TUM. The Entrepreneurial University. · 1967 TUM School of Medicine, University Hospital 1970...

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TUM. The Entrepreneurial University.

COME Welcome

2018Prof. Fabian DUDDECK

[email protected]

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1868

King Ludwig II

founded

„Polytechnische Schule“

Pinakothek der Moderne

The Origin

1868 King Ludwig II founds the "Polytechnic School"

1877 "Technical University"

1901 Right to Award Doctorates

First Doctoral Candidate: Georg Hauser (Chemistry)

1905 Admittance of Female Students

First Female Doctoral Candidate: Amalie Baur (Chemistry)

1930 Integration of the College of Agriculture and Brewing in

Weihenstephan

1957 First Neutron Research Reactor in Germany

1967 TUM School of Medicine, University Hospital

1970 Presidential Constitution, "Technische Universität München"

1999 TUM‘s University Reform started,

Entrepreneurial University Constitution

2000 TUM School of Life Sciences Weihenstephan (Matrix Structure)

2000 Foundation of the COME programme

2002 TUM Branch in Singapore: TUM. Asia Pte. Ltd.

TUM School of Management

Department of Sport and Health Sciences

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Milestones

2004 High-Flux Research Source Heinz Maier-Leibnitz

2005 TUM Institute for Advanced Study (IAS)

2006 TUM elected "University of Excellence"

TUM International Graduate School of Science and Engineering

(IGSSE)

2009 TUM School of Education

TUM Graduate School

2010 TUM University Foundation

Munich School of Engineering (MSE)

2012 TUM again elected "University of Excellence"

Munich Center for Technology in Society (MCTS)

2014 Hochschule für Politik München – Bavarian School

of Public Policy

2015 Munich School of Bioengineering

2018 150 years jubilee Technical University of Munich

2018 Your start here at the TUM

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Milestones

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Selected Nobel Laureates

Heinrich O. Wieland1927, Chemistry

Hans Fischer1930, Chemistry

Rudolf L. Mößbauer1961, Physics

Ernst Otto Fischer1973, Chemistry

Klaus von Klitzing1985, Physics

Robert Huber1988, Chemistry

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Inventors, Engineers, Entrepreneurs

Oskar von MillerStorage Power Plants

Walchensee Power Plant

German Museum

Carl von LindeRefrigeration Engineering

Linde‘s Refrigeration Machines

Air Liquefaction

First University Spin-off

Rudolf DieselCombustion Engine Development

Diesel Engine (MAN)

Claude DornierAircraft Construction

Amphibious Aircraft

Willy MesserschmittAircraft Construction

First production-ready Jet Aircraft

Heinz Maier-LeibnitzNeutron Research

"Atom-Ei"

• Basic Researchunderstanding the world

• Applied Research shaping the world

• Method-Oriented Trainingprovide theoretical principles

support practical orientation

• Structured Training for Graduates:

TUM Graduate Schoolreach subject-specific depth

open a general horizon

• Innovation Culture – TUMentrepreneurshipacquire entrepreneurial thinking and acting

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University: Product of Research and Teaching

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International Rankings

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https://www.tum.de/en/about-tum/our-university/rankings/

14 Departments

390 Buildings

178 Degree Courses

41 000 Students, 35% female, 27% international

13 100 Freshman Students

9 500 Graduates per year

> 1 000 PhD Theses per year

~ 7 000 Publications, peer-reviewed per year

546 Professors (incl. hospital)

6 500 Scientific Staff (incl. hospital)

3 300 Non-Scientific Staff (not incl. hospital)

90 ERC Grants (since 2008)

42 Humboldt Senior Research Fellows (2012-16)

17 Nobel Prize Laureates

18 Leibniz Laureates (DFG)

6 Humboldt Professors

> 1 000 Research Agreements p.a.

