parametric mdo lecture mit dist › bitstream › handle › 1721.1 › ... · – balance analysis...

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1 Fenyes 4/14/04 Packaging Geometric measures to check requirements Occupant model Engine compartment packaging Inputs Occupant position - H-point, etc Engine/transmission selection and position Outputs Shoulder room, knee room, etc Roominess measure Packaging feasibility Fenyes 4/14/04 Trunk Volume

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Page 1: parametric MDO lecture MIT dist › bitstream › handle › 1721.1 › ... · – Balance analysis detail against design knowledge • Support design and analysis strategies through

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Fenyes4/14/04

Packaging• Geometric measures to check requirements

– Occupant model– Engine compartment packaging

• Inputs– Occupant position - H-point, etc– Engine/transmission selection and position

• Outputs– Shoulder room, knee room, etc– Roominess measure– Packaging feasibility

Fenyes4/14/04

Trunk Volume

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Fenyes4/14/04

Linear Structures

• FE model associatively linked to UG parametric model - UG Scenario– FE model is built once - automatically updated as geometry changes– Beams/Springs/Shells/Masses

• Locations and properties associated to geometry (M, K, b, h, t, etc)

• Inputs– Parametric geometry specification– Component masses– Initial structures model

• Outputs– Vehicle mass– Structural modes

Fenyes4/14/04

Tightly Coupling Representation to Analyses• Analysis models remain synchronized with representation • Example – CAD to CAE/structures: UG Modeling and UG Scenario

– Automatically update hybrid beam/spring/shell/mass model from CAD model

Automatically update from CAD to CAE

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Aerodynamics

• Exterior aero surface linked to underlying structure CAD representation– Aero drag is approximated– Frontal area calculated in UG

• Inputs– Exterior shape

• Outputs– Aero drag– Frontal area

Fenyes4/14/04

Energy

• Compute fuel economy, acceleration based on spreadsheet model– Depends on structures, aero, marketing disciplines

• Inputs– Cd– Drag– Frontal area– Powertrain, tires, etc.– Performance requirements

• Outputs– Fuel economy

• (city, highway, combined)– Acceleration

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Business

• Estimate sales, revenue, costs– Link performance to customer value– Link customer value to sales/revenue

• Inputs– Competitors– Performance– Forming and assembly technology– Equipment, tooling costs– BOM/Parts - size, mass, material

• Outputs– Sales– Revenue– Cost– Net income, profit

Fenyes4/14/04

One Approach to Link Market Demand, Value, and Performance:S-Model (Ref: H. E. Cook, 1997)

Customer-Perceived ValueDrives Market Demand

Price

Sale

s Vo

lum

e

Baseline Value

CompetitiveAdvantage

IncreasedValue

Product Specifications DriveCustomer-Perceived Value

Prod

uct V

alue

Product Spec

ImprovedFunction

IncreasedValue

(e.g. 0-60 Time, Turning Circle)

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Example Problem -Dimensional Flexibility for Vehicle Architecture

• Maximize net income while satisfying performance requirements– Discipline analyses: geometry, aero, fuel economy. packaging, business– Discipline sub-optimization: structures, business

• Specific vehicle configuration:– Body style– Powertrain and components

• Nine high level, architectural design variables– Vehicle width at rocker– Front and rear track width– Front and rear overhang– Front and rear axle location – vertical and horizontal

• Performed automated discipline analyses:– Perturbed representation– Generated analysis models– Exchanged data through database– Computed change in Net Income (“natural” objective)

• Generated sensitivities and optimized

DesignRepresentation(Unigraphics)

Database(MS Access)

MultidisciplinaryDesign

(iSIGHT)

StructuralOptimization(NASTRAN)

Aerodynamics InteriorRoominess

(Excel)

Business

Summary ofResults(Excel)

Energy

Custom

Custom

Custom

Fenyes4/14/04

Shoulder Room

DesignRepresentation(Unigraphics)

Database(MS Access)

MultidisciplinaryDesign

(iSIGHT)

StructuralOptimization(NASTRAN)

AerodynamicsInterior

Roominess(Excel)

Business

Summary ofResults(Excel)

