dynamic software & engineering

Software & Consulting

Sensitivity Analysis Multidisciplinary Optimization Multiobjective Optimization Robustness Evaluation Reliability Analysis Parameter Identifi cation Model Calibration Dynardo GmbH

optiSLang SoS ETK LEONARDO DA VINCI dynamic software & engineering

Without reason, no eff ect is produced in nature; understand the reason and you will not need experience. from Leonardo da Vinci’s „Codice Atlantico“

DYNARDO GMBH

The Dynardo GmbH develops software for CAE-based sensitivity analyses, robustness evaluations and Robust Design Optimizations. Additionally Dynardo offers, in cooperation with worldwide distributors, an extensive support and training program. The range of services also includes consulting and simula- Tasks, tion services in virtual product development. Ideas, Solutions History & Expertise The Dynardo GmbH was founded in 2001 as a company for Dynardo’s engineering expertise and software products software development and engineering computing services enable fast and effi cient solutions of your tasks. Through with three partners and two employees in Weimar. With close cooperation with renowned research institutions and unique features such as complex non-linear fi nite element international partners, Dynardo has an extensive network computations in geomechanics and civil engineering as well of experts to respond fl exibly to worldwide customer re- as RDO in virtual product development, Dynardo has suc- quirements. cessfully established itself in the CAE-market. The fi rst op- tiSLang version was released in 2002 and has since evolved into a leading CAE software platform. Today, Dynardo runs 3 branches in Weimar, Vienna and San Francisco to help you meet the challenges of virtual product development.

Philosophy Leonardo da Vinci was not only a great artist, but also a tion enables an appropriate analysis of system properties for visionary engineer and scientist. He loved to explore phe- the solution of RDO tasks. For this purpose, on the basis of nomena by experimenting in order to understand and to statistical, mathematical and bionic optimization algorithms, infl uence their appearances. He conducted his research with the Dynardo GmbH develops effi cient methods and powerful great precision and comparative systematics and found his software solutions. way from individual cases to general knowledge. Dynardo sees itself in this way of thinking. In search of optimal solutions, the process of CAE-based Robust Design Optimization (RDO) or a thermal-hydraulic-mechanical analy- sis identifi es and evaluates a variety of input and output vari- ables as well as objective parameters. The resulting informa-

www.dynardo.de 1 Software

OPTISLANG®

Since its market launch in 2002, optiSLang has evolved into one of the leading software solutions for CAE-based virtual product optimization. With user-friendly workfl ows and effi cient methods for model calibration, sensitivity analysis and Robust Design Optimization (RDO), optiSLang contributes to shorten development time and optimize products.

Concept automatically fi ltered in order to create optimal correlation Robust Due to the need to further optimize product performance models. Such a Metamodel of Optimal Prognosis (MOP) rep- and resource consumption while reducing development time, resents the most important correlations between parameter RDO is becoming more and more a key component in virtual variation and result variables and can be used as a surrogate product development. With automated RDO workfl ows, you in CAE calculations for optimizations and robustness evalua- Design can shorten your manufacturing process and achieve optimal tion or in digital twins. optiSLang’s MOP technology also en- product properties according to quality requirements. sures the best possible correlation models with a minimum number of CAE calculations for many parameters, as well as non-linear and noisy tasks. Based on the sensitivity analysis, Application the modules for optimization and robustness and reliability Optimization optiSLang enables you to automate simulation processes evaluation minimize the necessary user input and suggest and perform RDO analyses with drag & drop workfl ows and effi cient algorithms for further analysis. ® a minimum of user input. Existing simulation processes from RDO with optiSLang any CAE programs or pre- and postprocessors can be inte- grated into optiSLang and made accessible to a parametric Technical features sensitivity analysis, optimization or robustness evaluation. • User-friendly drag & drop modules for process integra- In the sensitivity module, relevant input parameters are tion, sensitivity analysis, metamodeling, optimization, robustness and reliability evaluation • Interfaces to important CAD/CAE solvers (ANSYS, Abaqus, NX and many more) • Interfaces to Excel, Matlab, system simulation and PLM RDO means to explore the limits of product performance, which might be systems associated with risks. What would be your benefi t if you knew to what ex- • Minimal setup effort tent your product development comes close to a reliable economic optimum • Automatic reduction to the most important input pa- taking into consideration all of the potentially affecting uncertainties and rameters tolerances? How robust is your design in reality? Dynardo supports your • Automatic generation of Metamodels of Optimal Prognosis virtual product development with effi cient model calibrations, sensitivity • Minimization of solver calls analyses, optimizations and robustness evaluations. • Best practice defaults for optimization, robustness, and reliability algorithms Graphical user interface optiSLang 4 • Interactive, intuitive postprocessing