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Key Data

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Students

2000 2005 2010 2017

+110%

40 000

35 000

30 000

25 000

20 000

40 841

26 302

20 45819 454

0 1.000 2.000 3.000 4.000 5.000

Munich Center for Technology in Society

TUM School of Governance

TUM School of Education


Informatics

Mechanical Engineering

Electrical and Computer Engineering

Civil, Geo and Environmental Engineering

Architecture

Munich School of Engineering

Sport and Health Sciences

TUM School of Medicine

TUM School of Life Sciences Weihenstephan

Chemistry

Physics

Mathematics

German Students WS 17/18

International Students WS 17/18

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Students by Departments

51%

34%

Natural Sciences

Life Sciences

Medicine

Management

Education

Social Sciences

Humanities

Engineering

1 000 2 000 3 000 4 000 5 000

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Locations

Airport

Klinikum

Campus Garching

Martinsried

MPI-BiozentrumGroßhadern

CampusMünchen

Campus

Freising- Weihenstephan

Garching

Olympiapark

München

Klinikum Rechts der Isar

(University Hospital)

Freising-Weihenstephan

Sport and Health Science

Olympiapark

Pasing

Pasing, cbm

Civil, Geo and Environmental

Engineering

Architecture

Electrical and Computer Engineering


TUM School of Education

TUM School of Governance

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TUM. Munich Campus

Chemistry

Physics

Informatics

Mathematics

Mechanical Engineering

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TUM. Garching Campus

TUM School of Life Sciences

Weihenstephan

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TUM. Weihenstephan Campus

Sport and Health Sciences

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TUM. Olympic Park Campus

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TUM. Medicine

German Heart Center MunichUniversity Hospital Klinikum rechts der Isar

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Locations in Bavaria

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European Metropolitan Region MunichResearch Network

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European Metropolitan Region MunichResearch Network

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Industry Network

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Partners of Excellence

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Global: Globalization through Localization

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TUM.Global

Planet EarthEnvironment

InfrastructureConstruction

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TUM. BGU Department embedded in TUM

1. Construction 3. Geodesy

2. Mobility &

Transportation Systems

5. Modelling,

Simulation,

Processes4. Hydro- &

Geoscience

Focus-Areas

2018-10-08 [email protected]

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TUM. Programs (BGU)

4 BSc - programs

12 MSc – programs (7 international programs)

532 courses (lectures, seminars, tutorials,…)

MSc Civil Engineering

BSc Civil Engineering

BSc Environmental Engineering

MSc Environmental Engineering

MSc Computational Mechanics

MSc Transportation Systems

MSc ESPACE

MSc Energy Efficient and

Sustainable Buildings

MSc Land Management and Land Tenure

MSc Cartography (together

with TU Vienna, TU Dresden,..)BSc Geodesy and Geoinformation

BSc Earth Sciences (together with LMU)

MSc Engineering

Geology & Hydrogeology

MSc Geodesy and Geoinformation

Eng

GuG

Geo

MSc Transportation and Logistics (GIST - TUM Asia)

MSc Earth Sciences

(together with LMU)


TUM. Department of Civil, Geo, and

Environmental Engineering

(Courses)

COME

and

BGCE


TUM. M.Sc. Computational Mechanics

• The M.Sc. Computational Mechanics was founded in 2000

by the Faculty Civil, Geo and Environmental Engineering

• It aims for educating experts for industry and academia in

the field of computational methods in mechanics for all

areas of engineering.

Logo by COME students 2011/12

• http://www.come.tum.de


• Generally, the lectures are offered at the central campus.

• The main chairs involved are:

- Chair of Structural Mechanics, Prof. Gerhard MÜLLER

- Chair of Structural Analysis, Prof. Kai-Uwe BLETZINGER

- Chair of Computation in Engineering, Prof. Ernst RANK

- Chair of Hydromechanics, Prof. Michael MANHART

- Chair of Computational Mechanics, Prof. Fabian DUDDECK

TUM. M.Sc. Computational Mechanics

K.-U. Bletzinger G. Müller E. Rank M. Manhart F. Duddeck


Two years master program

In total 120 ECTS credits

36 ECTS credits compulsory courses

24 ECTS credits compulsory elective courses

30 ECTS credits elective courses

30 ECTS credits master‘s thesis

TOTAL

120 ECTS

Curriculum of the COME.tum program

• Additional qualification during your COME studies possible

BGCE - Bavarian Graduate School of Computational Engineering

Selection process at the end of the first semester.


Compulsory Modules

Semester 1

Computation in Engineering 1

(6 ECTS)

Advanced Fluid Mechanics

(6 ECTS)

Finite Element Methods 1

(6 ECTS)

Computational Material

Modelling I(6 ECTS)

ContinuumMechanics

(6 ECTS)

TOTAL: 30/120 ECTS

Semester 3Software Lab

Project with focus on one of the specialisations(6 ECTS)

Computer Science Fluids Solids & Structures Materials Mechanics

TOTAL: 6/120 ECTS

Semester 4Master Thesis

(30 ECTS)

TOTAL: 30/120 ECTS


CONTENT

• Object oriented modeling and programming (C++)

• Data structures

• Algorithms

• Finding roots, sorting

• Numerical integration

• Least squares method

• Conjugated Gradient method

• Quadtree/Octree structures

• Radiosity method

• Mesh generation

Compulsory Modules – Computation in Engineering 1

Stefanie Schraufstetter, André Borrmann, Ernst Rank

Quadtree for discretisation of a 2D region.


