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Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING Faculty D Civil Engineering / Mechanical Engineering / Safety Engineering Bergische Universität Wuppertal

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Page 1: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Modul - Handbook

Master

COMPUTATIONAL MECHANICAL ENGINEERING

Faculty DCivil Engineering / Mechanical Engineering / Safety Engineering

Bergische Universität Wuppertal

Page 2: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Modul - Handbook

WS 2007 /2008

Page 3: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Table of contents

1. Overview of Modules............................................................................................................... 4Rules for Performing the Projects and Labs.............................................................................8Remarks ...............................................................................................................................8

2. Description of Modules...........................................................................................................10Modul 1 Advanced Fundamentals of Computation............................................................................ 11Modul 2 Advanced Fundamentals of FEM.........................................................................................13Modul 3 Advanced Mechanics.......................................................................................................... 15Modul 4 Application for Mechanical Engineering......................................................................... 18Modul 5 Mechatronics....................................................................................................................... 20Modul 6 Fluid- and Thermodynamics................................................................................................ 22Modul 7 Parallel Computing..............................................................................................................25Modul 8 Feedback Control Systems.................................................................................................. 27Modul 9 Management........................................................................................................................ 28Modul 10 Language............................................................................................................................. 30Modul 11 Industrial Practice .................................................................................................................31

3. Description of Selective Courses............................................................................................ 32Modul 12 Selective Projects ( 1. Semester ) ....................................................................................... 33Modul 13 Selective Courses/Projects ( 2. Semester )........................................................................... 35Modul 14 Selective Courses/Projects ( 3. Semester )........................................................................... 42Modul 15 Selective Courses/Projects ( 4. Semester )......................................................................... 46Modul 16 Master Thesis...................................................................................................................... 48

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Page 4: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

1. Overview of Modules

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Page 5: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 1: Advanced Fundamentals of Computation

Nr. Name of the Course ECTS SWS Semester

1 Modern Programming 4 2V + 1Ü 1. Semester

2 Optimization 4 2V + 1Ü 1. Semester

3 Tools for Computer Simulation 3 2V 2. Semester

Modul 2: Advanced Fundamentals of FEM

Nr. Name of the Course ECTS SWS Semester

1 Foundations of FEM 5 2V + 1Ü 1. Semester

Modul 3: Advanced Mechanics

Nr. Name of the Course ECTS SWS Semester

1 Computational Plasticity 5 2V + 1Ü 2. Semester

2 Fracture and Damage Mechanics 3 2V + 1Ü 3. Semester

3 Numerical Methods in Structural Dynamics 3 2V + 2Ü 3. Semester

Modul 4: Application for Mechanical Engineering

Nr. Name of the Course ECTS SWS Semester

1 Failure Analysis 4 2V 1. Semester

2 Computer Aided Engineering 4 2V + 1Ü 2. Semester

Modul 5: Mechatronics

Nr. Name of the Course ECTS SWS Semester

1 Mechatronics 4 2V + 1Ü 1. Semester

2 Simulation of Dynamical Systems 3 2V 2. Semester

Modul 6: Fluid- and Thermodynamics

Nr. Name of the Course ECTS SWS Semester

1 Fluid and Thermodynamics 4 2V + 2Ü 2. Semester

2 CFD for Turbomachinery 5 2V + 1Ü 3. Semester

Modul 7: Parallel Computing

Nr. Name of the Course ECTS SWS Semester

1 Parallel Algorithms 8 4V + 2Ü 3. Semester

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Page 6: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 8: Feedback Control Systems

Nr. Name of the Course ECTS SWS Semester

1 Feedback Control Systems 4 2V + 1Ü 3. Semester

Modul 9: Management

Nr. Name of the Course ECTS SWS Semester

1 Project Management 3 2V 1. Semester

2 Generic Management 3 2V 2. Semester

Modul 10: Language

Nr. Name of the Course ECTS SWS Semester

1 English (advanced), French etc. 3 2V 3. Semester

Modul 11: Industrial Practice

Nr. ECTS SWS Semester

1 Industrial Practice 5 0 4. Semester

Modul 12: Selective Projects (1. Semester, 6 Credit Points )

Nr. Projekt ECTS SWS Semester

1 Programming 2 0 1. Semester

2 Application of linear FEM 4 0 1. Semester

3 Fluid Mechanics 4 0 1. Semester

4 Grid Generation 2 0 1. Semester

5 Algorithms and Data Structure 4 2V + 1Ü 1. Semester

Modul 13: Selective Projects/Courses (2. Semester, 8 Credit Points)

Nr. Projekt/Courses ECTS SWS Semester

1 Algorithms and Programming 4 0 2. Semester

2 Application of inelastic FEM for product design 4 0 2. Semester

3 Experimental Validation in Fluid Mechanics 4 0 2. Semester

4 Material Behaviour 2 2V 2. Semester

5 Continuum Mechanics 2 2V 2. Semester

6 FEM for Plates and Shells 2 2V 2. Semester

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 14: Selective Courses/Projects (3. Semester, 4 Credit Points) Nr. Projekt ECTS SWS Semester

