Git Sysml Part 1 Cae Models

8/4/2019 Git Sysml Part 1 Cae Models

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GIT SysML Work UpdatePart 0: Overview

Part 1: Representing Executable Physics-based CAE Models in SysML

[email protected]

[email protected]

[email protected]

GIT Product & System Lifecycle Management (PSLM) Center

www.pslm.gatech.edu

Presentation to

OMG Systems EngineeringDomain-Specific Interest Group (SE DSIG)

December 6, 2005

Burlingame, CaliforniaCopyright 1992-2005 by Georgia Tech Research Corporation, Atlanta, Georgia 30332-0415 USA. All Rights Reserved.

Permission to re roduce and distribute without chan es for non-commercial ur oses includin internal cor orate usa e is hereby ranted rovided this notice and a ro er citation are included.

v. 2005-12-28


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Acknowledgements

Sponsors: NASA, NIST

http://eislab.gatech.edu/projects/

GIT Team: Manas Bajaj, Injoong Kim, Raphael Kobi, Chris Paredis,

Russell Peak, Diego Tamburini, Miyako Wilson

Other Collaborators:

Roger Burkhart (Deere), Alan Moore et al. (Artisan),Sandy Friedenthal (LMCO)


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Resources

GIT SysML resources Main web

http://www.pslm.gatech.edu/topics/sysml/

Presentations http://www.marc.gatech.edu/events/pde2005/presentations/

See Presentations 1.1 and 1.2 (includes webcast video archive) http://eislab.gatech.edu/pubs/seminars-etc/2005-09-omg-se-dsig-peak/

http://eislab.gatech.edu/pubs/seminars-etc/2005-12-omg-se-dsig-peak/

See also videos showing SysML-driven CAE execution (via COB interfaces)

http://eislab.gatech.edu/tmp/sysml/2005-12-06-burlingame/

Related GIT techniques Composable objects

http://eislab.gatech.edu/projects/nasa-ngcobs/

Multi-representation architecture (MRA)for simulation templates and CAD-CAE interoperability http://eislab.gatech.edu/research/dai/


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Part 0: Overview

Presentation purpose = overview recent progress: Validation: executability of SysML parametrics

Usage for SysML-driven CAE execution (math and FEA solvers)

Usage for knowledge capture & usage:relations and intent in design & analysis

Development: further examples

Part 1: Representing Executable Physics-based

CAE Models in SysML (Peak, Tamburini, et al.) See below

Part 2: SysML-based Reference Models forFluid Power Components (Paredis, et al.)

See GIT_SysML_Part_2_Fluid_Pwr_Ref_Models.ppt


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SysML-based Examples by GIT

Test Cases

Introductory tutorials (A)

Triangle

Spring systems

Simulation templatetutorials (A, B)

Simulation building blocks

Mechanical CAD & CAE: flap link

Space systems: FireSat satellite

Fluid power & system dynamics (C) -- see Part 2

Electrical/mechanical CAD & CAE

Model train (for Mechatronics pilot)

Racing bike

Tool Interfaces

A. Math solvers:1. Mathematica

B. Finite element analysis

(FEA) solvers:1. Ansys

C. Dynamics solvers:1. Modelica/Dymola

= Primary Updates since 9/2005 OMG Meeting

Note: The SysML notation used in these slides roughly corresponds to SysML draft v0.9 plus more recent updates (approximately R. Burkhart blocks inputs as contained

in SysML spec v0.98 by SST) and experimental variations. We intend to update these examples with the final official notation when v1.0 that becomes available.


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Status of Our SysML Examples - p.1/22005-12-06

1. About the SysML notation used in these slides1. It roughly corresponds to a ~9/2005 form of the blocks-based

parametrics & structure approach developed by R. Burkhart et al.

1. This approach was updated & provided to both SysML teams 11/2005

2. The SST SysML v0.98 draft spec adopted this approach, whereasthe SP SysML v1.0a draft spec adopted a collaborations-based approach

2. We recently received a SysML tool that corresponds to the v.0.98 spec.We hope to update these examples and solver interfaces accordingly

in the near future.2. SST SysML v0.98 vs. our current examples:

1. Block properties should be shown as small boxes flush with block boundaries vs. our currentoverlapping style

2. Bindings between regular blocks and constraint blocks should show their role names (as bindingidentifiers) vs. our current elision

3. Instances should be underlined vs. our current underlining omission

(see also note below about instance causality)

3. Other notes1. We hope to include the following notation in future versions (they are not required by the

current specs, but we believe they will enhance parametric diagram usefulness):

1. Include symbols and subscripts for properties per traditional engineering notation

1. E.g., spring constant in spring 1: k1

2. Include relation expressions in constraint blocks in terms of their bound properties

(continued next page)


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Status of Our SysML Examples - p.2/23. Other notes (continued)

1. In these examples we tested the following notation or practices on an experimental basisto see if they might be useful:

1. We distinguished parametric diagrams used for defininga block (par-d) vs. those used to capture instances(par-i) of that block. Similar suffixes may be useful for definitional vs. instance use of all SysML diagrams.

2. We have a library of constraint blocks representing specific commonly used expressions (e.g., a=b+c,a**2=b**2+c**2, etc.) that can be utilized in composing other blocks. To represent specialized relations, wetried defining a generic algebraic constraint block in this library, which can be redefined wherever it is used.In future versions we will likely replace this generic algebraic relation with relations defined in the context of

the blocks that use them.3. We implemented equality relations as usages of an explicit a=b constraint block. We will likely replace such

cases with binding relations in the future.

4. We used a black dot graphical symbol to denote true junctions where equality relations intersect (e.g., as ashorthand for a set of relations like a=b, a=c, a=d, and a=e). This approach is similar to that used withelectrical schematics and a Manhattan routing style. It enables cleaner and more compact diagram layout.

5. We depict instance-level causality in the Triangular Prism example using a double-lined box to indicate theprimary desired result (and red italics to indicate other ancillary results).

2. We did the following to enable our constraint manager, XaiTools, to process SysML parametrics(which provides subsequent solver execution using COTS math and FEA tools):

1. Added stereotypes to denote composable object (COBs) constructs: git-schema, git-use-from, etc.

2. Added stereotypes to denote the patterns defined in our multi-representation architecture (MRA) approachfor CAD-CAE interoperability: apm, cbam, abb, smm

3. Handled reference properties (e.g., flap link material) via ad-hoc associations (this is due to a limitation inXaiToolswe hope to resolve in the near future).


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Contents - Part 1

PurposeCAD-CAE simulation template background

MCAD-MCAE benchmark example: flap link

Modularity & reusability

Executable SysML parametrics (math, FEA)

Summary

Recommended prerequisites

Triangle tutorial

Spring systems tutorial

Multi-representation architecture (MRA)for simulation templates and CAD-CAE interoperability


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GIT SysML Involvement - Overall Purpose

Collaborate within SE DSIG:composable object (COB) conceptsSysML

(esp. SysML parametrics)

Leverage COB-based simulation template workto demonstrate and verify SysML capabilities

CAD-CAE interoperability

Systems-of-systems (SoS) knowledge representations

...

For further background and GIT SysML work-to-date:- See SE DSIG minutes/archives - Atlanta - 9/2005 - http://syseng.omg.org/

- http://www.pslm.gatech.edu/topics/sysml/


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Contents - Part 1


Leveraging test cases from existing work

See http://eislab.gatech.edu/research/dai/


Summary

Recommended prerequisites (backup slides)

Triangle tutorial


Multi-representation architecture (MRA)

for simulation templates and CAD-CAE interoperability


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11


Test Cases


Triangle

Spring systems








Racing bike

Tool Interfaces


B. Finite element analysis(FEA) solvers:

1. Ansys


See slide entitled Status of Our SysML Examples regarding spec version used in these examples, and so on.