This module is running in the context of Computation in Engineering 1

CONTENT

• Introduction into IDE (Integrated Development Environment)

• Expressions in C++

• Data types

• Control structures

• Functions

• Arrays

• Pointers & references, files

• Elementary algorithms

Libraries

*.lib

Object file

*.obj

Program

*.exeLinker

Object file

*.obj

Compulsory Modules – Computation in Engineering 1

Introduction to Programming in C++


CONTENT

• Kinematics

• Kinetics – Navier-Stokes equations

• Pipe flow, free surface flow

• Dimensional analysis

• Turbulent flows

APPLICATIONS

• Hydraulic, river and environmental

engineering

• Building aerodynamics

• Process and mechanical engineering

Compulsory Modules – Advanced Fluid Mechanics


CONTENT

• Direct Stiffness Method

• Finite Element Modeling

• Variational Formulation

• Plane Stress Elements

• Beam and Plate Elements

• Convergence Requirements

• Locking and FE Technology

• Implementation

• Applications

• Complemented with the course on

Modeling, Simulation, and Validation (FE tutorials)

Compulsory Modules – Finite Element Methods 1

1 2

34

1

1-

1

1

dd Jt TBCBK


CONTENT

• Introduction to a commercial FE software

• Computer science and data management

• Mechanical modeling of structures

• Simulation of linear and first non-linear and/or

dynamic processes

• Applications

• Validations

Compulsory Modules – Finite Element Methods 1

Modeling, Simulation, and Validation


CONTENT

• Computational descriptions for material

behaviour (micro, meso & macro levels)

• Elasticity, visco-elasticity, plasticity, visco-

plasticity, etc.

• Computational modeling of

- Metals

- Polymers

- Composites

- Ceramics

- Foams

- Biomaterials

- Geomaterials

- Others

Compulsory Modules – Computational Material Modelling 1


CONTENT

• Introduction into tensor analysis

• Description of stress states in arbitrary, curvilinear

coordinates

• Lagrangian description of strain states

• Conservation of energy

• Conservation of mass

• Constitutive relations

• General treatment of continuum mechanical

knowledge in order to solve non-linear problems

• References to approaches of Technical Mechanics

(Torsion, Bending, Plates, Dynamics)

Compulsory Modules – Continuum Mechanics


Compulsory Modules – Software Lab (2nd + 3rd semester)

CONTENT

• Group work on software development.

• Engineering problems from different

application fields.

• Collaboration with industry and academia


Compulsory Elective Modules (each 6 ECTS)

TOTAL: 12/120 ECTS

Semester 2 (Summer)Choose 2 out of 4 modules

Finite ElementMethods 2

ComputationalFluid Dynamics

Theory of Plates and Shells*

Structural Dynamics

* Runs over 2 semesters

18/120 ECTSRecommended: add elective modules

Semester 3 (Winter)Choose 2 out of 4 modules

Functional Analysis &Comput. Lin. Algebra

ParallelComputing

Computational MaterialModelling 2

Optimization

TOTAL: 12/120 ECTS

12/120 ECTSRecommended: add elective modules


Compulsory Elective: Finite Element Methods 2

CONTENT

• Large deformations

• Instability

• Ultimate load analysis

• Element formulation

• Green Lagrange strain

Piola Kirchhoff stresses

• Numerical methods

• Bifurcations, limit points

path following algorithms

• Applications


Compulsory Elective: Computational Fluid Dynamics (CFD)

CONTENT

• Finite differences, finite volume method of weighted residuals

• Time integration

• Stability and accuracy analysis

• Solution of Navier-Stokes equations

APPLICATIONS

• Hydraulic, river and environmental engineering

building aerodynamics

• Process and mechanical engineering


Compulsory Elective: Theory of Plates and Shells

CONTENT

• Plane stress / plane strain

• Membranes, strut & tie models

• FE formulation

• Plates in bending

• Kirchhoff / Reissner-Mindlin

• Differential geometry

• Membrane theory

• Kirchhoff-Love theory

• Shells of revolution

• Force method

• Applications


Compulsory Elective: Structural Dynamics

CONTENT

Solution techniques for structures under the action of

dynamic loads

• Single and multi degrees of freedom systems

(SDOF and MDOF)