VehicleGeometry

Bod

y St

ruct

ure

Mas

s

Frontal Area, Cd

Value ofRoominess

Optimized GaugesAnd Sections

Architecture Configuration & Parameterization

Net Income

Exterior Width Gauges, Areas,Section Sizes

Fuel Economy,Performance

Energy

Overall Width

Example – Dimensional FlexibilityData Flow and Analysis

Vehicle Width at Rocker

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Framework Illustration: Analysis Outputs

Sensitivity of Net Income to Rocker Location

Relative Sensitivities for Other Architecture Parameters

• Front and Rear Axle Position - L, H• Front and Rear Overhang• Front and Rear Track

-8%

-6%

-4%

-2%

0%

2%

4%

6%

8%

-4% -2% 0% 2% 4%

Change in Rocker Center Y Coordinate

Cha

nge

in N

et In

com

e

-15% -10% -5% 0% 5% 10% 15%

Rocker Ctr. Y Coord. + 5%- 5%

RR Axle X Coord. - 5%+ 5%

FRT Overhang + 5% - 5%

RR Overhang 0%- 5% / + 5%

FRT Axle X Coord. + 5% - 5%

RR Track + 5%- 5%

RR Axle Z Coord. + 5% - 5%

FRT Axle Z Coord. - 5% + 5%

Fenyes4/14/04

96.00%

98.00%

100.00%

102.00%

104.00%

106.00%

108.00%

110.00%

112.00%

0 2 4 6 8 10 12 14 16 18

RunCounter

Net

Inco

me

%

Series1

Iteration History - Dimensional Flexibility

• Sequential discipline analyses, sub-optimizations for structures and business• 10 iterations for gradients, 6 iterations for convergence

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Reporting Analysis and Optimization Results:View Database through Web Interface

• Iteration history may be reviewed

Fenyes4/14/04

Other Automotive MAO Applications

• Crash, linear analysis, robust design• Aero and acoustics

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General MAO Challenges• Problem Formulation

– Determine key drivers and responses– MDO formulation – “natural” objective, multi-objective, preference modeling, etc.

• Consistent parametric representation– Consistent information shared by all disciplines

• geometric data• non-geometric data (BOM, configuration, material properties, …)• analysis results history, gradients, approximations

• Discipline analysis to support tradeoffs– Analysis tightly coupled to representation– Key disciplines are supported– Balance analysis detail against design knowledge

• Support design and analysis strategies through quality, commercial software– Approximation strategies – Design approaches

• DOE, optimization, decision support, Pareto frontiers,

Fenyes4/14/04

Challenges to Widespread MAO Application

• Educational challenges– Educating corporations on optimization, then MAO– Educating the next generation of users and teachers

• Corporate cultural challenges– Organizing work for MAO

• Software challenges– Simpler to use, better GUI– More capable to handle distributed computation with broad range of

analyses, database interaction, interactive data visualization, report generation, …

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MAO Software Challenges

• Data Storage, Management, Communication – Consistent information requires database storage and communication with disciplines– Standards will be required to drive this (e.g. http://www.omg.org/ )

• Vehicle and Results databases used for:– Model building– Storing analysis results, history, gradients, approximations – Communication with commercial systems (ODBC, SQL) a must

• Full support for user defined design strategies, algorithms– Approximation strategies

• DOE, neural net, response surfaces, etc. • Use gradients and Hessians as available

– Simplify use of proprietary or other algorithms within commercial frameworks

• Data Transformations– Units, coordinate systems– Geometric relationships– Variable relationships

• Parametric, DV linking

Fenyes4/14/04

Challenges in Automotive MAO

• Level of detail and complexity– When and how should MAO be used in the vehicle and component design

processes?

• Inclusion of more disciplines that have a strong linkage to the vehicle or component design problem

– Vehicle design• Safety, reliability, aesthetics, vehicle dynamics, …

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Summary

We have developed an MAO system for coarse balance and integration during the early vehicle development process which

– Enables use of math based decision tools for vehicle and architecture design– Facilitates multidisciplinary analysis with consistent data

• Extends math based beyond engineering to manufacturing and business• Provides consistent sharing of representation and analysis data through database • Simplifies storage and access of analysis results through database and GUI

– Quantifies discipline consequences of design and architectural changes

Much work remains !

Fenyes4/14/04

Designing Great GM Cars and Trucks !