12/8812Engineering Information Systems Lab eislab.gatech.edu 1993-2005 GTRC

Triangle

dh

Ab

Triangle

dh

Ab

COB Structure: Graphical FormsTutorial: Right Triangle

Basic Constraint Schematic-S Notation

c. Constraint Schematic-Sa. Shape Schematic-S

222

2

1

:

21:

hbdr

bhAr

b. Relations-S

d. Subsystem-S(for reuse by other COBs)

h

b

Ad

base, br1

r2

bhA2

1

height, h

222hbd

area,A

diagonal, d

Aside: This is a usage view in AP210 terminology(vs. the above design views)

s

a b

dc

a

b

d

c

e

r1

[1.2]

[1.1]

f gcbe

r2

h

wL [ j:1,n]

wj

s

a b

dc

a

b

d

c

e

r1

[1.2]

[1.1]

f gcbe

r2

h

wL [ j:1,n]

wj

variable a subvariable a.d

subsystem s

of cob type h

equality relation

e = f

relation r1(a,b,s.c)

subvariable s.b

option 1.1:

f = s.d

option 1.2:

f = g

option category 1

aggregate c.w

element wj

variable a subvariable a.d

subsystem s

of cob type h

equality relation

e = f

relation r1(a,b,s.c)

subvariable s.b

option 1.1:

f = s.d

option 1.2:

f = g

option category 1

aggregate c.w

element wj

COB = composable object

ClassicalCOBNotationPeak1993Tamburini1999Wilson2000



COB Structure (cont.): Lexical FormTutorial: Right Triangle

for reference: c. Constraint Schematic-S

e. Lexical COB Structure (COS)COBtriangle SUBTYPE_OF geometric_shape;

base, b : REAL;

height, h : REAL;

diagonal, d : REAL;

area, A : REAL;

RELATIONS

r1 : " == 0.5 * * ";

r2 : "**2 == **2 + **2";END_COB;

base, br1

r2

bhA2

1

height, h

222 hbd

area,A

diagonal, d




Right Triangle Implemented

using SysML Blocks and Parametrics

SysML Parametric Diagram

Note: The outmost block should be depicted as a frame (of type par),

as in conformant flap_link examples elsewhere in this presentation.



TriangularPrism

Vh

b

l

COBs as Building BlocksTutorial: Triangular Prism COB Structure

c. Constraint Schematic-Sa. Shape Schematic-S

b. Relations-S

d. Subsystem-S(for reuse by other COBs)

Triangle

dh

Ab

Triangle

dh

Ab

length, l volume, Vr1AlV

cross-section

AlVr :1

e. Lexical COB Structure (COS)

COBtriangular_prism SUBTYPE_OF geometric_shape;

length, l : REAL;cross-section : triangle;

volume, V : REAL;

RELATIONS

r1 : " == * ";

END_COB;

h

b

V l

A




Triangular Prism Implemented

using SysML Blocks and Parametrics

SysML Parametric Diagram





3 in22 in

3 in

base, br1

r2

bhA2

1

height, h

222hbd

area,A

diagonal, d3.60 in

Example COB InstanceTutorial: Right Triangle

Constraint Schematic-I Lexical COB Instance (COI)

state 1.0 (unsolved):

INSTANCE_OF triangle;

base : 2.0;

height : 3.0;

area : ?;

diagonal : ?;

END_INSTANCE;

state 1.1 (solved):


base : 2.0;

height : 3.0;

area : 3.0;

diagonal : 3.60;

END_INSTANCE;Basic Constraint Schematic-I Notation

example 1, state 1.1


.

.

.

state 2.1 (solved):


base : 2.0;

height : 9.0;

area : 9.0;

diagonal : 9.22;

END_INSTANCE;

9 in2

2 in

9 in

base, br1

r2

bhA 21

height, h

222 hbd

area,A

diagonal, d9.22 in

200 lbs

30e6 psiResult b = 30e6 psi

(output or intermediate variable)

Result c = 200 lbs

(output of primary interest)

X

Relation r1 is suspended

X r1

100 lbs Input a = 100 lbs

Equality relation is suspended

a

b

c




Multi-Directional I/OTutorial: Right Triangle


state 2.1 (solved):


base : 2.0;

height : 9.0;

area : 9.0;

diagonal : 9.22;

END_INSTANCE;



base : 2.0;

height : ?;

area : 6.0;

diagonal : ?;END_INSTANCE;

state 3.1 (solved):


base : 2.0;

height : 6.0;

area : 6.0;

diagonal : 6.32;

END_INSTANCE;

6 in22 in

6 in

base, br1

r2

bhA2

1

height, h

222

hbd

area,A

diagonal, d6.32 in


9 in22 in

9 in

base, br1

r2

bhA2

1

height, h

222hbd

area,A

diagonal, d9.22 in


Concepts illustrated:- Non-causal COB structure (no predefined I/O direction)- Causality of COB instances and states




Example COB InstanceTutorial: Triangular Prism - State 1.1 (Solved) in XaiTools



Example COB InstanceTutorial: Triangular Prism



INSTANCE_OF triangular_prism;

cross-section.base : 2.0;

cross-section.height : 3.0;

length : 5.0;

volume : ?;

END_INSTANCE;

state 1.1 (solved):

INSTANCE_OF triangular_prism;cross-section.base : 2.0;

cross-section.height : 3.0;

cross-section.area : 3.0;

length : 5.0;

volume : 15.0;

END_INSTANCE;

example 1, state 1.1 (solved)

Triangle

dh

Ab

Triangle

dh

Ab

length, l volume, Vr1

AlV

cross-section

3 in22 in

3 in

15 in35 in

ClassicalCOBNotationPeak

1993Tamburini1999Wilson2000

= 15

= 3

state 1.0 (unsolved) state 1.1 (solved)SysML Parametric Diagram-I

Note: The current prototype exports instances with input values for solving. The model is then executed successfully in external solvers. However, the prototype interface

for importing resulting solutions is not ready yet; thus, the solved state depicted here inside the SysML tool is an envisioned notation.



Composable Objects (COBs)

COB Services (constraint graph manager, including COTS solver access)

XaiTools

Ansys(FEA Solver)

Native Tools Models

Traditional

COTS or in-housesolvers

SysML-based COB Authoring

COB export

COB Solving & Browsing

COB API

SysML-COB Architecture - Prototype v0.1as of 2005-12-06

...

ExchangeFile

XaiToolsArtisan Studio

Mathematica(Math Solver)



Engineering Web Services

Client PCs

XaiTools

Rich Client

Internet

Apache Tomcat

Mathematica

Ansys, Patran,Abaqus, ...

Inte

rnet/Intranet

XaiTools Ansys

Solver ServerXaiTools Ansys

Solver ServerXaiTools Math.

Solver Server

Servlet container

XaiTools Solver

Server

FEA Solvers

Math Solvers

Soap Servers

SO

AP

.

.

.

Engineering Service BureauHost Machines

WebServer

HTTP/XMLWrapped Data

Status:In prototype & production usage since 1999 (CORBA), 2002 (SOAP),including remote access from AZ, DC, WV, UK, Japan,




COB Services (constraint graph manager, including COTS solver access)

XaiTools

Ansys(FEA Solver)

Native Tools Models

Traditional

COTS or in-housesolvers

Mathematica(Math Solver)

SysML-based COB Authoring

COB in/out

COB Solving & Browsing

COB API

SysML-COB Architecture - Prototype v0.2Anticipated 2006-1Q

...

ExchangeFile

XaiToolsArtisan Studio




COB Services (graph mgt, conf. control, meta-solving, persistence, tool access, UI,)

COB Management System

(CMS)

Tool Tool

Tool

Native Tools Models

TraditionalCOTS and in-house

end-user tools(authoring, viewing,

solving,..)