• Modal Analysis

• Statistical Energy Analysis

• Linear and non-linear systems

• Structures under seismic loads

• Structures under wind loads

• Machine foundations


Compulsory Elective: Functional Analysis & Linear Algebra

CONTENT

• Mathematical foundation for numerical methods

• Error analysis and convergence

• Hilbert, Sobolev and Banach spaces

• Vector and matrix algebra

• Solution methods for large systems


Compulsory Elective: Parallel Computing

CONTENT

• Introduction, hardware development

• Hardware: parallel and vector computers

• Basic concepts of parallel computing

• Performance measuring

• Message passing, the MPI library

• Blocking / non-blocking communication

• Domain decomposition techniques

Different domain decompositions of a FEM model


Compulsory Elective: Computational Material Modelling 2

CONTENT

• Algorithms for plasticity

• Advanced plasticity models

• Damage

• Fracture

• Creep

• Fatigue


CONTENT

• Mathematical basics, basic algorithms

• Gradient-based methods

• Sizing optimization

• Shape and topology optimization

• Sensitivity analysis

• Design of Experiments

• Robustness

• Evolutionary/Genetic algorithms

• Swarm methods, ant colony

• Multi-criteria optimization

• Applications

Compulsory Elective: Optimization


Elective Modules


Catalog is published on www.come.tum.de -> Studying -> Curriculum

• Among the 30 credits for elective modules, 20 ECTS have to be chosen from courses defined in the official curriculum (TUMonline).

• That means a maximum of 10 credits can be taken from other

programs, for example:

- Modules from other faculties (e.g. Mechanical Engineering)

- Modules from the international ATHENS program

http://www.athensprogramme.com/catalog

http://www.international.tum.de/

- Courses from other master programs of the BGCE, mainly CSE

(Computational Science and Engineering)

www.cse.tum.de

• Please Note: The number of Credits of an module may not be reduced. It is not possible to accredit e.g. 10 Credits from a 5 credtit module and a 6 credit module.

Elective Modules from other Programs


http://www.athensprogramme.com/catalog

http://www.international.tum.de/

http://www.cse.tum.de/

Exams (recommended 6 exams à 6 ECTS per semester)

Semester 1 = 30 ECTSContinuum Mechanics

(6 ECTS)Advanced Fluid Mechanics

(6 ECTS)Comput. Material Modelling I

(6 ECTS)Computation in Engineering I

(6 ECTS)Finite Element Methods I

(6 ECTS)

Semester 2 = 30 ECTSCompulsory Elective I

(6 ECTS)Elective Module I

(6 ECTS)Elective Module III

(6 ECTS)*Compulsory Elective II

(6 ECTS)Elective Module II

(6 ECTS)

Semester 3 = 30 ECTSSoftware Lab

(6 ECTS)Compulsory Elective III

(6 ECTS)Elective Module V

(6 ECTS)*Compulsory Elective IV

(6 ECTS)Elective Module IV

(6 ECTS)

Semester 4 = 30 ECTSMaster thesis (30 ECTS)

TOTAL:

120/120 ECTS


Bavarian Graduate School of Computational Engineering

The Bavarian Graduate School ...

of Computational Engineering is an association of three Master programs:

1. Computational Engineering (CE) at the Friedrich-Alexander-Universität

Erlangen-Nürnberg,

2. Computational Mechanics (COME), and

3. Computational Science and Engineering (CSE) at the Technische

Universität München.

http://www.bgsce.de/

Master of Science with Honours

• Students who master the regular program with an

above-average grade, and are still able to

complete the Honours program, as well, will earn

an adequate degree for their outstanding

performance - the "Master of Science with

Honours".


http://www.ce.uni-erlangen.de/

http://www.come.tum.de/

http://www.cse.tum.de/

Prof. Fabian DUDDECK

[email protected]

Tel.: 089 – 289-28656

Contact Address

54

Questions & Answers

TODAY: 4:30-5:30 pm

N6, 2nd floor

Room 2630

N6, 2nd floor, 2630


Thanks for joining us – Have fun and success …


TUM. The Entrepreneurial University. · 1967 TUM School of Medicine, University Hospital 1970...

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