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Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 1 1. Dresdner-Probabilistik-Workshop Altair HyperWorks Driving the Product Development Process of Turbomachines Altair Engineering GmbH Dr. Dominik Schlotz Director Business Development Dresden, 09.10.2008 1. Dresdner-Probabilistik-Workshop

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Page 1: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 11. Dresdner-Probabilistik-Workshop

Altair HyperWorksDriving the Product Development

Process of Turbomachines

Altair Engineering GmbH

Dr. Dominik SchlotzDirector Business Development

Dresden, 09.10.2008

1. Dresdner-Probabilistik-Workshop

Page 2: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 21. Dresdner-Probabilistik-Workshop

AGENDA

� Company Overview

� HyperWorks – A Platform for Innovation

• HyperWorks Overview

• Altair HyperWorks Morphing Technology

• Design Studies with solver-neutral

Software Altair HyperStudy

� HyperWorks Applications

� Summary

� Q&A

Page 3: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 31. Dresdner-Probabilistik-Workshop

AGENDA

� Company Overview

� HyperWorks – A Platform for Innovation

• HyperWorks Overview

• Altair HyperWorks Morphing Technology

• Design Studies with solver-neutral

Software Altair HyperStudy

� HyperWorks Applications

� Summary

� Q&A

Page 4: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 41. Dresdner-Probabilistik-Workshop

Altair – Global CAE Supplier

� Founded 1985 in Detroit, USA

� ~1400 Colleagues

� 30 Offices worldwide

� More than 3,500 Customers

Seattle, USA

Los Angeles, USA

Austin, USA

Dallas, USA

Toronto, Canada

Windsor, Canada

Detroit, USA

Boston, USA

Milwaukee, USA

Atlanta, USA

Sao Paulo, Brazil

Lund, Sweden

Gothenburg, Sweden

Leamington, UK

Manchester, UK

Boeblingen, Germany

Cologne, Germany

Hamburg, Germany

Hannover, Germany

Munich, Germany

Paris, France

Sophia Antipolis, France

Toulouse, France

Torino, Italy

Milan, Italy

Moscow, Russia

Delhi, India

Pune, India

Bangalore, India

Beijing, China

Shanghai, China

Tokyo, Japan

Osaka, Japan

Nagoya, Japan

Seoul, Korea

Melbourne, Australia

Page 5: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 51. Dresdner-Probabilistik-Workshop

AutomotiveAutomotive AerospaceAerospaceHeavy Heavy

EquipmentEquipmentGovernment / Government /

DefenseDefenseLife Sciences/ Life Sciences/

Earth SciencesEarth SciencesConsumer Goods / Consumer Goods /

Oil & GasOil & Gas

Industry Verticals

Over 3.500 Customers in Various Industries

Page 6: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 61. Dresdner-Probabilistik-Workshop

Altair Technology Groups

Technology to analyze, optimize and visualize information for decision makers

in business and engineering

Page 7: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 71. Dresdner-Probabilistik-Workshop

� Market leader for modeling, visualization and optimization of complex mechanical systems

� A Platform for Innovation - Powerful,

open and easy to program design environment for mechanical

engineers in all industries

Computer-aided engineering software suite for product design and manufacturing

Page 8: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 81. Dresdner-Probabilistik-Workshop

� Market share leader with over 30,000 deployments worldwide

� PBS Professional and OpenPBS

� Proven scalability and reliability on the largest and most complex data centers

� Mature Eco-System partner network ensures seamless integration and ease

of deployment

� It’s EveryWare! - Manages

heterogeneous mix of Unix, Linux and Windows systems

Grid computing technology that maximizes the ROI of enterprise IT assets

Page 9: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 91. Dresdner-Probabilistik-Workshop

The shortest distance between concept and reality

High value and innovative product design, process mapping

and automation consulting services

Page 10: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 101. Dresdner-Probabilistik-Workshop

Altair Engineering Inc.