2 www.dynardo.de 3 Variation Analysis

OPTISLANG – GENERAL PURPOSE TOOL FOR VARIATION ANALYSIS

Sensitivity analysis, optimization and robustness evaluation based on multiple designs, measurement or observation points with a minimum of user input and solver runs for an effective virtual product development.

A U T L T S O M A F A U T E D E D • Identifi cation of the relevant input parameters and L M A O response values based on sensitivity analysis M D • Stochastic sampling (LHS) for optimized scanning T I U P L • Pre-optimization of the parameter sets with MOP of multi-dimensional parameter spaces A O R without additional solver runs

• Quantifi cation of prognosis quality (CoP) of meta-models • Further optimization of the parameter sets with the most

• Generation of the Metamodel of Optimal Prognosis (MOP) appropriate algorithms (Best-Practice-Management)

A R I A V T I O E R N SENSITIVITY T E OPTIMIZATION M ANALYSIS A R A P

L CAE-Data A

M I Optimal Design

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M

Optimal Design

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S

S

S

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Measurement V

Data E

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MODEL CALIBRATION R

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• Find the best fi t for simulation and measurement S • Effi cient methods of stochastic analysis for the

determination of failure probabilities

• Evaluation of result value variation

Coeffi cient of Prognosis (CoP)

• Identifi cation of the relevant scatter input parameter

The CoP quantifi es the forecast quality of a meta-model (re-

gression model) for the prognosis of a result value.

ROBUSTNESS EVALUATION

Metamodel of Optimal Prognosis (MOP) evaluated with different meta-models. Thus, a No Run Too

The MoP represents the meta-model with the best progno- Much-strategy will be implemented with with a maximum sis quality of the result value. For the determination of the of prognosis quality regarding the given number of design MOP, different subspaces of important input variables are evaluations.

4 www.dynardo.de 5 ANSYS optiSLang

ANSYS Workbench plugin Workbench node for optiSLang integration for ANSYS integration in ANSYS in optiSLang optiSLang® CAx-Data Workflow Combining powerful parametric model Management Sensitivity capabilities with Robust Design Optimization Robustness Model Calibration Sensitivity Analysis Optimization Optimizer Robustness Evaluation Reliability Measurement Data

CAx 3rd party ANSYS OPTISLANG Management (SPDM) and Data Process Simulation Management (SPDM) and Data Process Simulation Excel® Add-in Other Solver Post Processing ANSYS optiSLang combines leading simulation technology of ANSYS with optiSLang’s powerful capa- bilities in variation analysis and process automation. By building CAx workfl ows for automatic design variation studies, products can be optimized and developed in less time. ANSYS optiSLang simulation environment including optiSLang‘s effi cient algorithms and tools for variation analysis workfl ows

Modes of interoperability with ANSYS The process integration and workfl ow building capabilities traints and the objectives. optiSLang automatically identi- via ANSYS via optiSLang of optiSLang offer a distinguished support of ANSYS simu- fi es the most important parameter and generates the cor- 1 Workbench plugin process integration node lation tools. There are modes to integrate ANSYS tools into relation model. Afterwards, a Best-Practice-Management 2 optiSLang workfl ows and to use optiSLang modules within selects the appropriate methods for optimization and ro- the ANSYS Workbench: bustness evaluation. The options for parallel computing at several cores with • In ANSYS Workbench: the optiSLang Workbench plugin ANSYS Remote Solve Manager and the use of ANSYS HPC makes optiSLang technology available inside the power- Pack Parametric Licenses for simultaneous computing of ful simulation platform different designs are supported. The plugin also includes a • Text-based integration (ANSYS APDL) for combining AN- robust handling of design failures within the ANSYS work- SYS with other CAE / CAD tools for process automation bench. All successful designs are stored in optiSLang’s da- and workfl ow generation tabase and can be used and postprocessed independently via optiSLang • ANSYS Workbench node: The direct integration node from the ANSYS Workbench design table. 3 ANSYS Workbench node enables the use of ANSYS Workbench projects in optiS- Lang workfl ows General features of the Workbench Plugin • Reduction of the number of CAE solver runs • Automatic identifi cation of important parameters during a ANSYS Workbench plugin sensitivity analysis The optiSLang plugin toolbox contains modules for process • Automatic buildup of best possible correlation models integration, sensitivity analysis, optimization and robust- (MOP) ness evaluation. An input wizard supports you in defi ning • Multidisciplinary and multiobjective optimization the modules and enables an optimal solution strategy with • Robustness evaluation Modes for integrating ANSYS simulation and optiSLang using the example of an electric motor minimal user input. Therefore, the optiSLang integration • Insightful and effi cient result post-processing module can be easily started with drag and drop functionality. The • Support of non-scalar responses (vectors, curves, signals) user only needs to set up the variability space, the cons-