Tool

Standards-basedtool wrappers

COB-Enabled End-User Applications

COB SDKUI Components

SysMLUI Control

COB API

COTS SysML Tools

COB API

COBTree

Other COB Apps.Domain-specificSimulation tools

COB API

CMS Management Client Tools

COB Authoring

COB API

COB ConfigurationManagement

COB API

COB Browsing

COB API

Envisioned SysML-COB Architecturehttp://eislab.gatech.edu/projects/nasa-ngcobs/ - 2005-10


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Contents - Part 1


Leveraging test cases from existing & new work



Summary

Recommended prerequisites (see backup slides)

Triangle tutorial




X Analysis Integration Techniques



1 Solution Method Model

ABB SMM

2 Analysis Building Block

4 Context-Based Analysis Model3

SMMABB

APM ABB

CBAM

APM

Design Tools Solution Tools

Printed Wiring Assembly (PWA)

Solder Joint

Component

PWB

Solder Joint

Component

PWB

body3

body2

body1

body4

T0

body3

body2

body1

body4

T0

Printed Wiring Board (PWB)

SolderJoint Component



AnalyzableProduct Model

i

X-Analysis Integration Techniquesfor CAD-CAE Interoperability

http://eislab.gatech.edu/research/

a. Multi-Representation Architecture (MRA) b. Explicit Design-Analysis Associativity

c. Analysis Module Creation Methodology

ProductModel Selected Module

Analysis Module Catalogs

MCAD

ECAD

Analysis Procedures

CommercialAnalysis Tools

Ansys

Abaqus

Solder Joint Deformation Model

Idealization/Defeaturization

CommercialDesign Tools

PWB

Solder Joint

Component

APM CBAM ABB SMM

Ubiquitous Analysis(Module Usage)

Ubiquitization(Module Creation)

CAE

Physical Behavior Research,Know-How, Design Handbooks, ...

Informal Associativity Diagram

Constrained Object-based Analysis ModuleConstraint Schematic View

Plane Strain Bodies System

PWA Component Occurrence

CL

1

m at er ia l ,E( , )geometry

body

plane strain body , i = 1...4PWB

SolderJoint

Epoxy

Componentbase: Alumina

core: FR4

Solder Joint Plane Strain Model

total height, h

linear-elastic model

APMABB

3 APM 4 CBAM

2 ABBc

4body

3body

2body

1h

oT

primary structuralmaterial

ii

i

1 SMM

Design Model Analysis Model

ABB SMM

soldersolder joint

pwb

component

1.25

deformation model

total height

detailed shape

rectangle

[1.2]

[1.1]

average

[2.2]

[2.1]

cTc

Ts

inter-solder joint distanceapproximate maximum

sj

L s

primary structural material

total thickness


Plane Strain

geometry model 3

a

stress-strainmodel 1



Bodies System

xy, extreme, 3

T2

L1

T1

T0

L2

h1

h2

T3Tsj

hs

hc

L c

xy, extreme, sjbilinear-elastoplastic model


primary structural material linear-elastic model

component

occurrence

solder jointshear strainrange

[1.2]

[1.1]length 2 +

3 APM 2 ABB 4 CBAM

Fine-Grained Associativity

Composable



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Fitting Analysis Template Applied to Bike Frame BulkheadCOB-based CBAM constraint schematic - instance view

0.4375 in

0.5240 in

0.0000 in

2.440 in

1.267 in

0.307 in

0.5 in

0.310 in

2.088 in

1.770 in

67000 psi

65000 psi

57000 psi

52000 psi

39000 psi

0.067 in/in

0.030 in/in

5960 Ibs

1

10000000 psi

9.17

5.11

9.77

bulkhead fitting attach point

LE7K18

2G7T12U (Detent 0, Fairing Condition 1)

L29 -300

Outboard TE Flap, Support No 2;Inboard Beam, 123L4567

Bulkhead Fitting Joint

Program

Part

Feature

Channel FittingStatic Strength Analysis

Template

1 of 1Dataset

strength model

r1

e

b

h

tb

te

Pu

Ftu

E

r2

r0

a

FtuLT

Fty

FtyLT

epuLT

tw

MSwall

epu

jm

MSepb

MSeps

Channel FittingStatic Strength Analysis

Fsu

IAS FunctionRef DM 6-81766

end pad

base

material

wall

analysis context

mode: (ultimate static strength)

condition:

heuristic: overall fitting factor,Jm

bolt

fitting

head radius, r1hole radius, ro

width, b

eccentricity, e

thickness, te

height, h

radius, r2

thickness, tb

hole

thickness, tw

angled height, a

max allowable ultimate stress,

allowable ultimate long transverse stress,

max allowable yield stress,

max allowable long transverse stress,

max allowable shear stress,

plastic ultimate strain,

plastic ultimate strain long transverse,

young modulus of elasticity,

load, Pu

Ftu

Fty

FtyLTFsu

epu

epuLT

E

FtuLT

product structure

(channel fitting joint)

e

se

tr

Pf

02p

21

e

be

ht

PCf

),,(13 hbrfK

18 associativity relations





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29

diagonal brace lug jointj = top

0.7500 in

0.35 in

0.7500 in

1.6000 in

2

0.7433

14.686 K

2.40

4.317 K

8.633 K

k = norm

Max. torque brake setting

detent 30, 2=3.5

7050-T7452, MS 7-214

67 Ksi

L29 -300

Outboard TE Flap, Support No 2;Inboard Beam, 123L4567

Diagonal Brace Lug Joint

Program

Part

Feature

Lug JointAxial Ultimate Strength Model

Template

j = top lugk = normal diameter (1 of 4)

Dataset

material

deformation model

max allowable ultimate stress, FtuL

effective width, W

analysis context

objective

mode (ultimate static strength)

condition

estimated axial ultimate strength

Margin of Safety(> case)

allowable

actual

MS

normal diameter, Dnorm

thickness, t

edge margin, e

Plug joint

size,n

lugs

lugj hole

diameters

product structure (lug joint)

r1

n

P jointlug

L [ j:1,n ]

Plug

L [ k]Dk

oversize diameter, DoverD

PaxuW

e

t

Ftuax

Kaxu

Lug Axial UltimateStrength Model

DM 6630

Lug Template Applied to an Airframe Analysis ProblemCOB-based CBAM constraint schematic - instance view

Solution Tool

Interaction

Boundary Condition Objects

(links to other analyses)

CAD-CAE Associativity(idealization usage)

Material Models

Model-based Documentation

Geometry

P KW

DDtFaxu axu tuax ( )1

Requirements

Legend:Annotations highlight model knowledge capture capabilities. Other notation is COB constraint schematics notation.

R

c

b

= f( c , b , R )W = f( R , D , )

axial direction

e

D




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Generalized MRA Patterns for Systems-of-Systems (SoS) M&STraditional Patterns

(for CAD-CAE)Traditional CAD-CAE Purpose

regarding Design-Analysis Integration (DAI)Generalized Patterns

(for complex systems-of-systems)

design tools

(CAD)

- Define systems (parts, assemblies, ) in necessary &

sufficient descriptive terms (not behavioral)

- Usually are COTS tools

system description tools

analyzable product models(APMs) - Represent design aspects of products and enable connectionswith design tools

- Support idealizations usable in numerous analysis models

- Have possibly many associated CBAMs that verify

requirements

augmented descriptive model

(federated descriptive model +

idealizations and other relations)

context-based

analysis models

(CBAMs)

- Contain linkages explicitly representing design-analysis

associativity, indicating usage of APM idealizations

- Create analysis models from ABBs and automatically connect

them to APM attributes

- Represent common analysis models as automated, predefinedtemplates

- Support interaction of analysis models of varying complexity

and solution method

- Enable parametric design studies via multi-directional

input/output (in some cases)

context-based

simulation model

(system-specific

simulation model)

analysis building blocks

(ABBs)

(generic analytical concepts)

- Represent analytical concepts as composable objects

- Act as semantically rich 'pre-preprocessor' & 'post-

postprocessor' models.