‘94 ‘96 ‘99 ‘03 ‘04 ‘05 ‘06 ‘07‘85 ‘89

Exhibiting Strong Software Growth

Europe 2007: +50%

Total revenue 2007: ~140 M USD

Page 11: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 111. Dresdner-Probabilistik-Workshop

AGENDA

� Company Overview

� HyperWorks – A Platform for Innovation

• HyperWorks Overview

• Altair HyperWorks Morphing Technology

• Design Studies with solver-neutral

Software Altair HyperStudy

� HyperWorks Applications

� Summary

� Q&A

Page 12: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 121. Dresdner-Probabilistik-Workshop

Altair HyperWorks - Overview

Modeling &

Visualization

VisualizationVisualizationHyperView

Multi-Body DynamicsMulti-Body DynamicsMotionView

Finite ElementsFinite ElementsRADIOSS

Concept & DesignConcept & DesignOptiStruct

Multi-Body DynamicsMulti-Body Dynamics

MotionSolve

Analysis Optimization Manufacturing

ExtrusionsExtrusionsHyperXtrude

ForgingForgingAltair Forging

MoldingMolding

Altair Molding

Fr. Stir WeldingFr. Stir WeldingAltair Friction Stir Welding

CAE Data ManagementCAE Data ManagementAltair Data Manager

Process AutomationProcess AutomationAltair Process Manager

Sheet MetalSheet MetalHyperForm

Finite Element Finite Element HyperMesh/HyperCrash

Multi-DisciplinaryMulti-DisciplinaryHyperStudy

Page 13: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 131. Dresdner-Probabilistik-Workshop

Open Architecture for Better Integration into

Enterprise PLM Architectures

� CATIA

� UG

� Pro/E

� IGES

� STEP

� Adams

� Abaqus

� Ansys

� Deform

� Dyna

� Fluent

� Madymo

� Moldflow

� Nastran

� Permas

� PamCrash

� Radioss

� Simpack

� StarCD

Page 14: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 141. Dresdner-Probabilistik-Workshop

Efficient Preprocessing

� HyperMesh

• Geometry cleanup, automated or manual

• Meshing and assembly for rapid FE model

development

• Advanced Hex-meshing

• State-of-the-art solver interfaces

� BatchMesher

• Automated “Batch” Meshing and Assembly

• Performs geometry cleanup and auto-meshing (in a “batch” mode) for CAD files

• Operates on shell meshes

• Significantly reduce model cleanup and

meshing time

Page 15: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 151. Dresdner-Probabilistik-Workshop

Morphing Technology

� HyperMorph (embedded in HyperMesh)

What is morphing?

Derive from metamorphose, transformation

Page 16: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 161. Dresdner-Probabilistik-Workshop

Morphing Existing Models to New Designs

� Description

• Rapidly change geometry of existing FE model

interactively or parametrically

• Adapt existing FE models to new design data

� Benefits

• Dramatic reduction in modeling time

• Enables rapid “What If?” studies

� Application Examples in Gas Turbine Industry

• “System Level Morphing” - HyperMorph is used to

perform morphing of an engine model to allow

rapid assessment of bearing and seal

location/configuration

• “Component Morphing” – Turbine blades morphed

to “in-operation” shape

Example for cyclic morphing

before

after

Page 17: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 171. Dresdner-Probabilistik-Workshop

Rapid Evaluation of “Concessions”

� Description

• Rapidly assess the usability of out-of-spec high value

components

• FE model is morphed to the “as manufactured”

geometry, loads and boundary conditions are retained

• Assessment usability made within the one week

deadline

• Components on which this has been used include

turbine blades and engine casings

� Benefits

• Significant cost savings by using high value

components that were usually scrapped

• Just one of the concessions saved by this

manufacturer more than covers the price of a HyperWorks license for HyperMesh

Nominal

Out-of-spec

Page 18: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 181. Dresdner-Probabilistik-Workshop