6 www.dynardo.de 7 Software

MULTIPLAS FOR ANSYS multiPlas provides you with the material models for ANSYS to conduct non-linear FE-calculations in Stability analysis of dams using a 3D model civil engineering, geomechanics and structural mechanics.

Concept Application multiPlas allows you to analyze the stability and service- The range of application includes nonlinear masonry or • Modifi ed Drucker-Prager concrete model (e.g. for con- ability of structures regarding, e.g. the formation of cracks concrete/reinforced concrete calculations as well as the crete, steel and fi bre reinforced concrete, lime sand brick, and load shifting. Additional load bearing capacities can simulation of nonlinear construction-ground interactions ceramics, lightweight concrete, aerated concrete) often be explored by calculating failure states. multiPlas in land or water foundations. In addition, various stability • Mentrey-William concrete model (e.g. for concrete, steel supports material modeling for concrete, steel and fi bre re- calculations of structures on or in the ground as well as in reinforced concrete, UHPC) inforced concrete, ultra high performance concrete (UHPC), rock can be carried out. • Ganz (e.g. for masonry) ceramics, steel, masonry, jointed rock, soil, sand, timber, Using multiPlas and the ANSYS post-processing, besides • Tsai / Wu (e.g. for timber material) mortar and stone. The constitutive equations of the mate- the plastic strain, you can also process the plastic activities. • Orthotrophic maximum strain limit (e.g. for timber) rial models are based on isotropic and anisotropic elasto- They represent the fl ow condition being active in the re- • Nominal tensile stress limit plastic fl ow functions. The associated and non-associated spective area of the structure. The type and cause of the • Crack models (e.g. for general brittle materials) fl ow rules can be optionally defi ned with hardening or soft- load shifting can be derived from this information. • User defi ned material models ening criteria. The FE-implementation is characterized by an effi cient In multiPlas, e.g. the following material models are included: Using the material models in multiPlas the following phe- and high-performance algorithm for processing single and • Tresca (e.g. for steel) nomena can be analyzed: multi-surface plasticity. A special feature of the material • Mohr-Coulomb, isotropic (e.g. for soil, intact rock, natural • Isotropic / anisotropic elasto plasticity Analysis of the crack and load bearing capacity of fi ber-reinforced concrete models is the easy combination of several fl ow conditions stone masonry) • Associated / non associated plasticity, scattering of the structures and failure modes along with hardening or softening crite- • Mohr-Coulomb Joint Modell, anisotropic (e.g. for sepera- dilation behavior ria. An adaptive algorithm ensures the consistent integra- tion planes, joint) • Hardening and softening, non linear stress and strain tion of multi-surface fl ow and failure conditions and guar- • Mises (e.g. for steel, various metal) behavior antees convergent solutions as long as possible. • Extended Drucker-Prager model (e.g. for soil, sand) • Residual strength, tearing • Frederick Armstrong - Voce Model (e.g. for cyclic loading of • Deterioration material, Bauschinger-Effect) • Temperature dependence

8 www.dynardo.de 9 Software

SoS – STATISTICS on STRUCTURES

Your software for post-processing spatially distributed statistical data and analysis as well as simulation Graphical User Interface of random effects on fi nite element structures.