- ABB instances create SMM instances based on solutionmethod considerations and receive results after automated

solution tool execution

simulation building block

(generic analytical concepts)

solution method models

(SMMs)

- Packages solution tool inputs, outputs, and control as

integrated objects (often as a componentized wrapping of

solution tool native files)

- Automates solution tool access and results retrieval via tool

agents and wrappers

simulation method model

solution tools

(CAE)

- Execute simulation models (often as vendor-specific native

files)- Usually are COTS tools

simulation tool

(solver)

version: 2005-12-06


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Diversity Demonstrated in Test Cases[based on Peak and Wilson et al. 2001]

Test Case Analysis Templates

TargetCharacteristics

Flap LinkCBAMs

PWA/BCBAMs

AerospaceCBAMs

Electrical ChipPackage CBAMs

Diversity Dimensions

Product Domain airframe printed circuit board (PWA/B) airframe chip package

CAD Tools CATIA (MCAD)Mentor Graphics (ECAD)

XaiTools PWA/BCATIA (MCAD)

XaiToolsChip Package (XCP)

Discipline structural thermo-mechanical structural thermal

Behaviordeformation(extension)

deformation(torsion)

deformation(warpage)

lug & fittingultimate shear,bending shear

temperature

Fidelityextensional rod

(1D, linear)plane stress body

(2D, linear)torsional rod(1D, linear)

thermal bending(1D, linear)

plane strain body(2D, linear)

1.5Dthermal body(3D, linear)

Solution Method(and Tools)

formula-based(Mathematica)

FEA (Ansys,Patran, Abaqus),formula-based(Mathematica)



FEA(Ansys, Cadas),formula-based(Mathematica)


FEA (Ansys),formula-based(Mathematica);

custom cob-basedmesh algorithm

Directionality multioneway

(partially multi)multi multi

oneway(partially multi)



COB Usage Characteristics

Product DesignInfo Usage

detailed design(COI via CATIA interface)

detailed design(STEP AP210 -Part 21

via Mentor Graphics interface)

detailed design(COI via

CATIA interface)

preliminary design(COI via

XCP design tool)

Automation fully automated fully automated fully automated fully automated

[after Wilson, 2000] Patran and Abaqus links are work-in-progres


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Test Case Statistics: Overall

Test Cases COB Libraries Used # of Entities, Attributes, Relations

Total

Aggregate

Total

Oneway

AggregateOperation

AggregateInstance

4 11 3

108 68 30

lib\geometry.cos 12 34 22

3 9 1

lib\apm.coslib\materials.cos

lib\abbs.cos

apm.cos

lib\abbs.cos

apm.cos

abbs.cos lib\apm.cos 24 39 12 3

lib\geometry.cos

lib\apm.cos

airplane\lib\abbs.cos

fastener.cos 3 7

materials.cos 1 38

lib\geometry.coslib\apm.cos

airplane\lib\materials.cos

airplane\lib\fastener.cos

airplane\lib\cbams.cos

airplane\bikeframe\apm.cos

lib pwb_board.cos 13 21 2 5

lib\geometry.cos

cp\lib\pwb_board.cos

lib\abbs.cos

cp\bga\apm.cos

lib\geometry.cos

cp\lib\pwb_board.cos

lib\abbs.cos

cp\qft\apm.cos344 753 25 376 8 12 59

151 12 4 19

76 1

15

218

1 19412

25

53 177 6 103 3 22

2 20

4 23 20

2 7 16

1 11

el

ectricalchippackage(c

Totals

productspecific

airplane

apm.cos

cbams.cos

apm.cos

apm.cos

cbams.cos

cbams.cos

bga (ball grid array)

qfp(quad flat pack)

apm.cos

bikeframe cbams.cos

cbams.cos

flaplink

cbams.cos

apm.cos

lib

77

5 25 36

19152 8 9

53

Relations

5 21 23

10

2

COB Libraries Used Entities

Attributes

pwa/b

Structure (COS)

geometry.cos

abbs.cos

apm.cos

materials.cosgeneral(lib)


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Test Case Statistics: Flap Link and Associated Building Blocks

Supports reusability

Supports complexity

Total

Aggregate

Total

Oneway

AggregateOperation

AggregateInstance

4 11 3

lib\geometry.cos 108 68 30

12 34 22

3 9 1

lib\apm.cos

lib\materials.cos

lib\abbs.cos

apm.cos

.. .. .. .. .. .. .. .. ..

344 753 25 376 8 12 59

Attributes

productspecific

Structure (COS) Entities

COB Libraries Used

10

36 2

Relations

flaplink

11apm.cos 1

cbams.cos 5 25

general(lib)

materials.cos

Totals

abbs.cos

apm.cos

geometry.cos


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Example COB Reuse as Modular Simulation Building Blocks

Structure (COS) Where used

1D Linear Elastic Model (ABB) Extensional Rod ABB

Torsional Rod ABB

Margin of Safety ABB 1D Linkage Extensional Flaplink CBAM for stress

1D Torsional Extensional Flaplink CBAM for stress

1D Torsional Extensional Flaplink CBAM for twist

2D Plane Stress flaplink CBAM for stress

2D linkage extensional flaplink CBAM for deformation

1D PWB Thermal Bending for warpage2D PWBThermal Bending for warpage

1.5D Lug CBAM for stress

Flaplink APM Linkage Extensional CBAM

Linkage Plane Stress CBAM

Linkage Torsional CBAM

BikeFrame APM Lug Axial/Oblique; Ultimate/Shear CBAM

Fitting Bending/Shear CBAM

PWA/B APM Thermal Bending CBAM6 Layer Plain Strain CBAM

N Layer Plain Strain CBAM

EBGA ChipPackage APM EBGA Thermal Resistance CBAM

PBGA ChipPackage APM PBGA Thermal Resistance CBAM

Thermal Stress CBAM

QFP ChipPackage APM Thermal Resistance CBMA


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Copyright 200535

Contents - Part 1


Leveraging test cases from existing work



Summary

Recommended prerequisites (backup slides)

Triangle tutorial





36/88

Copyright 200536


Test Cases


Triangle

Spring systems








Racing bike

Tool Interfaces


B. Finite element analysis(FEA) solvers:

1. Ansys




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37

Flap Link Mechanical PartA simple design ... a benchmark problem.

ts1

B

sleeve1

B ts2

ds2

ds1

sleeve2

L

shaft

Leff

s

rib1 rib2

red = idealized parameter

Background

This simple part provides the basis for a benchmark tutorial for CAD-CAE interoperability andsimulation template knowledge representation. This example exercises multiple capabilities relevant tosuch contexts (many of which are relevant to broader simulation and knowledge representationdomains), including:

Diversity in design information source, behavior, fidelity, solution method, solution tool, ... Modular, reusable simulation building blocks and fine-grained inter-model associativity

See the following for further information (including papers overviewing this example):http://eislab.gatech.edu/research/dai/(begin with [Wilson et al. 2001] under Suggested Starting Points)
http://eislab.gatech.edu/research/dai/http://eislab.gatech.edu/research/dai/


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Flap Linkage ExampleManufacturable Product Model (MPM) = Design Description

Product Attribute

Ri Product Relation

ts1

A

Sleeve 1

A ts2

ds2

ds1

Sleeve 2

L

Shaft

b

h

t

b

h

t

sleeve_2

shaft

rib_1

material

flap_link

sleeve_1

rib_2

w

t

r

x

name

R3

R2

t2f

wf

tw

t1f

cross_section

w

t

r

x

R1

COB flap_link SUBTYPE_OF part;part_number : STRING;inter_axis_length, L : REAL;sleeve1 : sleeve;sleeve2 : sleeve;shaft : tapered_beam;rib1 : rib;

rib2 : rib;RELATIONSPRODUCT_RELATIONS

pr2 : " == -";

pr3 : " == ( -)/2";

pr4 : " == ( -)/2";

...END_COB;

Extended Constraint Graph

COB Structure (COS)




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40

ts1

A

Sleeve 1

A ts

2

ds2

ds1

Sleeve 2

L

Shaft

Leff

s

Flap Linkage ExampleAnalyzable Product Model (APM) = MPM Subset + Idealizations

flap_link

critical_section

critical_simple

t2f

wf

tw

hw

t1f

area

effective_length

critical_detailed

stress_strain_model linear_elastic

E

cte area

wf

tw

hw

tf

sleeve_1

b

h

t

b

h

t

sleeve_2

shaft

rib_1

material

rib_2

w

t

r

x

name

t2f

wf

tw

t1f

cross_section

w

t

r

x

R3

R2

R1

R8

R9

R10

6R

R7

R12

11R

1R

2

3

4

5

R

R

R

R

Product Attribute

Idealized Attribute

Ri Idealization Relation

Ri Product Relation


Partial COB Structure (COS)

effective_length, Leff ==

inter_axis_length -

(sleeve1.hole.cross_section.radius +

sleeve2.hole.cross_section.radius)