� HyperView

• Engineering analysis of test data and

simulation results

• Report templates

• Rapid post-processing of design iterations

• Automated report generation

• Publish to HTML and MS/Office

• Results mapping from one analysis to a successive analysis

• Test data correlation and advanced data

analysis

• Comprehensive support of virtually all

commercial solvers, including ANSYS,

NASTRAN and LS-DYNA

• Readers for “in-house” codes can be created

Results overlay

Common Post-Processing Environment

Page 19: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 191. Dresdner-Probabilistik-Workshop

� Altair Process Manager

• Process management and

authoring environment to capture

best practices for design processes

• Enables integration of diverse

applications (from CAD, to in-house

applications, to HyperWorks) in

organized work flows

� Altair Data Manager

• Product performance data management and decision support

driven by already established

engineering processes

• Manage engineering work-in-process data in the context of

existing PDM system

Process Automation and Data Management

Page 20: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 201. Dresdner-Probabilistik-Workshop

Today…

Altair…

Altair’s Vision

Optimization is Driver in CAE Driven Design Process

Page 21: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 211. Dresdner-Probabilistik-Workshop

Optimization & Design Studies

… generic study

tool for arbitrary

solvers, includes

DOE and

Stochastics

… with integrated

FEA solver

Page 22: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 221. Dresdner-Probabilistik-Workshop

Performing Design Studies

� Altair HyperStudy

Page 23: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 231. Dresdner-Probabilistik-Workshop

� Solver Neutral

� Direct parameterization: Automatic transfer of modal parameters from e.g. HyperMesh/HyperMorph

� Integrated with HyperWorks thru HyperMesh, MotionView and direct solver interfaces

� Multi-Solver Study: sequential or parallel

� Integration of grid computing software PBS professional

Model

ResultsResultsResultsResultsResults

VariantVariantVariantVariantVariant

SimulationSimulationSimulationSimulationSimulation

Study Results- Optimal Parameters

- Sensitivities

- Model Robustness

- …

Study Results- Optimal Parameters

- Sensitivities

- Model Robustness

- …

Creation

JobManagement

Extraction

Study

Engine

Study

Engine

Design Studies with Altair HyperStudy

Page 24: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 241. Dresdner-Probabilistik-Workshop

Process Flow in HyperStudy

Setup

DOE

Approximation

Optimization

Stochastic

Process DefinitionProcess Definition

Study DefinitionStudy Definition

Pro

cess

Flo

w

Page 25: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 251. Dresdner-Probabilistik-Workshop

AGENDA

� Company Overview

� HyperWorks – A Platform for Innovation

• HyperWorks Overview

• Altair HyperWorks Morphing Technology

• Design Studies with solver-neutral

Software Altair HyperStudy

� HyperWorks Applications

� Summary

� Q&A

Page 26: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 261. Dresdner-Probabilistik-Workshop

Shape Optimization of a Turbine Blade Root

� Objective

Minimize stresses and strains at the root of turbine blade where it attaches to the disc to improve fatigue life

� Software Tools

• FE Model development – HyperMesh

• Solver – ANSYS

• Shape variable definition – HyperMorph

• Optimization setup – HyperStudy

• Optimization – HyperStudy

� Cyclic symmetry boundary conditions

� Two cases – 8500 rpm & 4000 rpm Elements Used: Solid 45, Solid 95 Total No. Elements: 305,524

Total No. Nodes: 304,061

Region of interest

Page 27: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 271. Dresdner-Probabilistik-Workshop

Shape Optimization of a Turbine Blade Root

� Shape variables definition with HyperMorph

R2

R1

θ

W1

H

VW2

Page 28: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 281. Dresdner-Probabilistik-Workshop

Shape Optimization of a Turbine Blade Root

� Elastic-Plastic Analysis Optimization Results (8500 RPM)

Baseline DesignMax SEQV = 768 MPa

Max Strain = 0.00808

Optimized DesignMax SEQV = 746 MPa

Max Strain = 0.00603

0

100

200

300

400

500

600

700

800

900

1000

0 0.002 0.004 0.006 0.008 0.01 0.012

Strain

Str

ess

(M

Pa

)