1 Parallel Algorithms and Programming 4 0 3. Semester

2 Experimental and Computational Fracture Mechanics 4 0 3. Semester

3 CFD/Turbomachines (including Validation) 4 0 3. Semester

4 Lab Mechatronics 4 0 3. Semester

5 Flows in Pipeline Systems 4 0 3. Semester

6 Kinematics, Vibration and Dynamics 4 2V + 1Ü 3. Semester

Modul 15: Selective Courses/Projects (4. Semester, 8 Credit Points)

Nr. Projekt ECTS SWS Semester

1 FEM Computational Structure Optimization 4 0 4. Semester

2 Mechatronics 4 0 4. Semester

3 Lab Flows in Pipeline Systems 4 0 4.Semester

4 Nonlinear FEM 4 2V + 1Ü 4. Semester

Modul 16: Master-Thesis

Nr. Master-Thesis ECTS SWS Semester

1 17 0 4. Semester

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Page 8: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Rules for Performing the Projects and LabsIt is the aim of education that the students do not only learn the scientific and technical contents of a project. Furthermore it is expected that the prospective master-engineer learns how projects are performed within a team. So the intention exists to perfom the projects in groups provided that the conditions are complied with the time schedule of the students. A group consists of three students at least. The maximum number of participants is six. The topics of each project are introduced in the concerning compulsory course. The students must decide whether they want to perform the project which is explained in detail in the compulsory course. In the case that the project is not suitable for the student, she or he must take part at another project which is offered in the curriculum. In any case the students must earn enough credit points by performing projects, taking part at courses and/or by conducting experiments in labs.For each semester the students must chose inside the curriculum which projects, courses and/or labs they want to join. In order to find out the right emphasis for the students, it is recommended that the students look for advice by the professors.

Remarks If a student decides to perform the project “Fluid Mechanics”, she or he must validate the results of this project in the second semester in the lab “Experimental Validation in Fluid Mechanics”.Every student must perform one lab at least, i.e. either lab “Experimental Validation in Fluid Mechanics” or lab “Mechatronics” or lab “Flows in Pipeline Systems”. It makes sense to combine the lab with the emphasis which is chosen by the student during her or his study, respectively.

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Page 9: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

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Page 10: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

2. Description of Modules

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Page 11: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 1Advanced Fundamentals of Computation

Module Name: Advanced Fundamentals of Computation (compulsory Modul)

Classification ASIIN: Deepening of the mathematical, scientific and engineering-like basics (VMNIG)

Courses: Modern Programming, OptimizationTools for Computer Simulation

Semester: 1. and 2. semester

Person in charge for module:

Prof. Dr. A. Frommer

Lecturer: Prof. Dr. A. Frommer and NNProf. Dr. B. LangDr. H. Arndt

Language: English

Classification in curriculum

Also taught for “Computer Simulation in Science”

Teaching Practise / SWS: 6 SWS lectures, 2 SWS exercise

Amount of work: 84 hours study in courses; 246 hours work alone

Credit Points: 11 Credits

Presuppositions: Knowledge of the programming language C

Aims of Education / Competences:

● designing and implementing larger software projects using object-oriented methods

● knowledge of standard algorithms and data structures● being able to design and analyse new algorithms● getting an overview of various software development

tools● being able to choose the most appropriate tools for

different software development tasks● to get an overview of optimization● to understand and apply optimization techniques● to define constraints and to take them into account for

optimization tasks

Contents: ● the software development cycle (specification, design, implementation, testing, maintenance), object-oriented design (objects, classes, inheritance,

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Page 12: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

UML, templates, STL, design patterns), C++, Java● amilies● makefiles, version control systems, combination of

different programming languages, script languages, debugging, profiling, numerical libraries,

● Matlab, computer algebra packages● Introduction to optimization● Unconstrained optimization

- one-dimensional optimization - multi-dimensional optimization

● Constrained optimization - linear Programming / Simplex-Method

● Global optimization techniques - genetic algorithms

● Computer aided optimization

Examination: Examination in written from with only two retries (Fachprüfung)

Media of Presentation: pdf presentation and demonstration of example programs

Literature:

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 2Advanced Fundamentals of FEM

Module Name: Advanced Fundamentals of FEM (compulsory Modul)

Classification ASIIN: Deepening of the mathematical, scientific and engineering-like basics (VMNIG)

Courses: Foundations of FEM

Semester: 1. semester

Person in charge for modul:

Prof. Dr.-Ing. H. Yuan

Lecturer: Prof. Dr.-Ing. H. YuanDipl.-Ing. P. Grün

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 2 SWS lectures, 1 SWS exercise

Amount of work: 31.5 hours study in courses; 118.5 hours work alone

Credit Points: 5 Credits

Presuppositions: Engineering mechanics 1, 2, 3 (Bachelor level)Numerical mathematics (Bachelor level)

Aims of Education / Competences:

● Working into background of mathematical methods for partial differential equations

● Understanding details of finite element methods based on solid mechanics

● To be able to modify and program a linear finite element code

● Possessing skills to use linear FEM for product design

Contents: ● Recapitulation of the basics of numerical methods (overview)

● Introduction to linear partial different equations: Elliptic, parabolic, hyperbolic equations

● Fundamentals of linear structural mechanics: Continuum kinematics, Continuum kinetics, Initial and boundary conditions, Hyperelastic constitutive laws, Initial boundary value problem of elastomechanics, Weak form of the initial boundary value problem

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Page 14: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

● Spatial isoparametric truss elements: Fundamental equations of one-dimensional continua, Finite element discretization, Assembly of the structure, Solution of the system equation, Postprocessing

● 2D elements: Basic equations of plane stress/strain continua, Finite element discretization, Bilinear Lagrange element, Biquadratic serendipity element, Triangular plane finite elements, Numerical integration

● 3D Elements: Fundamental equations of three-dimensional continua, Finite element discretization

Examination: Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Power-Point and lecture with blackboard

Literature: T.R. Chandrupatla, A. D. Belegundu: Introduction to Finite Elements in Engineering Prentice-Hall Inc.

