.228 in 0.182 in 11.016 sec
Load with
release0.228 in 0.182 in 10.994 sec
Point A
At Forming
At the End of Forming
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6.SOL 400을 이용한 Circuit Board
열응력 해석
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한번의 수행으로 열 / 응력 연계 해석. 비선형 열 / 응력 해석.
SOL400(Chain Analysis)과
SOL 153/101 해석의 결과 비교.
40
Fig. 1.2 Geometry of Circuit Board
Case
Fig. 1.1 Circuit Board
Paste
Leads
Chip3.80 X 3.80
0.7t
Ch.6 SOL 400을 이용한 Circuit Board 열응력 해석
C 6 SO 400 C
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대류와 복사 고려 Element type : HEX8
41
Heat Convection (top)
: 4.05e-5 W/(mm^2C)
Heat Convection (bottom)
: 2.026e-5 W/(mm^2C)
Heat Convection
(side)
: 7.00e-5 W/(mm^2C)
AmbientTemperature
: 70 CRadiation (top)
- Ambient Temperature : 40C
- Emissivity : 0.8
- View Factor : 1.0
Heat Flux: 0.025 W/(mm^2C)
Constraint
: Fixed
Material
Young’s
Modulus
[ N/mm^2 ]
Thermal
Conductivity
[ kW/(mm/C ]
Thermal
Expansion
[ 1/C ]
Stefan-
Boltzmann
[ W/(mm^2K) ]
Lead
Frame6.9e4 0.14700 1.0e-6
1.7140e-9Chip 5.52e4 0.16800 1.0e-5
Case 4.5e4 0.07140 1.0e-6
Paste 2.0e3 0.02016 1.0e-5
Ch.6 SOL 400을 이용한 Circuit Board 열응력 해석
Ch 6 SOL 400 Ci it B d
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42
Solution Type
STEP SOL Name Description
1 HSTAT Steady State Heat Transfer
2 NLSTAT Nonlinear Static
SOL Description
153 Steady State Heat Transfer
101 Linear Static
SOL400 – Chain Analysis
SOL153 & SOL101
STEP 1
: Heat Transfer
STEP 2
: Nonlinear Static
Temperature Load
Ch.6 SOL 400을 이용한 Circuit Board 열응력 해석
Ch 6 Thermal Stress Analysis
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Temperature: 87.8 C
Displacement: 0.00294 mm
Stress – Von Mises: 89.1 MPa
Ch.6 Thermal Stress Analysis
of an Integrated Circuit Board - Result
• The Same Results of Sol400 & Sol153/101 !
Solution Type Temperature DisplacementStress
: Von MisesSolving Time
SOL400 87.8 C 0.00294 mm 89.1 MPa 9.931 sec
SOL153 87.8 C - - 1.711 sec
SOL101 - 0.00294 mm 89.1 MPa 5.957 sec