EP

Elastic25%

Baseline Shape

Optimized Shape

Leads to significant improvement in fatigue life

25% reduction in strain

Page 29: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 291. Dresdner-Probabilistik-Workshop

Engine Compressor Blade Optimization

� Challenge

• Increase pressure ratio of radial compressor

through optimized blade design

� Solution

• CFD optimization using HyperStudy

• Shape optimization with morphing

• Objective: maximize pressure relation between inlet and outlet

� Results

• 5.6% increase in pressure ratio, which leads to

better fuel efficiency and higher engine power

“Including HyperWorks and CFD in the design process cuts development time and enables us to perform automated design and optimization studies.”

Dr. Mario Dittmann, MTU Friedrichshafen GmbH

Page 30: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 301. Dresdner-Probabilistik-Workshop

Optimization and Reliability Analysis of a Mars Lander

ESA Aurora Exploration Program Launch in

2011 or 2013

New Lander Design Concept

� Vented airbag, coming to rest on 2nd bounce

� Traditional concepts come to rest after 10 to 20 bounces

Failure modes

� Roll-over (payload overturns),

� Dive-through (payload impacts rock)

� Rupture (fabric tears)

Full scale terrestrial testing expensive/difficult: Therefore virtual design approach

Page 31: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 311. Dresdner-Probabilistik-Workshop

Optimization and Reliability Analysis of a Mars Lander

Page 32: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

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Reliability Study: Range of Conditions

Only rock impact load case considered

Controlled/Uncontrolled conditions

� Wind speed (Weibull)

� Rock Height (Exponential)

� Lander pitch attitude (+/- 20 deg)

� Lander pitch rate (+/- 30 deg/s)

Probability Density Function f(H)

0.0000

1.0000

2.0000

3.0000

4.0000

5.0000

6.0000

7.0000

0.000 0.200 0.400 0.600 0.800 1.000 1.200 1.400 1.600 1.800

Rock Height H (m)P

rob

ab

ilit

y D

en

sit

y (

m^

-1)

k = 10%

k = 20%

k = 30%

Page 33: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

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Results

Design Variable Change

OptimizedResponses

Page 34: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

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Optimization and Reliability Analysis of a Mars Lander

Page 35: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 351. Dresdner-Probabilistik-Workshop

AGENDA

� Company Overview

� HyperWorks – A Platform for Innovation

• HyperWorks Overview

• Altair HyperWorks Morphing Technology

• Design Studies with solver-neutral

Software Altair HyperStudy

� HyperWorks Applications

� Summary

� Q&A

Page 36: Altair HyperWorks -  · PDF fileTitle: 2008.10.09-ProbabilistikWorkshop_final-pdf Author: schlotz Created Date: 10/7/2008 4:08:41 PM

Copyright © 2008 Altair Engineering, Inc. All rights reserved. Altair Proprietary and Confidential Information 361. Dresdner-Probabilistik-Workshop

Summary

� Deep Knowledge of CAE Design Processes

• CAE Process Automation / Integration

• How to Best Exploit CAE Software and Methods

• Provide Mentoring and Best Practices – Comfortable with Technology Transfer

� HyperWorks, Integrated Suite of CAE Tools to Drive Product Innovation

• HyperMesh: Highly Advanced Preprocessor Increasing your Efficiency

• BatchMesher: Fully Automated Geometry Cleanup and Shell Meshing

• HyperMorph: Allowing Rapid Design Changes Resulting in Dramatic Cost Savings

• HyperStudy: DOE, Multi-disciplinary Optimization and Stochastic Simulation Engine

� Altair is a Reliable Business Partner – Exhibiting Strong Growth

• Flexible HyperWorks Licensing Concept Reducing Software Costs

• Passing on Business Benefits to Customer, e.g. HyperWorks Enabled Partner

Program

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Another Morphing Example

Thank You For Your Attention!

� Q&A