Lecture notes will be distributed during lecture

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Page 15: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 3Advanced Mechanics

Module Name: Advanced Mechanics (compulsory Modul)

Classification ASIIN: Deepening of the mathematical, scientific and engineering-like basics (VMNIG)

Courses: Computational PlasticityFracture and Damage MechanicsNumerical Methods in Structural Dynamics

Semester: 2. semester, 3. semester

Person in charge for modul:

Prof. Dr.-Ing. H. Yuan

Lecturer: Prof. Dr.-Ing. H. YuanDipl.-Ing. M. WünscheProf. Dr.-Ing. W. ZahltenDipl.-Ing. C. Neuhaus

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 6 SWS lectures, 4 SWS exercise

Amount of work: 105 hours study in courses; 225 hours work alone

Credit Points: 11 Credits

Presuppositions: Engineering mechanics 1, 2, 3 (Bachelor level)Numerical mathematics (Bachelor level)Foundation of FEM

Aims of Education / Competences:

● Understanding inelastic description of materials● Working into modern plasticity theory● Possessing ability to program a finite element code for

elastic-plastic materials● To be able to use nonlinear finite element methods for

research and product design● Understanding mathematical description of material

failure● Working into fracture theory● To be able to use mechanics concepts to assess material

structure integrity

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Page 16: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

● To have an overview of mathematical model for material damage

● To select and apply suitable structural models for the numerical sumulation of the structural response

● Numerical solution of the equation of motion in the time and frequency domains

● Critical assessment of the numerical results● Basic understandig of experimental techniques in

structual dynamics

Contents: ● Elastoplastic uni-axial behaviour - mathematical description

● Elastoplastic behaviour for multi-axial stress states: Yield surface; Flow rules, Hardening rules; Examples / applications

● Plasticity models for monotonic and cyclic loadings● Consistent linearization of internal virtual work ● Non-linear weak form ● Finite element discretization ● Standard non-linear displacement formulation ● Solution of non-linear equations ● Linear fracture mechanics: singular stress fields,

K, K_eff, energy balance, fracture toughness, mixed mode

● Nonlinear fracture mechanics: HRR fields, COD, CTOD, J-integral, crack resistance curve, critical crack length, stable crack growth, CTOA

● Fatigue life prediction: Wöhler lines, Manson-Coifin model, S-N curves, uniaxial fatigue models, multi-axial fatigue models

● Fatigue crack growth: Paris law, life prediction, residual stresses

● Continuum damage mechanics: Kachanov model, Lematrie Model, net stress, net Young’s modulus, constitutive model for damaged materials

● Micromechanical damage models: Gurson model, GTN-model, Rousiler model, simulation of crack propagation

● Finite element modelling● Eigenfrequency analyses● Direct time integration methods● Frequency domain methods

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

● Stochastic load processes● Response spectra method● Dynamic control systems● Experimental techniques● Practical applications

Examination: Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Power-Point and lecture with blackboard

Literature: Nonlinear finite elements for continua and structuresLecture notes will be distributed during lectureFracture Mechanics, Gross/Seelig, Springer VerlagLecture notes will be distributed during lecture

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Page 18: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 4 Application for Mechanical Engineering

Module Name: Application for Mechanical Engineering (compulsory Modul)

Classification ASIIN: Deepening of engineering-applications (VI)

Courses: Computer Aided EngineeringFailure Analysis

Semester: 1. and 2. semester

Person in charge for modul:

Prof. Dr.-Ing. H. Bode

Lecturer: Prof. Dr.-Ing. H. BodeM.Sc. Dipl.-Ing. H. Pusch Prof. Dr.-Ing. H.-B. Woyand

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 4 SWS lectures, 1 SWS exercise

Amount of work: 52,5 hours study in courses; 187,5 hours work alone

Credit Points: 8 Credits

Presuppositions: Knowledges of modules “Basics of FEM”Basic knowledge of CAD (BA Level)Basic understanding of Material Science and Technology (BA Level)

Aims of Education / Competences:

● to understand the basic principles and methods of computer aided engineering

● to select and apply standard software for computer aided engineering problems

● to program methods for non standard CAE problems● Learn fundamental sources of failures● Learn about typical mechanical-, chemical- and wear

related fracture characteristics with a macroscopic and microscopic point of view

● Understand general failure analyses procedures ● Learn what failure analysis can mean in terms of

profitability and product liability

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

● Gives additional practical informations to follow-up lecture

● “Fracture and Damage Mechanics“ (Compulsory course VMNIG and Selective Course/Project VS) taking place next semesters