Flap Link APM


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41



Design Model

Idealized Model

Design-Idealization

Relation

flap_linkflap_link

critical_section

critical_simple

t2f

wf

tw

hw

t1f

area

effective_length

critical_detailed


E

cte area

wf

tw

hw

tf

critical_section

critical_simple

t2f

wf

tw

hw

t1f

area

effective_length

critical_detailed


E

cte area

wf

tw

hw

tf

sleeve_1

b

h

t

b

h

t

sleeve_2

shaft

rib_1

material

rib_2

w

t

r

x

name

t2f

wf

tw

t1f

cross_section

w

t

r

x

sleeve_1

b

h

t

b

h

t

sleeve_2

shaft

rib_1

material

rib_2

w

t

r

x

name

t2f

wf

tw

t1f

cross_section

w

t

r

x

R3

R2

R1

R3

R2

R3

R2

R1R1

R8

R9

R10

6R

R7

R12

11R

1R

2

3

4

5

R

R

R

R

R8

R9

R10

R8

R9

R10

6R6R

R7R7

R12R12

11R11R

1R1R

2

3

4

5

R

R

R

R

2

3

4

5

R

R

R

R

2

3

4

5

R

R

R

R

Product Attribute

Idealized Attribute

Ri Idealization Relation

Ri Product Relation

Product AttributeProduct Attribute

Idealized AttributeIdealized Attribute

Ri Idealization RelationRi Idealization Relation

Ri Product RelationRi Product Relation


Flap Link APM

Implementation in CATIA v5

Flap Link APM


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Flap Link APMSysML Block Definition Diagram (bdd) - basic view

flap_link

material

point

part

cross_section

tapered_I_section

filleted_tapered_I_section

basic_I_section

sleeve

tapered_beam

rib

hole

1

1

sleeve1

1

1

sleeve2

1

1

shaft

1

1critical_cross_section

1

1

design

1

1basic

1

1tapered

1

1

origin

1

1

rib1

1

1

rib2

1

1hole1

** git tool caveat:

material link

bdd flap_link bdd - basic view

ts1

B

sleeve1

B ts2

ds2

ds1

sleeve2

L

shaft

s

rib1 rib2

v. 2005-12-19

Note [1]: The term part is used here as a regular block name in the traditional engineering sense of

part-assembly (i.e., it is not used here in the UML/SysML meta-entity context of part/class).

[1]


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43

materials

git-root-cobmaterial

name : STRING

yield_stress : REAL

git-root-cobmaterial

name : STRING

yield_stress : REAL

geometry

point

x : REAL

y : REAL

z : REAL

point

x : REAL

y : REAL

z : REAL

apm

git-root-cobpart

description : STRING

designer : STRING

material : STRING

sleeve

width : REALwall_thickness : REAL

outer_diameter : REAL

inner_diameter : REAL

tapered_beam

length : REAL

taper_angle : REAL

cross_section

tapered_I_section

flange_base_thickness : REAL

flange_taper_thickness : REAL

flange_taper_angle : REAL

web_thickness : REAL

total_height : REAL

flange_width : REAL

area : REAL

web_height : REAL

flange_thickness : REAL


flange_fillet_radius : REAL


total_height : REAL

flange_width : REAL




area : REAL

web_height : REAL


basic_I_section

area : REAL

total_height : REAL



flange_width : REAL

web_height : REAL

hole

height : REAL

volume : REAL

rib

base : REAL

height : REAL

thickness : REAL

git-root-cobpart


designer : STRING

material : STRING

sleeve

width : REALwall_thickness : REAL

outer_diameter : REAL

inner_diameter : REAL

tapered_beam

length : REAL

taper_angle : REAL

cross_section

tapered_I_section





total_height : REAL

flange_width : REAL

area : REAL

web_height : REAL



flange_fillet_radius : REAL


total_height : REAL

flange_width : REAL




area : REAL

web_height : REAL


basic_I_section

area : REAL

total_height : REAL



flange_width : REAL

web_height : REAL

hole

height : REAL

volume : REAL

rib

base : REAL

height : REAL

thickness : REAL

git-root-cobflap_link

part_number : STRING

inter_axis_length : REALallowable_twist : REAL

allowable_twist_factor : REAL

allowable_inter_axis_length_change_factor : REAL

allowable_inter_axis_length_change : REAL

effective_length : REAL


designer : STRING

material : STRING

11

sleeve111

sleeve2

11

shaft

1

1

hole1

1

1

critical_cross_section

1

1

design

1

1

basic

1

1

tapered

1

1

origin

11

rib111

rib2** git tool caveat: material link

bdd flap_link bdd

Flap Link APM: SysML Block Definition Diagram (bdd)Implementing COB Concepts in SysML

v. 2005-12-19



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44

Flap Link APM: SysML Parametric Diagram (par)Implementing COB Concepts in SysML

v. 2005-12-17

Class flap_link

sleeve1 : sleeve

wall_thickness

inner_diameter

outer_diameter

width

hole1 : hole

cross_section : circle

radius

diameterarea

origin : pointy

xz

sleeve2 : sleeve

outer_diameter

inner_diameter

wall_thickness

width

hole1 : hole


radius

diameterarea

origin : pointx

y zpr2 : algebraic

abc

pr3 : algebraic

a

b

c

pr4 : algebraic

a

b

c

pr5 : algebraica

b

pir1 : algebraic

ab

c d

pir2 : algebraic

a

b

pir4 : algebraica

b

c

rib1 : rib

baseheight

thickness

part_number

inter_axis_length

allowable_twist

allowable_twist_factor

allowable_inter_axis_length_change_factor

allowable_inter_axis_length_change

effective_length

description

designer

material

origin : pointyx z

pr1 :algebraic

ab

shaft : tapered_beam

taper_angle

lengthcritical_cross_section : cross_section

design : filleted_tapered_I_section

flange_fillet_radius

flange_base_thickness

flange_taper_thickness

flange_taper_angle flange_width

I_section.flange_thickness

web_thickness

I_section.web_height

total_height

area

rib2 : rib

base height

thickness

pir3 : algebraic

a

b

c

pr6 : algebraica

b

sleeve1 : sleeve

wall_thickness

inner_diameter

outer_diameter

width

hole1 : hole


radius

diameterarea

origin : pointy

xz

wall_thickness

inner_diameter

outer_diameter

width

hole1 : hole


radius

diameterareacross_section : circle

radius

diameterarea

radius

diameterarea

origin : pointy

xz

y

xz

sleeve2 : sleeve

outer_diameter

inner_diameter

wall_thickness

width

hole1 : hole


radius

diameterarea

origin : pointx

y z

outer_diameter

inner_diameter

wall_thickness

width

hole1 : hole


radius

diameterareacross_section : circle

radius

diameterarea

radius

diameterarea

origin : pointx

y zx

y zpr2 : algebraic

abc

abc

pr3 : algebraic

a

b

c a

b

c

pr4 : algebraic

a

b

ca

b

c

pr5 : algebraica

b

a

b

pir1 : algebraic

ab

c d

ab

c d

pir2 : algebraic

a

b

a

b

pir4 : algebraica

b

ca

b

c

rib1 : rib

baseheight

thickness

baseheight

thickness

part_number

inter_axis_length

allowable_twist

allowable_twist_factor

allowable_inter_axis_length_change_factor


effective_length

description

designer

material

origin : pointyx zyx z

pr1 :algebraic

ab ab


taper_angle








web_thickness


total_height

area

taper_angle








web_thickness


total_height

area







web_thickness


total_height

area






web_thickness


total_height

area

rib2 : rib

base height

thickness

base height

thickness

pir3 : algebraic

a

b

ca

b

c

pr6 : algebraica

b

a

b

material

namenamegit-external-ref

par-d

v. 2005-12-19

Class flap_link_XYZ-510

part_number = "XYZ-510"