Concept Manufacturing tolerances, material scatter, random loads In combination with optiSLang, you can identify non-linear • Processing of failed designs, statistical outliers and eroded or other stochastic effects cause scattering properties of correlations between input and output variables. The com- elements (e.g. during cracking) components or structures usually with spatial distribution. patibility of binary fi les ensures a direct integration of SoS To ensure product quality, to avoid recalls or to fulfi ll safety into optiSLang. requirements, you can consider these random effects by us- In addition, SoS offers you the possibility to generate spa- ing appropriate statistical models and methods already in tial fi elds from measurement data, e.g. random geometry the design phase. deviations, scattering shell or layer thicknesses, and subse- SoS supports your design process by identifying random quently use them as random fi eld parameters. Thus, spa- fi elds and the visualization of scatter shapes. Thus, you can tially scattering product properties or loads can be consid- locate areas with a high probability of failure or variation ered as stochastic input variables within the framework of („hot spots“) and identify the causes of the scatter. a numerical robustness evaluation.

Application Technical features • Import and export of FE fi eld data (element data or node As a post-processor, SoS enables you to: data) of multiple samplings • Visualize statistical parameters and robustness measures • Visualization of single design and statistical result values on the fi nite element mesh • Identifi cation and visualization of scatter shapes and their • Identify and visualize scattering of result values amplitudes • Script-based re-evaluation with changed input data • Batch processing on Linux server Postprocessing Scatter shapes

10 www.dynardo.de 11 Software

ETK – EXTRACTION TOOL KIT

The Extraction Tool Kit allows you a simple and convenient extraction and processing of simulation Parameter selection results for an optimization or stochastic analysis.

Concept Technical features The automated processing of simulation results is an impor- • Batchable extraction of response parameters tant part of parametric design studies. In the past, an auto- • Data export of ASCII, Excel, CSV mated and batchable extraction of response variables and • Scalar, vector operations and signal processing their processing to meaningful results was often associated • Mathematical basic functions with extensive programming. To minimize your time and ef- • Trigonometric functions fort in setting up a CAE process chain, Dynardo has developed • Linear algebra the GUI-based Extraction Tool Kit (ETK). • Signal functions • Macro defi nition • Interface to ADAMS, Abaqus, ANSYS, MADYMO and gen- Application eral TEXT-Files ETK provides a GUI mode for result defi nition and math- • Interface to optiSLang for result export ematical functions for the processing of scalar result vari- • Boolean operations and conditions ables, vectors or signals. The ETK module is available within optiSLang or ANSYS Workbench as well as a standalone ver- sion. This allows maximum fl exibility in data extraction.

Extraction of ANSYS result values Extraction of Adams result values

12 www.dynardo.de 13 Consulting

The use of the software products optiSLang, SoS and ETK enables a cost-effective virtual product development and optimization. The consulting team supports you in model generation and simulation with ANSYS or LS-DYNA. With material models in multiPlas, we also offer you specialized expertise for nonlinear calculations in structural mechanics, civil engineering and geomechanics.

References CONSULTING Automotive Engineering Energy Technology Dynardo‘s consulting team provides computational services and customized solutions for your virtual • Stiffness, strength and NVH optimization of lightweight • Static and dynamic FE-calculations product development and evaluation. With its excellent know-how as a service provider and software structures (CFRP, aluminum, etc.) for optimization tasks • Foundation analysis for wind turbines developer, Dynardo is your competent and fl exible partner for complex CAE tasks. with many design variables • Calculations to optimize gas production or heat exchang- • Robustness evaluation of forming processes ers of geothermal power plants • NVH optimization for driving comfort • Numerical prediction of friction induced vibrations for Consumer Goods Industry noise reduction of brake systems • Sensitivity analysis, robustness evaluation, design optimi- • Robustness evaluation of crashworthiness zation and reliability analysis for the virtual development of a variety of products Civil Engineering and Geomechanics • Simulation and calculation of drop tests and shock pro- • Calculation and development services for the verifi cation cesses of stability and serviceability of structures with the help of FE (Finite Element) analysis Aerospace Industry • Development and calibration of effi cient simulation mo- • Non-linear dynamic structural analysis dels for analysis, optimization and robustness evaluation • Simulation of random load cases and stochastic loads of supporting structures • Material simulation of stress, stability and fatigue analysis • Development, calibration and implementation of innova- • Robustness evaluation tive special material models in ANSYS and multiPlas • Simulation of shock processes within supporting structures Biomechanics • Thermal-hydraulic-mechanical coupled FE analysis for the • Optimization of material parameters for implants simulation of interactions withing rock and soil formations • Simulation and calculation of processes for patient-specifi c • Virtual product development and optimization of materi- fracture treatment als and components • Optimization of stent systems