Contents: ● Computer Aided Engineering: gemetric modelling, object representation and reasoning, database concepts, optimization and search, constraint and ruled based design, computational mechanics, distributed web applications

● General Procedures for Failure Analyses● Types of Failure and Stress ● Ductive and Brittle Fractures● Fatigue Failures● Wear Failures● Corrosion Failures (Wet Corrosion)● Elevated Temperatur Failures (Dry Corrosion)● Failures of Cast and Wrought Ferrous Metals● Failures of Welded, brazed and Soldered Joints● Failures of Boilers and Heat Exchangers● Failure Report● Importance and Consequences of failure analysis in

terms of profitability and product liability

Examination: Examination in written form with only two retries (Fachprüfung) and evaluation of case study report

Media of Presentation: Power-Point and lecture with blackboard, e-learning system,overhead-projector

Literature: B. Raphael, I.F.C. Smith: Computer Aided Engineering, John Wiley & Sons; June 2003Donald J. Wulpi: ” How Components Fail”, 2nd edition, 1999, ISBN 10: 087170-631-8Video-Set: “Principles of Failure Analyses” ASM (American Society of Metals, now “The Materials Information Society”)

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Page 20: Modul - Handbook Master COMPUTATIONAL MECHANICAL ENGINEERING · PDF fileAlso taught for “Computer Simulation in Science ... Modul 2 Advanced Fundamentals of FEM ... Weak form of

Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 5Mechatronics

Module Name: Mechatronics (compulsory Modul)

Classification ASIIN: Deepening of engineering-applications (VI)

Courses: Simulation of Dynamic Systems, Mechatronics

Semester: 1. and 2. semester

Person in charge for modul:

Prof. Dr.-Ing. M. Böhle

Lecturer: Prof. Dr.-Ing. U. PietzschProf. Dr.-Ing. M. BöhleDipl.-Ing. M. Wannek

Language: Englisch

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 4 SWS lectures, 1 SWS exercise

Amount of work: 52,5 hours study in courses; 157,5 hours work alone

Credit Points: 7 Credits

Presuppositions: Knowledges of modules „Advanced Fundamentals of Computa-tion“ and „Numerical mathematics (BA Level)“

Aims of Education / Competences:

● describing dynamical systems by algebraic and differential equations

● to treat equations of dynamical systems by Laplace and Fourier transformation

● to select, apply and program methods for initial value problems

● to select, evaluate and apply models for the simulation of flows

● Recognition and understanding of the interaction between electronical, computational and mechanical components with special respect to the integrated interfaces in mechatronical systems

Contents: ● definition of a system, examples for the simulation of kinematic, fluidmechanical, thermodynamical und mixed problems

● formulation of basic equations, Laplace- und Fourier-

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

transformation, transfer functions, ● time integration methods for initial problems,

block oriented simulation tools● An introduction in the Advanced Fundamentals of

applied mechatronics from the view of mechanical engineering.

Examination: Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Power-Point and lecture with blackboard

Literature: U. Pietzsch: Script: “An Introduction to Mechatronics for mechanical engineers”

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 6Fluid- and Thermodynamics

Module Name: Fluid- and Thermodynamics (compulsory Modul)

Classification ASIIN: Deepening of the mathematical, scientific and engineering-like basics (VMING),Deepening of engineering-applications (VI)

Courses: Fluid- and Thermodynamics, CFD for Turbomachinery

Semester: 2. and 3. semester

Person in charge for modul:

Prof. Dr.-Ing. M. Böhle

Lecturer: Prof. Dr.-Ing. M. BöhleDipl.-Ing. M. Wannek

Language: Englisch

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 4 SWS lectures, 3 SWS exercise

Amount of work: 73.5 hours study in courses; 196.5 hours work alone

Credit Points: 9 Credits

Presuppositions: Basic knowledges in Fluid- and Thermodynamics of a bachelor

Aims of Education / Competences:

● Learning the behaviour and calculation of compressible flows

● Learning the fluid mechanical equations (Navier-Stokes Equations)

● Treating flows with energy supply● Treating flows in thermodynamical non-equilibrium● Treating flows with chemistry (combustion)● to treat problems with heat transfer● to understand the flow behaviour in turbo machines

components● function and work principal of radial and axial turbo

machines.● to simulate and evaluate flows in components of turbo

machines● to choose and understand different models to simulate

flows in turbo machines (turbulence models,

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

frozen rotor model, mixing plane)● to understand the mathematical background of CFD● to evaluate CFD-solutions ● to apply CFD for the purposes of research and

development

Contents: ● One dimensional compressible flow, flows with isentropic and non-isentropic theromodynamical behaviour,

● shocks, shock equations, shock reflection, ● Prandtl-Mayer expansion, ● Navier Stokes equations, ● flows in thermodynamical equilibrium and

non-equilibrium, ● heat transfer in solid and fluids● basics of chemical reactions, chemical reacting flows,

examples and applications ● turbulence and introduction to turbulence modelling ● function and work principal of radial and axial turbo

machine● characteristics of different grids (tetrahedron, hexahedron

and hybrid-grids)● basics of CFD with regard to stability, convergence and

consistency● FVM method for collocated cells● Different interpolation schemes (first and second order

schemes, upwind schemes)● SIMPLE-, SIMPLEC- and PISO-algorithm● Solver for linear equations systems including multigrid

technique ● introduction to Lattice-Boltzmann algorithm● research topics in CFD-turbomachinery