part_number = "XYZ-510"

par-i


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45

Flap Link APM:SysML Parametric

Diagram - Instance(inputs - unsolved state)sleeve1 : sleeve

wall_thickness

width = 2.0

outer_diameter = 2.0

inner_diameter = 1.0

origin : point

z

y

x

hole1 : hole

origin : point

z

x

y cross_section : circle

radius

area

diameter

sleeve2 : sleeve

wall_thickness

width = 2.50



hole1 : hole

origin : pointy

z

x


radius diameter

area

origin : pointy

z

x

rib1 : rib

thickness

base

heightorigin : point

z

x

y


origin : pointy

z

x

critical_cross_section : cross_section

basic :basic_I_section

design :filleted_tapered_I_section

total_height

flange_thickness

flange_taper_angle = 10.0

web_height

flange_taper_thickness = 0.05

flange_base_thickness = 0.25

flange_width = 1.5

area

web_thickness = 0.25

flange_fillet_radius = 0.13

tapered :tapered_I_section

taper_angle = 3.210243

length

origin : point

x = 0.0

y = 0.0

z = 0.0

p

inter_axis_length = 6.250000

allowable_twist

allowable_twist_factor = 0.001

allowable_inter_axis_length_change_factor = 0.001


effective_length

description = "flap link type 5"

designer = "J. Smith"

material = "steel"

rib2 : rib

thickness

height

base

origin : pointy

x

z

sleeve1 : sleeve

wall_thickness

width = 2.0



origin : point

z

y

x

hole1 : hole

origin : point

z

x


radius

area

diameter

wall_thickness

width = 2.0



origin : point

z

y

x

z

y

x

hole1 : hole

origin : point

z

x


radius

area

diameter

origin : point

z

x

y

z

x


radius

area

diameterradius

area

diameter

sleeve2 : sleeve

wall_thickness

width = 2.50



hole1 : hole

origin : pointy

z

x


radius diameter

area

origin : pointy

z

x

wall_thickness

width = 2.50



hole1 : hole

origin : pointy

z

x


radius diameter

area

origin : pointy

z

x

y

z

x


radius diameter

area

radius diameter

area

origin : pointy

z

x

y

z

x

rib1 : rib

thickness

base


z

x

y

thickness

base


z

x

y

z

x

y


origin : pointy

z

x




total_height

flange_thickness


web_height



flange_width = 1.5

area





length

origin : pointy

z

x

y

z

x




total_height

flange_thickness


web_height



flange_width = 1.5

area






total_height

flange_thickness


web_height



flange_width = 1.5

area


flange_fillet_radius = 0.13total_height

flange_thickness


web_height



flange_width = 1.5

area





length

origin : point

x = 0.0

y = 0.0

z = 0.0

x = 0.0

y = 0.0

z = 0.0

p

inter_axis_length = 6.250000

allowable_twist

allowable_twist_factor = 0.001

allowable_inter_axis_length_change_factor = 0.001


effective_length

description = "flap link type 5"

designer = "J. Smith"

material = "steel"

rib2 : rib

thickness

height

base

origin : pointy

x

z

thickness

height

base

origin : pointy

x

z

y

x

z

ts1

B

sleeve1

B ts2

ds2

ds1

sleeve2

L

shaft

s

rib1 rib2

v. 2005-12-19

Solving supported via

math tool execution


46/88


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47

COB-based Libraries of Analysis Building Blocks (ABBs)Material Model and Continuum ABBs - Constraint Schematic-S

Material Model ABB

Continuum ABBs

modularre-usage

E

One D Linear

Elastic Model

T

G

e

t

material model

polar moment of inertia,J

radius, r

undeformed length,Lo

twist,

theta start, 1

theta end, 2

r1

12

r3

0L

r

J

rTr

torque, Tr

x

TT

G, r, , ,J

Lo

y

material model

temperature, T

reference temperature, To

force, F

area,A

undeformed length,Lo

total elongation,L

length,L

start,x1

end,x2

E

One D LinearElastic Model

(no shear)

T

e

t

r1

12 xxL

r2

oLLL

r4

A

F

edb.r1

oTTT

r3

L

L

x

FF

E, A,

LLo

T, ,

yL

Torsional Rod

Extensional Rod

temperature change,T

cte,

youngs modulus,E

stress,

shear modulus, G

poissons ratio,

shear stress, shear strain,

thermal strain, t

elastic strain, e

strain,

r2

r1)1(2

EG

r3

r4Tt

Ee

r5

G

te

1D Linear Elastic Model

Regarding classical COB notation and examples,

see References/Backup Slides



Libraries of Analysis Building Blocks (ABBs)


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48

Class torsional_rod

material_model :one_D_linear_elastic_model_isothermal

shear_modulus

shear_stress

stress

youngs_modulus

strain

shear_strain

name

theta_start

theta_end

twist

torque

radius

polar_moment_of_inertia

undeformed_length

r1 : algebraica

b

c

r2 : algebraic

a

b

c

d

r3 : algebraic

a

b

c

d

material_model :one_D_linear_elastic_model_isothermal

shear_modulus

shear_stress

stress

youngs_modulus

strain

shear_strain

name

shear_modulus

shear_stress

stress

youngs_modulus

strain

shear_strain

name

theta_start

theta_end

twist

torque

radius


undeformed_length

r1 : algebraica

b

c a

b

c

r2 : algebraic

a

b

c

d

a

b

c

d

r3 : algebraic

a

b

c

d

a

b

c

d

par-d

Libraries of Analysis Building Blocks (ABBs)Material Model & Continuum ABBs - SysML Parametric Diagrams

modularre-usage

Class extensional_rod

material_model :one_D_linear_elastic_model_noShear

elastic_straintemperature_change

youngs_modulus

cte

name

strainstress

thermal_strain

start

end

length

total_elongation

force

area

undeformed_length

reference_temperature

temperature

r1 : algebraica

b

c

r2 : algebraica

b

c

r3 : algebraica

b

c

r4 : algebraicab

c

r1edb : algebraicab

c



youngs_modulus

cte

name

strainstress

thermal_strain


youngs_modulus

cte

name

strainstress

thermal_strain

start

end

length

total_elongation

force

area

undeformed_length


temperature

r1 : algebraica

b

c a

b

c

r2 : algebraica

b

c a

b

c

r3 : algebraica

b

c a

b

c

r4 : algebraicab

c

ab

c

r1edb : algebraicab

c

ab

c

par-d

Class one_D_linear_elastic_model

youngs_modulus

poissons_ratio

cte

shear_modulus

strain

stress

shear_stress

shear_strain

thermal_strain

elastic_strain

temperature_change

name

yield_stressr1 : algebraic

a

b

c

r3 : algebraica

b

c

r4 : algebraicab

c

r5 : algebraica

b

c

r2 : algebraic

a

b

c

youngs_modulus

poissons_ratio

cte

shear_modulus

strain

stress

shear_stress

shear_strain

thermal_strain

elastic_strain

temperature_change

name

yield_stressr1 : algebraic

a

b

c

a

b

c

r3 : algebraica

b

c a

b

c

r4 : algebraicab

c

ab

c

r5 : algebraica

b

c a

b

c

r2 : algebraic

a

b

c

a

b

c

par-d

v. 2005-12-19


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50

Flap Link Simulation Templates & Generic Building BlocksSysML Block Definition Diagram (bdd) - basic view

cbamlink_analysis_model

cbamlink_extensional_model

cbamlink_torsional_model

cbamlink_plane_stress_model

abb

link_plane_stress_abb

abbmargin_of_safety_model

abb

extensional_rod_isothermal

abbone_D_linear_elastic_model_isothermal

abb

torsional_rod

condition apmflap_link

abbone_D_linear_elastic_model

abbone_D_linear_elastic_model_noShear

1 1

associated_condition

1

1

stress_mos_model

1

1

stress_mos_model

1

1l

twist_mos_model

1

1

sx_mos_model

1

1

ux_mos_model

1

1

deformation_model1

1

deformation_model1

1

deformation_model

1

1

material_model

1

1

material_model

Generalization45

git tool caveat

bdd flap_link_cbams bdd - basic view

T t i l E l Fl Li k A l i T l t


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(1a) Analysis Template: Flap Link Extensional Model