Mechanical and Process Engineering Electrical Engineering • Structural-dynamic FE calculation • Simulation of high-frequency electromagnetism for opti- • Parameter identifi cation mizing the signal transmission • Verifi cation and calibration of fi nite element models • Sensitivity stress analysis of electronic components in the • Linear and nonlinear stability analysis automotive industry • Thermo-mechanical analysis • Simulation of the acoustic behavior of electrical drives • Calculation of fatigue strength • Prediction of failure evolution

www.dynardo.de 15 Consulting

Calculation and visualization of the hydraulic conductivity of the stimulated rock body in jointed rock

Geothermal energy / oil and gas production Dynardo’s simulator for hydraulically or thermally induced bration and optimization, the numerical effi ciency of the crack formation couples complex nonlinear material mod- calculations is increased by using homogenization methods els in multiPlas with parametric multiphysical modeling in of continuum mechanics. ANSYS. This enables the simulation of crack evolution and particle transport. For a predictive simulation model, e.g. for the implementation of a geothermal heat exchanger or THM-coupled FE-analysis for oil and gas production, it is crucial that the numerous A decisive function of the THM simulator is the identifi ca- unknown reservoir parameters can be determined and cali- tion of the most infl uencing parameters for a THM coupled brated with measurements. This is achieved by coupling the simulation in a geomechanical task. By comparing mea- THM simulator with optiSLang. After a successful calibra- sured and simulated results, you can identify these param- ® ® multiPlas / optiSLang / ANSYS – THM Simulator tion with all available measurement data, the THM simu- eters with the help of a THM coupling and gain a better lator can be used for optimizations (e.g. hydraulic stimula- understanding of the correlations. This enables a compre- With this effi cient simulator, you have the software base for the calculation of coupled Thermal-Hydraulic- tion) or for ensuring the integrity of deposits. Since several hensive approach and optimized solutions for complex en- Mechanical (THM) tasks in geomechanics. hundred calculations are often required for validation, cali- gineering tasks.

Combining multiplas, optiSLang and ANSYS, we provide you a highly effi cient modeling approach for the three-di- mensional simulation of hydraulic fracturing or other THM- interactions in geomachanics. Due to high-performance calibration and optimization algorithms, you can use the simulator to optimize the hydraulic crack formation of res- ervoirs for oil and gas production, to ensure the integrity of radioactive material deposits or to generate heat exchang- ers for petro-thermal geothermal power plants.

www.dynardo.de 17 NETWORK & PARTNER

An international network of experts supports our innovative software development and customer-oriented consulting service. Together, we are your competent partner for complex analysis and optimization tasks in the CAE-fi eld.