Examination: Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Power-Point and lecture with blackboard

Literature: W. G. Vincenti, C.H. Kruger: Introduction to Gas Dynamics, Krieger-Verlag, 1975Chue: Thermodynamics, John Wiley & Sons, New YorkJ.H. Ferziger, M. Peric: Computational Methods for Fluid Dynamics, Springer Verlag, Berlin 2002

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

J.C. Tannehill, D.A. Anderson, R. H. Pletcher: Computational Fluid Mechanics and Heat Transfer, Taylor & Francis Publisher, 1997S. Succi: The Lattice Boltzmann Equation for Fluid Dynamics and BeyondOxford Science Publication, 2001G. C. Oates: Aerotherdynamics of Gas Turbine and Rocket PropulsionThird Edition AIAA-Education Series, 1997

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 7Parallel Computing

Module Name: Parallel Computing (compulsory Modul)

Classification ASIIN: Deepening of engineering-applications (VI)

Courses: Parallel Algorithms

Semester: 3rd semester

Person in charge for modul:

Prof. Dr. A. FrommerProf. Dr. B. Lang

Lecturer: Prof. Dr. A. FrommerProf. Dr. B. Lang

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 4 SWS lectures, 2 SWS exercise

Amount of work: 63 hours study in courses; 177 hours work alone

Credit Points: 8 Credits

Presuppositions: Basic knowledges in numerical mathematics, especially in solving large system of linear equations

Aims of Education / Competences:

This lecture will enable students ● to understand how parallel computers are working, ● to assess, evaluate and develop parallel algorithms, ● to provide them with a variety of standard methods in pa-

rallel computing and prepare them for an optional hands-on parallel programming lab.

Contents: ● Parallel architecture and parallel programming methods, quantities for measuring parallelism (speedup, scale-up, efficiency, scalability),

● dense linear systems (data distribution, blocking, triangular and banded systems),

● sparse linear systems (partitioning algorithms, iterative methods, preconditioning)

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Examination: Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Data projector presentation and/or blackboard

Literature: to be announced in the lecture

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 8Feedback Control Systems

Module Name: Feedback Control Systems (compulsory Modul)

Classification ASIIN: Deepening of engineering-applications (VI)

Courses: Feedback Control Systems

Semester: 3rd semester

Person in charge for modul:

Prof. Dr.-Ing. U. Pietzsch

Lecturer: Prof. Dr.-Ing. U. PietzschDipl.-Ing. P. Klinkau

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 2 SWS lectures, 1 SWS exercise

Amount of work: 31,5 hours study in courses; 58,5 hours work alone

Credit Points: 4 Credits

Presuppositions: Basic knowledge in feedback control (bachelor level)

Aims of Education / Competences:

This lecture will enable students to generate descrete-time models of multivariable feedback control systems and to analyse them by computational methods

Contents: ● mathematical modelling ● intermashed control loops● multivariable systems● state variable models● digital feedback control systems ● computational analysis of feedback control systems

Examination: Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Data projector presentation and/or blackboard

Literature: Dorf, Bishop: Moderne RegelungssystemeHorn, Dourdoumas: RegelungstechnikFöllinger: RegelungstechnikFranklin, Powell, Emami-Naeini: Feedback Control of Dynamic Systems

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 9Management

Module Name: Management (compulsory Modul)

Classification ASIIN: Inter-disciplinary lectures (FL)

Courses: Project managementGeneric management

Semester: first and second semester

Person in charge for modul:

Prof. Dr.-Ing. habil. Petra Winzer

Lecturer: M.Sc. Ulf Schulze-Bramey

Language: English

Classification in curriculum

Part of „Management for engineers “

Teaching Practise / SWS: 4 SWS lectures

Amount of work: 42 hours study in courses; 138 hours work alone

Credit Points: 6 Credits

Presuppositions: Knowledges of basic engineering according to a bachelor course

Aims of Education / Competences:

● Students shall learn/acquire:● basics in project management● Methods for the pre-arrangement, realisation and analysis

of projects and its practice● The application of project management for

safety engineers● The possibilities of the use of software tools in the field

of project management● The ability to realise small or complex projects with the

tools of project management

Contents: ● Basics of project management● Possibilities of the application of project management for

engineers● Organisation systems and leadership systems● Project planning and planning tools● Principle of project control● Models of project controlling

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

● Practical examples

Examination: Examination in written form with only two retries

Media of Presentation: Power-Point and lecture with blackboard

Literature: Special scripts are handed out in the courses

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 10Language

Module Name: Language (English for Advanced, French, Spanish etc.) (compulsory Modul)

Classification ASIIN: Inter-disciplinary lectures (FL)

Courses: English for Advanced or French or Spanish etc.