Tutorial Example: Flap Link Analysis TemplateCOB-based CBAM - Constraint Schematic (classical view)

material

effective length,Leff

deformation model

linear elastic model

Lo

Extensional Rod(isothermal)

F

L

A

L

E

x2

x1

youngs modulus,E

cross section area,A

al1

al3

al2

linkage

mode: shaft tension

condition reaction

allowable stress

y

x

PP

E, A

LLeff

,

Lts1

A

Sleeve 1

A ts2

ds2

ds1

Sleeve 2

L

Shaft

Leff

s

stress mos model


allowable

actual

MS

Solution Tool

Interaction

Boundary Condition Objects(links to other analyses)*

CAD-CAE

Associativity(idealization usage)

Material ModelsGeometry

Requirements &

Objectives

APMABB

ABB

CBAM

SMM




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Analysis Template: Flap Link Extensional ModelCOB-based CBAM - SysML Parametric Diagram

v. 2005-12-19

apmflap_link


critical_cross_section :cross_section

basic : basic_I_section

area

part_numbereffective_length

material




area



area


areaarea

part_numbereffective_length

material

Class link_extensional_model

partabb

stress_mos_model : margin_of_safety_model

allowable

determined

margin_of_safety

associated_condition : condition

description reaction

partabbdeformation_model : extensional_rod_isothermal

length

total_elongationforce

area

undeformed_length


youngs_modulus

stressname

al2 : a=b ab

al3 : a=b ab

al4 : a=b ab

al5 : a=b ab

al6 : a=b

a

b

al7 : a=ba b

link

al1 : a=b ab

partabb

stress_mos_model : margin_of_safety_model

allowable

determined

margin_of_safety

allowable

determined

margin_of_safety

associated_condition : condition

description reactiondescription reaction

partabbdeformation_model : extensional_rod_isothermal

length


area

undeformed_length


youngs_modulus

stressname

length


area

undeformed_length


youngs_modulus

stressname

youngs_modulus

stressname

al2 : a=b ab ab

al3 : a=b ab ab

al4 : a=b ab ab

al5 : a=b ab ab

al6 : a=b

a

b

a

b

al7 : a=ba ba b

link

al1 : a=b ab ab

material

stress_strain_model :material_levels

linear_elastic :linear_elastic_model

youngs_modulus

name yield_stress

stress_strain_model :material_levels


youngs_modulus


youngs_modulusyoungs_modulus

name yield_stress

par-d


math tool execution

Analysis Template Instance with Multi Directional I/O


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53

material


deformation model


Lo

Extensional Rod

(isothermal)

F

L

A

L

E

x2

x1

youngs modulus,E

shaft

critical_cross

_section

al1

al3

al2

linkage

mode: shaft tension

condition reaction

allowable stress

stress mos model

Margin of Safety

(> case)

allowable

actual

MS

description

area,Abasic

example 1, state 1

steel

10000 lbs

flaps mid position

1.125 in2

18000 psi

30e6 psi

1.025

5.0 in

8888psi

1.43e-3 inFlap Link #3

material

effective length, Leff

deformation model


Lo

Extensional Rod

(isothermal)

F

L

A

L

E

x2

x1

youngs modulus,E

shaft

critical_cross

_section

al1

al3

al2

linkage

mode: shaft tension

condition reaction

allowable stress

stress mos model


allowable

actual

MS

description

area,Abasic

X

3.00e-3 in

1.125 in2

5.0 inFlap Link #3

0.0

steel10000 lbs

flaps mid position

18000psi

example 1, state 3

30e6 psi18000 psi

0.555 in2

Analysis Template Instance with Multi-Directional I/OFlap Link Extensional Model - COB Constraint Schematics (classical view)

Design Verification- Input: design details- Output:

i) idealized design parametersii) physical response criteria

Design Synthesis- Input: desired physical

response criteria- Output:

i) idealized designparameters(e.g., for sizing), or

ii) detailed designparameters


Flap Link Extensional Model


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Flap Link Extensional ModelExample COB Instance in XaiTools(object-oriented spreadsheet)

Detailed CAD datafrom CATIA

Idealized analysis featuresin APM

Explicit multi-directional associativitybetween design & analysis

Modular generic analysis templates(ABBs)

Library data formaterials

example 1, state 1


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S


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56

FEA-based Analysis Template: Link Plane Stress ModelCOB-based CBAM - Constraint Schematic (classical view)

ts1

rs1

L

rs2

ts2tf

ws2ws1

wf

twF

LL

x

y

LC

Plane Stress Bodies

Higher fidelity versionvs. Link Extensional Model

name

linear_elastic_model

wf

tw

tf

inter_axis_length

sleeve_2

shaft

material

linkage

sleeve_1

w

t

r

E

cross_section:basic

w

t

r Lws1

ts1

rs2

ws2

ts2

rs2

wf

tw

tf

E

deformation model

x,max

ParameterizedFEA Model

stress mos model


allowable

actual

MS

ux mos model


allowable

actual

MS

mode: tensionux,max

Fcondition reaction

allowable inter axis length change

allowable stress

ABBSMM SMM Template


FEA-based Analysis Template: Link Plane Stress Model


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y pCOB-based CBAM - SysML Parametric Diagram (draft layout)

link_plane_stress_model

sx_mos_model :margin_of_safety_model

determined

margin_of_safety

allowable

ux_mos_model :margin_of_safety_model

margin_of_safety

determined

allowable

deformation_model : link_plane_stress_abb

ts2

tw

lux

rs2

ex

sx

ws2

ts1

ws1

force

rs1

tf

wf

nuxy al1 : a=bb a

al2 : a=b ab

al3 : a=b ab

al5 : a=bb a

al6 : a=bba

al9 : a=b ab

al11 : a=bb

a

al12 : a=bb a

al13 : a=b ab

al7 : a=b

a

b

al8 : a=b ba

al9 : a=b

a

b

al8 : a=bb a

al14 : a=b

b

a

al7 : a=b*2.0b a

al10 : a=b*2.0ba

associated_condition :condition

description

reactionload

link

al6 : a=ba b

sx_mos_model :margin_of_safety_model

determined

margin_of_safety

allowabledetermined

margin_of_safety

allowable

ux_mos_model :margin_of_safety_model

margin_of_safety

determined

allowablemargin_of_safety

determined

allowable

deformation_model : link_plane_stress_abb

ts2

tw

lux

rs2

ex

sx

ws2

ts1

ws1

force

rs1

tf

wf

nuxy

ts2

tw

lux

rs2

ex

sx

ws2

ts1

ws1

force

rs1

tf

wf

nuxy al1 : a=bb ab a

al2 : a=b ab

ab

al3 : a=b ab ab

al5 : a=bb ab a

al6 : a=bba

ba

al9 : a=b ab

ab

al11 : a=bb

ab

a

al12 : a=bb ab a

al13 : a=b ab ab

al7 : a=b

a

b

a

b

al8 : a=b ba ba

al9 : a=b

a

b

a

b

al8 : a=bb ab a

al14 : a=b

b

a

b

a

al7 : a=b*2.0b ab a

al10 : a=b*2.0ba

ba


description

reactionload

description

reactionload

link

al6 : a=ba ba b

flap_link

part_number

material

sleeve1 : sleeve

width

wall_thickness

outer_diameter

sleeve2 : sleeve

width

wall_thickness

outer_diameter




flange_thickness

total_height

flange_width

web_thickness

web_height


effective_length

part_number

material

sleeve1 : sleeve

width

wall_thickness

outer_diameter

width

wall_thickness

outer_diameter

sleeve2 : sleeve

width

wall_thickness

outer_diameter

width

wall_thickness

outer_diameter




flange_thickness

total_height

flange_width

web_thickness

web_height



flange_thickness

total_height

flange_width

web_thickness

web_height


flange_thickness

total_height

flange_width

web_thickness

web_height

flange_thickness

total_height

flange_width

web_thickness

web_height


effective_length

material

name

stress_strain_model : material_levels


poissons_ratio

youngs_modulus

yield_stress

name



poissons_ratio

youngs_modulus


poissons_ratio

youngs_modulus

poissons_ratio

youngs_modulus

yield_stress

Solving supported

via math tool and

FEA tool execution



SMM with Parameterized FEA Model


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SMM with Parameterized FEA ModelFlap Link Plane Stress Model

!EX,NIUX,L,WS1,WS2,RS1,RS2,TS1,TS2,TW,TF,WF,FORCE

...