ANSYS Inc. | www.ansys.com inuTech GmbH | www.inutech.de ANSYS is the world‘s leading provider of CAE software. The inuTech GmbH has extensive expertise in mathematical REFERENCES Dynardo‘s material models for nonlinear calculations in civil optimization. The company developed gradient-based meth- engineering and geotechnics are integrated into ANSYS me- ods for the implementation into optiSLang. Companies such as Daimler, Bosch, Siemens, Shell and many more use our software products and cus- chanical. ANSYS distributes optiSLang worldwide as part of tomized solutions in CAE-based product development. the software portfolio. Our Berkeley offi ce cooperates closely Bauhaus-Universität Weimar | www.uni-weimar.de with ANSYS to support our North American customers. The Institute of Structural Mechanics at the Bauhaus Uni- versity in Weimar is our renowned partner in the develop- CADFEM GmbH | www.cadfem.de ment of innovative methods for stochastic analysis and FE CADFEM GmbH is the leading provider of CAE software in calculations. German-speaking countries and is a shareholder and busi- There is also a close cooperation with the Institute of ness partner since Dynardo was founded. CADFEM orga- Computer Science and Media at the Weimar Bauhaus-Uni- In the uncomplicated and fl exible cooperation with Dynardo, Since 2010, Shell has been cooperating with Dynardo to deve- nizes the distribution of Dynardo’s software products in versity. Especially with the Department of Virtual Reality it is a great advantage that the company is not only a soft- lop and to implement successfully a simulation based work- the European markets as well as in India. This cooperation and Visualization Research of Prof. Dr. Bernd Fröhlich, in- ware developer but also an engineering service provider. Di- fl ow for the optimization of oil and gas production at uncon- enabled the successful integration of optiSLang into ANSYS novative visualizations for the geo-postprocessing of optiS- rect communication with the programers and individual li- ventional reservoirs. Key factor for success is the excellent and Workbench. Lang are created. cense agreements ensure a rapid adaptation and extension reliable consulting service of Dynardo as well as the company’s of the software optiSLang to specifi c technical requirements powerful software tools. The FEM based hydraulic stimulation TechNetAlliance | www.technet-alliance.com Dortmund University | www.fh-dortmund.de of Robert Bosch GmbH. simulator as well as the software optiSLang are sophisticated The Technology Network Alliance AG, consisting of more Together with the Department of Mechanical Engineering Roland Schirrmacher (Robert Bosch GmbH) workfl ow environments to calibrate simulation models and than 2,500 experts and 55 companies, is a professional and at the Dortmund University of Applied Sciences, methods Corporate Sector Research and Advance Engineering to generate metamodels for connecting hydraulic fracturing international network in the fi eld of CAE-based services of robust design optimization are developed in turboma- Future Mechanical and Fluid Components (CR/ARF1) simulations with related production costs and risk manage- and software solutions. chinery and are practically applied. ment. The workfl ow has been effectively applied worldwide at major unconventional oil and gas assets of Shell. NAFEMS | www.nafems.org Niederrhein University | www.hs-niederrhein.de Taixu Bai (Shell Exploration & Production Company USA) NAFEMS is a worldwide network of companies in the fi eld In cooperation with the Institute of Mechanical and Process In the framework of the virtual product development process Completion & Technology Effectiveness Team of engineering analysis and simulation. With over 1,000 Engineering at the Niederrhein University, further methods of of the Daimler AG, parametric CAE-models are employed for members, NAFEMS unites well-known manufacturers from the application of robust design optimization are developed. the evaluation and optimization of different functional re- all industries, software developers, consultants and aca- quirements like driving comfort or crashworthiness behavior. demic institutions. Robust dimensioning means to design a vehicle which is as insensitive as possible in regard to existing scatter in mate- EDR & Medeso AB | www. edrmedeso.com rial or production properties. In order to ensure robustness EDRMedeso is a Scandinavian service and software provider within the virtual prototyping, in 2002, Daimler started im- in the fi eld of CAE-based product simulation. The company plementing optiSLang for NVH analysis of driving comfort. is our software distribution partner for Northern Europe. Since then, applications have been extended to crashworthi- ness, brake squeal load cases as well as forming simulation.

18 www.dynardo.de 19 WELCOME TO

SERVICE & TRAINING

Dynardo provides simulation services and customized solutions for your FE analyses and CAE optimization in virtual product development. Due to the combination of being a CAE consulting company and software developer, Dynardo is your competent and fl exible partner for complex tasks in the CAE fi eld.