Semester: 3. semester

Person in charge for modul:

Frau Dr. Bryan

Lecturer: Lectures of the center for languages

Language: Depends of course

Classification in curriculum

Teaching Practise / SWS: 2 SWS lectures with training

Amount of work: 21 hours study in courses, 69 study alone

Credit Points: 3 Credits

Presuppositions: For English course English must be trained well

Aims of Education / Competences:

The aims are:● To present and argue with a foreign language

effectively● To describe products, procedures, methods with a foreign

language● To Describe diagrams, tables etc.● To handle foreign measure units● To understand and handle foreign safety and

standard instructions

Contents: Interactive and communicative training in groups. The active participation is the main presupposition to be successful in these courses

Examination: Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Power-Point and lecture with blackboard

Literature: Scripts are available in the centre for foreign language

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 11Industrial Practice

Module Name: Industrial Practice (compulsory Modul)

Classification ASIIN: Engineering-practical activity

Courses:

Semester: 4. semester

Person in charge for modul:

Prof. Dr.-Ing. M. Böhle

Lecturer:

Language: English/German

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS:

Amount of work: 150 hours working in a company as a CAE engineer

Credit Points: 5 Credits

Presuppositions: Knowledges of the first, second and third semester

Aims of Education / Competences:

It is the aim that the engineer gets into touch with the calculation and working procedures which are applied in industry. The engineer must learn how calculation procedures are used in order to develop industrial products

Contents: Depends on the company where the student serves his or her practical work, respectively

Examination: Report in written form (Leistungsnachweis)

Media of Presentation:

Literature:

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3. Description of Selective Courses

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 12Selective Projects

( 1. Semester )

Module Name: Selective Courses/Projects

Classification ASIIN: Study with emphases (VS)

Courses: Algorithms and Data Structure

Semester: 1. semester

Person in charge for modul:

Prof. Dr.-Ing. M. Böhle

Lecturer: Prof. Dr. A. Frommer

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 2 SWS lectures, 1 SWS exercise

Amount of work: 180 hours for all projects

Credit Points: 6 Credits

Presuppositions: Knowledges of a Bachelor lecture course

Aims of Education / Competences:

The projects have the function to train the ability for solving a scientific and/or engineering problem with the students’ initiative. Furthermore a specification can be chosen by the students.

Contents: Projects are (s. descriptions following) :● Programming (2 Credits)

and/or● Application of linear FEM (4 Credits)

and/or● Fluid Mechanics (4 Credits)

and/or● Grid Generation (2 Credits)

Course :● Algorithms and Data Structure (4 Credits)

Remark : If a student decides to perform the project “Fluid Mechanics”,

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

she or he must validate the results of this project in the second semester in the lab “Experimental Validation in Fluid Mechanics”.Every student must perform one lab at least, i.e. either lab “Experimental Validation in Fluid Mechanics” or lab “Mecha-tronics” or lab “Flows in Pipeline Systems”. It makes sense to combine the lab with the emphasis which is chosen by the student during her or his study, respectively.

Examination: Examination by presentation of results and report with only two retries (Fachprüfung)

Media of Presentation: Mainly Power-Point user by the students

Literature: Depends

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 13Selective Courses/Projects

( 2. Semester )Module Name: Selective Courses/Projects

Classification ASIIN: Study with emphases (VS)

Courses: Material Behaviour (s. description below) (2 Credits)Continuum Mechanics (s. description below) (2 Credits)FEM for Plates and Shells (s. description below) (2 Credits)

Semester: 2. semester

Person in charge for modul:

Prof. Dr.-Ing. M. Böhle

Lecturer: Prof. Dr.-Ing. BodeProf. Dr.-Ing. HoebornProf. Dr.-Ing. Harte

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 2 SWS lectures Material Behaviourand/or 2 SWS lectures Continuum Mechanicsand/or2 SWS lectures FEM for Plates and Shells

Amount of work: 240 hours for all projects and/or lectures

Credit Points: 8 Credits

Presuppositions: Knowledges of lectures of the first semester

Aims of Education / Competences:

The projects have the function to train the ability for solving a scientific and/or engineering problem with the students’ initiative. Furthermore a specification can be chosen by the students.The lectures can be chosen in order to gain special insight into some topics which belong to material behaviour, vibrations, con-tinuum mechanics and/or FEM for shells and plates.

Contents: Projects are (s. descriptions following) :● Algorithms and Programming (4 Credits)

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

and/or● Application of inelastic FEM for

product design (4 Credits)and/or

● Experimental Validation in Fluid Mechanics (Lab) (4 Credits)

Lectures are :● Material Behaviour (2 Credits)

and/or● Continuum Mechanics (2 Credits)

and/or● FEM for Plates and Shells (2 Credits)

Remark :If a student decides to perform the project “Fluid Mechanics”in the first semester, she or he must validate the results of this project in the second semester in the lab “Experimental Vali-dation in Fluid Mechanics”.Every student must perform one lab at least, i.e. either lab “Experimental Validation in Fluid Mechanics” or lab “Mecha-tronics” or lab “Flows in Pipeline Systems”. It makes sense to combine the lab with the emphasis which is chosen by the student during her or his study, respectively.