/prep7

! element type

et,1,plane42

! material properties

mp,ex,1,@EX@ ! elastic modulus

mp,nuxy,1,@NIUX@ ! Poissons ratio

! geometric parameters

L = @L@ ! length

ts1 = @TS1@ ! thickness of sleeve1

rs1 = @RS1@ ! radius of sleeve1 (rs1


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Anal sis Template Flap Link Torsional Model


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Analysis Template: Flap Link Torsional ModelCOB-based CBAM - Constraint Schematic (classical view)

material


deformation model


Lo

Torsional Rod

G

J

r

2

1

shear modulus, G

cross section:effective ring polar moment of inertia,J

al1

al3

al2a

linkage

mode: shaft torsion

condit ion reaction

ts1

A

Sleeve 1

A ts2

ds2

ds1

Sleeve 2

L

Shaft

Leff

s

T

outer radius, ro al2b

stress mos model

allowable stress

twist mos model


allowable

actual

MS


allowable

actual

MS

allowabletwist

Diverse Mode (Behavior) vs. Link Extensional ModelClassicalCOBNotationPeak1993Tamburini1999Wilson2000

Analysis Template: Flap Link Torsional Model


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Analysis Template: Flap Link Torsional ModelCOB-based CBAM - SysML Parametric Diagram (draft layout)

link_torsional_model

stress_mos_model :margin_of_safety_model

allowable

margin_of_safety

determined

twist_mos_model :margin_of_safety_model

margin_of_safety

determined

allowable

deformation_model : torsional_rod


theta_end

theta_start

twist


temperature

torque

radius

undeformed_length

material_model :

one_D_linear_elastic_m-odel_isothermal

shear_stressname

shear_modulus

al1 : a=b

ab

al1a : a=b/2.1

a

b

al2 : a=b*0.9 ba

al3 : a=b ba

al4 : a=bba

al5 : a=b a

b

al6 : a=b ba

al7 : a=b

a

b

al8 : a=b ba

al9 : a=b

a

b


reaction

description

load

stress_mos_model :margin_of_safety_model

allowable

margin_of_safety

determined

allowable

margin_of_safety

determined

twist_mos_model :margin_of_safety_model

margin_of_safety

determined

allowablemargin_of_safety

determined

allowable

deformation_model : torsional_rod


theta_end

theta_start

twist


temperature

torque

radius

undeformed_length

material_model :


shear_stressname

shear_modulus


theta_end

theta_start

twist


temperature

torque

radius

undeformed_length

material_model :


shear_stressname

shear_modulusshear_stressname

shear_modulus

al1 : a=b

ab

ab

al1a : a=b/2.1

a

b

a

b

al2 : a=b*0.9 ba

ba

al3 : a=b ba

ba

al4 : a=bba ba

al5 : a=b a

b

a

b

al6 : a=b ba ba

al7 : a=b

a

b

a

b

al8 : a=b ba

ba

al9 : a=b

a

b

a

b


reaction

description

load

reaction

description

load

flap_link




total_height

area

part_number

material

allowable_twist

effective_length




total_height

area



total_height

area


total_height

area

total_height

area

part_number

material

allowable_twist

effective_length

material

name

yield_stress



shear_modulus

name

yield_stress



shear_modulus


shear_modulusshear_modulus


math tool execution



Modularity and Reusability inFl Li k B h k P bl


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Flap Link Benchmark ProblemSysML Package Structure

cobs

git-schemaflap_link_cbams

git-schemaflap_link_apm

common

git-schemaabbs

git-schemaapm

git-schemageometry

git-schemamaterials

git-schemaflap_link_cbams

git-schemaflap_link_apm

common

git-schemaabbs

git-schemaapm

git-schemageometry

git-schemamaterials

git-schemaabbs

git-schemaapm

git-schemageometry

git-schemamaterials

git-use-from

git-use-from

git-use-from


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Copyright 200563

Next Steps

Update current examples and tool interfaces

Conformance to SysML spec

SysML v0.98 (SST) - ~2006-01

SysML v1.0 - ~2006-1Q

Draft recommended practices for SysML-based CAD/CAEand general parametrics usage

Expand examples: other system levels, constructs,domains, CAD tools, CAE solvers, ...


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Copyright 200564

Summary

Completed several test cases on representing

executable physics-based CAE models in SysML Tutorial & benchmark problems

Triangles, analytical springs, flap link

Includes interfaces to representative COTS solvers

General math: Mathematica

FEA: Ansys

Leverages composable object (COB)and simulation template techniques

Usage for knowledge capture & usage

MRA for CAD-CAE and systems-of-systems (SoS)

Diverse CAD/CAE tools, behaviors, fidelity, ...

Modular, reusable simulation building blocksand fine-grained inter-model associativity


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Copyright 200565


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Reference & Backup Slides


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Copyright 200567


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Copyright 200568

Contents - Part 1

Purpose

CAD-CAE simulation template background


Modularity & reusability

Executable SysML parametrics (math, FEA)

Summary

Recommended prerequisites

Triangle tutorial Spring systems tutorial

Multi-representation architecture (MRA)for simulation templates and CAD-CAE interoperability

[plus see flap link example above and references]

Frame of ReferenceCAD CAE Model Representation & Interoperability R&D


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69Engineering Information Systems Lab eislab.gatech.edu 1993-2001 GTRC

Design Models Analysis ModelsDesign Models Analysis Models

CAD-CAE Model Representation & Interoperability R&D~1992 - Present

Resulting techniques to date:

Architecture with new model abstractions (patterns)

Enables modular, reusable building blocks

Supports diversity: Product domains and physical behaviors

CAD/E methods and tools

Supports multiple levels of fidelity

Other Model Abstractions (Patterns)

Frame of Reference(cont.)CAD-CAE Model Representation & Interoperability R&D


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CAD-CAE Model Representation & Interoperability R&DKey Capabilities

Represent design-analysis model associativityas tool-independent knowledge

Provide methodology

Capture analysis idealization knowledge Create highly automated analysis templates

Support product design

Design Models Analysis ModelsOther Model Abstractions (Patterns)

Idealization & Associativity Relations

Frame of Reference(cont.)CAD-CAE Model Representation & Interoperability R&D


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Product-Specific

Product-Independent

1 Solution Method Model

ABB SMM

2 Analysis Building Block

4 Context-Based Analysis Model3

SMMABB

APM ABB

CBAM

APM

Design Tools Solution Tools

Printed Wiring Assembly (PWA)

Solder Joint

Component

PWB

Solder Joint

Component

PWB

body3

body2

body1

body4

T0

body3

body2

body1

body4

T0





AnalyzableProduct Model

i

CAD-CAE Model Representation & Interoperability R&DMapping to a Conceptual Architecture

Design Models Analysis ModelsOther Model Abstractions (Patterns)

Idealization & Associativity Relations

Multi-Representation Architecture (MRA)

A Basic Solder Joint Deformation Template


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Plane Strain Bodies System

PWA Component Occurrence

CL

1

material ,E( , )geometry

body

plane strain body , i = 1...4PWB

Documents

Git Sysml Part 1 Cae Models