Technology Implementation Projects RDO Consulting Service Especially for the introduction of CAE-based Robust Design If customers have not yet implemented a CAE-based deve- Optimization in product development processes, a pilot lopment process but would like to benefi t from the potenti- project based on the customer‘s product knowledge and als for their product lines, we offer the generation and veri- Dynardo’s consulting experience would be an adequate fi cation of virtual product models as well as the conduction initial cooperation. Dynardo offers expertise in various in- of a CAE-based optimization as a consulting service. The dustrial fi elds helping you to conduct a realistic safety and metamodeling methodology will show you possible opti- reliability analysis. We will further support you in proper mized product confi gurations and will explain how input assessments of material behavior, the prediction of failure variation affects the design responses. evolution, design optimization or simulation of FEM based ANNUAL WEIMAR limit load analysis. Getting Started and Advanced Training OPTIMIZATION AND STOCHASTIC DAYS For a competent and customized introduction to our software Customization products, visit our basic or expert training clearly explaining Your conference for CAE-based parametric optimization, stochastic analysis and Robust Design Optimization You want to economize your virtual product development? theory and application of a sensitivity analysis, multidiscip- in virtual product development. Dynardo provides you with customized solutions based on linary optimization and robustness evaluation. The training our software optiSLang and Statistics on Structures (SoS). addresses all engineers and decision makers involved in the We integrate your in-house software into optiSLang or im- development process and product life cycle. plement optiSLang as part of your company SPDM (Simula- Furthermore, our internet library is the perfect source for tion Process & Data Management) solution. Even fully au- your research on CAE-topics and applications of CAE-based The annual conference aims at promoting successful appli- Take the opportunity to obtain and exchange knowledge tomatized workfl ows to optimize your products regarding RDO. There you will fi nd practical references and state-of-the- cations of parametric optimization and CAE-based stochas- with recognized experts from science and industry. specifi c customer requirements can be generated. We help art case studies matched to the different fi elds of methods tic analysis in virtual product design. The conference offers you to establish a company-wide standard workfl ow and and industrial applications. focused information and training in practical seminars and You will fi nd more information and current dates at: make your products benefi t from consistent and effi cient interdisciplinary lectures. Users can talk about their experi- www.dynardo.de/en/wosd. CAE processes. For detailed information please visit our website: ences in parametric optimization, service providers present www.dynardo.de. their new developments and scientifi c research institutions We are looking forward to welcoming you to the next Weimar inform about state-of-the-art RDO methodology. Optimization and Stochastic Days.

20 Contact & Distributors

Worldwide Austria India CADFEM (Austria) GmbH CADFEM Engineering Services India Dynardo GmbH Vienna Hyderabad Steubenstraße 25 www.cadfem.at www.cadfem.in 99423 Weimar Switzerland Phone: +49 (0)3643 9008-30 CADFEM (Suisse) AG USA Fax.: +49 (0)3643 9008-39 Aadorf www.dynardo.de www.cadfem.ch CADFEM Americas, Inc. [email protected] Farmington Hills, MI Czech Republic, Slovakia, Hungary www.cadfem-americas.com Dynardo Austria GmbH SVS FEM s.r.o. Offi ce Vienna Brno-Židenice Ozen Engineering Inc. Wagenseilgasse 14 www.svsfem.cz Sunnyvale, CA 1120 Vienna www.ozeninc.com www.dynardo.at Sweden, Denmark, Finland, Norway [email protected] EDR & Medeso AB USA/Canada Västerås SimuTech Group Inc. Dynardo US, Inc. www.edrmedeso.com Rochester, NY 315 Montgomery Street www.simutechgroup.com 9th and 10th Floor United Kingdom of Great Britain and San Francisco, CA 94104 Northern Ireland Japan USA CADFEM UK CAE Ltd TECOSIM Japan Limited www.dynardo.com Croydon, Surrey Saitama [email protected] www.cadfemukandireland.com www.tecosim.co.jp

Ireland Korea CADFEM Ireland Ltd TaeSung S&E Inc. Worldwide distribution of Dublin Seoul ANSYS optiSLang www.cadfemukandireland.com www.tsne.co.kr ANSYS, Inc. Canonsburg Turkey China www.ansys.com FIGES A.S. PERA-CADFEM Consulting Inc. Istanbul Beijing Worldwide distribution of www.fi ges.com.tr www.peraglobal.com optiSLang LightTrans GmbH North Africa Jena CADFEM Afrique du Nord s.a.r.l. www.lighttrans.de Sousse www.cadfem-an.com

Germany Russia CADFEM GmbH CADFEM CIS Grafi ng b. München Moscow www.cadfem.de www.cadfem-cis.ru

Publication details

Publisher Dynardo GmbH Steubenstraße 25 99423 Weimar www.dynardo.de Publication [email protected] worldwide

Executive Editor & Layout © Images Henning Schwarz Fotolia: p.8 / p. 16-visdia / p. 17 oben-mahey [email protected] Claystone@wikimedia: p. 17 bottom-Qfl 247 CADFEM GmbH: p. 19 Registration Local court Jena: HRB 111784 Copyright © Dynardo GmbH. All rights reserved VAT Registration Number The Dynardo GmbH does not guarantee or warrant accuracy or DE 214626029 completeness of the material contained in this publication.