Examination: Projects/Lab : Examination by presentation of results and report with only two retries (Fachprüfung)

Lectures : Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Mainly Power-Point user by the students

Literature: Depends

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Lecture :Material Behaviour (Selective Course)

(2. Semester, 8 Credit Points )

Module Name: Selective Courses/Projects

Classification ASIIN: Study with emphases (VS)

Courses: Material Behaviour

Semester: 2. semester

Person in charge for modul:

Prof. Dr.-Ing. M. Böhle

Lecturer: Prof. Dr.-Ing. BodeM.Sc.Dipl.-Ing. H.Pusch

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 2 SWS lectures, including laboratory experiments

Amount of work: 21 hours in courses lecturing and lab work; 39 hours work alone

Credit Points: 2 Credits

Presuppositions: Basic understanding of Material Science and Technology

(BA-level)

Aims of Education / Competences:

● Refreshing fundamental knowledge in Material Science and Materials Technology

● Learning about the influence of ● construction parameters● production parameters● service parameters

on properties of components and comparison to pure materials properties

● Selecting relevant test methods for receiving informa-tions about properties of components

Contents: A. Influence of construction parameters● Notches and material related failures● Joining (welding, brazing, soldering)● Surface treatments and surface coatings● Corrosion related construction

B. Influence of production parameters● Work hardening and relaxation/softening during

production ● Cleanness of component surfaces and production

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

shop environment● etc.

C. Influence of service parameters (loading parameters)

● Time,Temperature, Environment/Media ● Mechanical loading: Static, dynamic, mixed● Velocity of mechanical loading ● Chemical loading: Corrosion, Oxidation● Mixed mechanical/chemical loading :

stress corrosion cracking

Examination: Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Power-Point and lecture with blackboard

Literature: Michael F.Ashby/David r.H. Jones:” Engineering Materials 1 and 2”, Third edition, 2005, Elsevier Inc. (Mainly sections “Case Studies”)

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Lecture :Continuum Mechanics (Selective Course)

(2. Semester, 8 Credit Points )

Module Name: Selective Courses/Projects

Classification ASIIN: Study with emphases (VS)

Courses: Continuum Mechanics

Semester: 2. semester

Person in charge for modul:

Prof. Dr.-Ing. M. Böhle

Lecturer: Prof. Dr.-Ing. habil. Hoeborn

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 2 SWS lectures

Amount of work: 21 hours study in courses; 69 hours work alone

Credit Points: 2 Credits

Presuppositions: Knowledge in Basic Mechanics (Bachelor Degree) and Mathematics (Bachelor Degree)

Aims of Education / Competences:

Ability

● to work with literature of tensor analysis

● to formulate equilibrium conditions for any continuum

● to classify material laws and to formulate them

Contents: Tensor Analysis, Conservation Laws of Continuum Mechanics, Basics of a Thermodynamical Consideration, Basics of non-linear Continuum Mechanics, Special Topics

Examination: Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Lecture with blackboard

Literature: M. Anderson: An Introduction into Continuum Mechanics, John Wiley; 1996

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Lecture :FEM for Plates and Shells (Selective Course)

(2. Semester, 8 Credit Points )

Module Name: Selective Courses/Projects

Classification ASIIN: Study with emphases (VS)

Courses: FEM for Plates and Shells

Semester: 2. semester

Person in charge for modul:

Prof. Dr.-Ing. M. Böhle

Lecturer: Prof. Dr.-Ing. Harte

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 2 SWS lectures

Amount of work: 21 hours study in courses; 69 hours work alone

Credit Points: 2 Credits

Presuppositions: Basic of Mechanis (Bachelor Desgree),

FEM-knowledges of Modul 2

Aims of Education / Competences:

● to apply FEM for problems of shells and plates

● to understand the theoretical background of FEM for plates and shells

● to get insight of the possibilities and limitations of FEM for plates and shells

● to know the fundamental methods to derive shape-func-tions for plates and shells

● to prove the accuracy of finite elements via benchmark tests

● to be able to simplify the finite-element-method: symmetry conditions, sub-structuring techniques etc.

Contents: Theory of plates and shells (membrane and bending theory); Kirchhoff-Love-hyperthesis and Reisner-Minding-theory;

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

natu-ral coordinate systems; shape functions for plate and shell elements; convergence criteria; consideration of locking effects

Examination: Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Power-Point and lecture with blackboard

Literature: Huebner: The Finite Element Method for Shells and Plates, John Wiley & Sons, 1995

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 14Selective Courses/Projects

( 3. Semester )

Module Name: Selective Courses/Projects

Classification ASIIN: Study with emphases (VS)Deepening of engineer-applications (VI)

Courses:

(Selective Courses) Kinematics, Vibration and Dynamics

Semester: 3. semester

Person in charge for modul:

Prof. Dr.-Ing. M. Böhle

Lecturer: Prof. Dr.-Ing. M. BöhleProf. Dr.-Ing. M. Woyand

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS:

Amount of work: 120 hours for all projects and/or lecture

Credit Points: 4 Credits

Presuppositions: Knowledges of lectures of the first, first and second semester

Aims of Education / Competences:

The projects have the function to train the ability for solving a scientific and/or engineering problem with the students’ initiati-ve. Furthermore a specification can be chosen by the students.

Remark :If a student decides to perform the project “Flows in Pipeline Systems” in the third semester, then it makes sense that she or he should validate the results of this project in the fourth semester in the lab “Flows in Pipeline Systems”.Every student must perform one lab at least, i.e. either lab “Experimental Validation in Fluid Mechanics” or lab “Mecha-tronics” or lab “Flows in Pipeline Systems”. It makes sense to combine the lab with the emphasis which is chosen by the student during her or his study, respectively.

