COME Welcome 2016 - TUM · TUM. Key Data 2019-10-07 [email protected] 17 15 Departments 411 Buildings...
Transcript of COME Welcome 2016 - TUM · TUM. Key Data 2019-10-07 [email protected] 17 15 Departments 411 Buildings...
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TUM. Milestones
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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 program
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TUM. Milestones
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2002 TUM Branch in Singapore: TUM. Asia Pte. Ltd.
TUM School of Management
Department of Sport and Health Sciences
2004 High-Flux Research Source Heinz Maier-Leibnitz
2005 TUM Institute for Advanced Study (IAS)
2006 TUM elected "University of Excellence"
TUM Int. 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
2019 TUM “University of Excellence“ for the third time
2019 YOUR start here at TUM
TUM. Selected Nobel Laureates
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• Heinrich O. Wieland
1927, Chemistry
• Hans Fischer
1930, Chemistry
• Rudolf L. Mößbauer
1961, Physics
• Ernst Otto Fischer
1973, Chemistry
• Klaus von Klitzing
1985, Physics
• Robert Huber
1988, Chemistry
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TUM. Selected Inventors, Engineers, Entrepreneurs
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• Oskar von MillerStorage Power Plants
Walchensee Power Plant
German Museum
• Carl von LindeRefrigeration Engineering
Linde’ s Refrigeration Machines
Air Liquefaction
• Rudolf DieselCombustion Engine Development
Diesel Engine (MAN)
• Claude DornierAircraft Construction
Water Planes
• Willy MesserschmittAircraft Construction
First Jet Plane Engine
• Heinz Maier-LeibnitzNeutron Research
"Atom Ei"
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TUM. International Rankings
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https://www.tum.de/en/about-tum/our-university/rankings/
TUM. International Rankings
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https://www.tum.de/en/about-tum/our-university/rankings/
TUM. Partner Universities and International Locations
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TU/e
DTU
Technion
EP
EPFL
EuroTech Universities Alliance
Strategic Initiatives
ICL
KNUST
TUM Locations Worldwide
TUM San Francisco
TUM Brussels
TUM Beijing
TUM Mumbai
TUM São Paulo
TUM Cairo
TUM Asia
160 Partner Universities
320 ERASMUS Exchange Partners
TUM. Partners of Excellence
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European Metropolitan Region Munich
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Industry Network Start-up NetworkAcademic Network
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Appointments
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TUM. Locations
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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
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TUM. Munich Downtown Campus
Civil, Geo, and
Environmental Engineering
Architecture
Electrical &
Computer Engineering
TUM School of
Management
TUM School of Education
TUM School of
Governance
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TUM. Garching Campus
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Chemistry
Physics
Informatics
Mathematics
Mechanical Engineering
TUM Institute for
Advanced Study
Medical Engineering
Research Neutron
Source
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University: Product of Research and Teaching
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• Basic Research
understanding the world
• Applied Research
shaping the world
• Method-Oriented Training
provide theoretical principles
support practical orientation
• Structured Training for Graduates:
TUM Graduate School
reach subject-specific depth
open a general horizon
• Innovation Culture – TUMentrepreneurship
acquire entrepreneurial thinking and acting
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TUM. Key Data
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15 Departments
411 Buildings
173 Degree Courses
41 400 Students, 35% female, 30% international
13 300 Freshman Students
9 200 Graduates per year
> 1 000 PhD Theses per year
> 8 000 Publications, peer-reviewed per year
566 Professors (incl. hospital)
6 600 Scientific Staff (incl. hospital)
3 300 Non-Scientific Staff (not incl. hospital)
117 ERC Grants (since 2008)
42 Humboldt Senior Research Fellows (2013-17)
17 Nobel Prize Laureates
20 Leibniz Laureates (DFG)
6 Humboldt Professors
> 1 000 Research Agreements p.a.
TUM. Total Student Population
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2000 2005 2010 2018
40,000
35,000
30,000
25,000
20,000
41,375
26,302
20,45819,454
+113%
TUM. Departments
Center of Life and Food Science
Weihenstephan
Medicine
Chemistry
Physics
Sports Science
TUM School of Management
Electrical Engineering
and Information Technology
Mechanical
Engineering
Architecture
Civil, Geo, and Environmental Engineering
Informatics
Mathematics TUM School of Education
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Exzellente Forschung
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TUM. Students by Department
Munich Center for Technology in Society
TUM School of Governance
TUM School of Education
TUM School of Management
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 Campus Straubing
TUM School of Life Sciences Weihenstephan
Chemistry
Physics
Mathematics
German Students WS 18/19
International Students WS 18/19
1,000 2,000 3,000 4,000 5,000 6,0000
Management
Education
Social Sciences
Humanities
51% Engineering
Natural Sciences
Life Sciences
Medicine33%
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
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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)
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TUM. Department of Civil, Geo, and
Environmental Engineering
(Courses)
COME
and
BGCE
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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
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• Generally, the lectures are offered at the central campus.
• The main chairs involved are:
- Structural Mechanics, Prof. Gerhard MÜLLER
- Structural Analysis, Prof. Kai-Uwe BLETZINGER
- Computation in Engineering, Prof. Ernst RANK
- Hydromechanics, Prof. Michael MANHART
- Computational Mechanics, Prof. Fabian DUDDECK
TUM. M.Sc. Computational Mechanics
K.-U. Bletzinger G. Müller E. Rank M. Manhart F. Duddeck
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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.
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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
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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.
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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++
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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
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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
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1
1-
1
1
dd Jt TBCBK
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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
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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
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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
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Compulsory Modules – Software Lab (2nd + 3rd semester)
CONTENT
• Group work on software development.
• Engineering problems from different
application fields.
• Collaboration with industry and academia
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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
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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
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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
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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
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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
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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
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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
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Compulsory Elective: Computational Material Modelling 2
CONTENT
• Algorithms for plasticity
• Advanced plasticity models
• Damage
• Fracture
• Creep
• Fatigue
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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
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Some Elective Modules
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Some Elective Modules
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Some Elective Modules
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• Among the 30 credits for elective modules, 21 ECTS have to be chosen
from courses defined in the official curriculum (TUMonline).
• That means a maximum of 9 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 offered by the language center of the TUM
German language is strongly recommended for international
students
- Courses from other master programs of the BGCE, mainly
CSE (Computational Science and Engineering)
www.cse.tum.de
Elective Modules from other Programs
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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
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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.bgce.de/
• “Elite" degree programme for the best students in our
master programmes. Outstanding performance in one
of the three Master's programs will be honoured by
various, exclusive course offers and by the academic
degree of a "Master of Science" with an additional
designation with honours.
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Prof. Fabian DUDDECK
Tel.: 089 – 289-28656
Contact Address
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Questions & Answers
TODAY: 4:30-5:30 pm
N6, 2nd floor
Room N2630
N6, 2nd floor, 2630
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Thanks for joining us – Have fun and success …
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