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Contents: Projects are :● Parallel Algorithms and Programming (4 Credits)

and/or● Experimental and computational

fracture mechanics (4 Credits)and/or

● CFD/Turbo Machines (including Validation) (4 Credits)and/or

● Lab “Mechatronics” (4 Credits)and/or

● Flows in Pipeline Systems (4 Credits)

Selective Courses :● Kinematics, Vibration and Dynamics (4 Credits)

Examination: Projects/Lab:

Examination by presentation of results and report with only two retries (Fachprüfung)

Selective Courses :

Examination in written form

Media of Presentation: Mainly Power-Point user by the students

Literature: Depends

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Lecture :Kinematics, Vibration and Dynamics (Selective Course)

(3. Semester, 4 Credit Points )

Module Name: Selective Courses/Projects

Classification ASIIN: Deepening of engineer-applications (VI)

Courses: Kinematics, Vibration and Dynamics

Semester: 3. semester

Person in charge for modul:

Prof. Dr.-Ing. M. Böhle

Lecturer: Prof. Dr.-Ing. H.-B. Woyand

Language: English

Classification in curriculum

Only part of „Computational Mechanical Engineering“

Teaching Practise / SWS: 2 SWS lectures, 1 SWS exercise

Amount of work: 45 hours study in courses; 15 hours work alone

Credit Points: 4 Credits

Presuppositions: Knowledges of module “Advanced Fundamentals of FEM”

Aims of Education / Competences:

to understand the basic principles and methods of kinematics, vibration and dynamicsto create mathematical models of mechanisms and of discrete and continuous vibration systemsto solve models using analytical and numerical methodsto program numerical methods for kinematics, vibration and dy-namics

Contents: Introduction to constraint kinematics, mechanisms and mechan-ical joints, computational methods in kinematics,single degree of freedom systems, virtual work and lagrangian dynamics, multi-degree of freedom systems, vibration of con-tinuous systems, computational methods of vibration analysis, applications in machine and vehicle dynamics, nonlinear vibra-tions

Examination: Examination in written form

Media of Presentation: Power-Point and lecture with blackboard, e-learning system

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Literature: R. L. Norton: Design of Machinery, McGraw Hill, 2004A. A. Shabana: Vibration of Discrete and Continuous Systems, Springer; 1996A. A. Shabana: Computational Dynamics, John Wiley, 2001

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 15 Selective Courses/Projects ( 4. Semester )

Module Name: Selective Courses/Projects

Classification ASIIN: Study with emphases (VS)

Courses: Nonlinear FEM

Semester: 4. semester

Person in charge for modul:

Prof. Dr.-Ing. H. Yuan

Lecturer: Prof. Dr.-Ing. H. Yuan

Language: English

Classification in curriculum

Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS: 2 SWS lectures, 1 SWS exercise Nonlinear FEM

Amount of work: 240 hours for all projects and/or lecture

Credit Points: 8 Credits

Presuppositions: Knowledges of lectures of the first, second and third semester

Aims of Education / Competences:

The projects have the function to train the ability for solving a scientific and/or engineering problem with the students’ initiative. Furthermore a specification can be chosen by the students.The lecture can be chosen in order to gain special insight into some topics which belong to nonlinear FEM.

Contents: Projects are (s. descriptions following) :● FEM

computational structure optimization (4 Credits)and/or

● Mechatronics (4 Credits)and/or

● Lab “Flows in Pipeline Systems” (4 Credits)and/or

Lecture :● Nonlinear FEM (4 Credits)

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Examination: Projects/Lab: Examination by presentation of results and report with only two retries (Fachprüfung)

Lectures: Examination in written form with only two retries (Fachprüfung)

Media of Presentation: Mainly Power-Point user by the students

Literature: Depends

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

Modul 16Master Thesis

Module Name: Master Thesis

Classification ASIIN:

Courses:

Semester: 4. semester

Person in charge for modul: Professor of faculty of Civil Engineering,

Mechanical Engineering and Safety Engineering

Lecturer:

Language: Englisch

Classification in curriculum Only part of COMPUTATIONAL MECHANICAL ENGINEERING

Teaching Practise / SWS:

Amount of work: 480 hours work alone

Credit Points: 17 Credits

Presuppositions: Knowledges of all modules of first, second, third and fourth

semester

Aims of Education / Competences:

The aims are:

● The students shall learn the procedure how to treat a scientific engineering problem by their own initiative. This includes the definition of the problem, the decomposition into subproblems, to find and evaluate solution methods, to realise the solution, to discuss and evaluate the solution with regard to the requirements of an engineering problem and to bring the results into a form that they are understandable for different people (engineers, scientists, administrators, students etc.)

● The students shall learn to use literature, i.e. to find out which kind of literature is needed in order to solve a scientific engineering problem, to classify the literature into applied and scientific parts, to cite literature etc.

● Finally, the students must perform this work by themselves without support by a professor. The function of a professor is restricted to be only a person who can discuss procedures, results etc. .

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Master „COMPUTATIONAL MECHANICAL ENGINEERING“ FB D - Civil Engineering, Mechanical Engineering, Safety Engineering - Bergischen Universität Wuppertal

A professor does not give direct hints in order to solve the problems.

Contents:

Examination: A thorough report is required from the students with an additional presentation of their work

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