����ͷ��

• Course title: Mathematik I
• Number of ECTS: 6
• Course code: BENG-1
• Module(s): Mathematik I
• Language: FR, EN
• Mandatory: Yes

Les cours de mathématiques I a pour but de fournir aux étudiants les bases nécessaires entre autre en calcul vectoriel, en calcul de nombre complexes, et en calcul différentiel et intégral de fonctions d’une et de plusieurs variables pour la maîtrise des application de ces notions en sciences de l’ingénieur����

L’ étudiant(e) ayant suivi avec succès le cours de mathématiques I est capable de:��
·�� �� �� �� ��*�� comprendre et utiliser le langage mathématique de base des disciplines concernées
·�� �� �� �� �� * résoudre des exercices d’application
·�� �� �� �� �� * appliquer les notions à des problèmes-type en science de l’ingénieur

Calcul vectoriel
–�� �� �� �� �� Somme vectorielle; Multiplication scalaire
–�� �� �� �� �� Produit scalaire; Produit vectoriel; Produit mixte
Nombres complexes
–�� �� �� �� �� Définition et Représentation géométrique
–�� �� �� �� �� Addition; Soustraction; Multiplication; Division; Puissances et Racines
–�� �� �� �� �� Forme ordinaire, Forme trigonométrique et forme exponentielle
Fonctions de plusieurs variables-Dérivées partielles
–�� �� �� �� �� Dérivées partielles du premier ordre et ordre supérieur
–�� �� �� �� �� Différentielle totale
–�� �� �� �� �� Calcul d’erreur
–�� �� �� �� �� Extremums d’une fonction de deux variables

Prestation et Examen

• Course title: Physics
• Number of ECTS: 5
• Course code: BENG-150
• Module(s): Physics
• Language: EN
• Mandatory: Yes

This course introduces fundamental principles of physics with a focus on applications in engineering. Topics include mechanics, thermodynamics, electromagnetism and waves. Emphasis is placed on problem-solving, conceptual understanding, and real-world engineering applications.

By the end of the course, students will be able to:��
· Understand and apply Newtonian mechanics��
· Understand and apply energy and momentum conservation laws.��
· Understand wave phenomena and basic optics.��
· Understand and apply the principles of thermodynamics and heat transfer.��
· Describe electric and magnetic fields and their applications.

Motion in 1D and 3D; Newton’s laws; Work and energy conservation; Linear momentum conservation; Rotation and angular momentum; Oscillations, waves, and superposition; Kinetic theory of gases and laws of thermodynamics; Electricity and magnetism.

Midterm exam (written) – Tentative date: 21.11.2025 (1/3 of final mark); Final written exam (2/3 of the final mark). Retakes will be conducted as oral exams.

Physics for Scientists and Engineers (Tipler and Mosca) The Feynman Lectures on Physics Gerthsen Physik

• Course title: Technische Mechanik I
• Number of ECTS: 5
• Course code: BENG-4
• Module(s): Technische Mechanik I
• Language: EN
• Mandatory: Yes

Students understand the fundamentals of statics and can apply this knowledge in practical tasks.

Students are able to calculate static loads on rigid bodies.
They can determine centers of gravity, solve central force systems, and determine step sizes on beams.

The lecture provides an introduction to the fundamentals of statics.��
Students will learn about the following topics:
–�� �� Basic concepts of statics of rigid bodies
–�� �� Plane force systems
–�� �� Systems of rigid discs
–�� �� Calculation of the position of the center of gravity
–�� �� Introduction to spatial statics
–�� �� Calculation of forces in the nodes of trusses
–�� �� Friction
–�� �� Internal forces in beams
After attending the lecture, students will be able to solve simple calculation tasks that form the basis for engineering work.��

Written Examination (70%) and Mid Term Assessment (30%)��

Engineering Mechanics: Statics by Hibbeler
(Additional exercises will be given in the classroom)

• Course title: Informatik I / Programming for Engineers
• Number of ECTS: 5
• Course code: BENG-5
• Module(s): Informatik I / Programming for Engineers
• Language: EN
• Mandatory: Yes

This course offers a comprehensive introduction to programming fundamentals using Python, emphasizing practical application through hands-on workshops.

Students will learn core concepts such as control flow, data structures, and algorithms, progressing to object-oriented programming, file I/O, and interacting with APIs.

The curriculum culminates in project-based learning, applying Python to real-world scenarios like sentiment analysis and signal processing.

Upon successful completion of this course, students will be able to:
– Develop functional Python programs by applying core principles, including variables, control flow (loops and conditionals), and functions to create organized, logical code.
– Effectively use and manipulate Python’s core data structures, such as lists, dictionaries, and arrays, and implement fundamental algorithms for processing data.
– Structure code using object-oriented programming (OOP) principles, perform file I/O operations to read and write data, and interact with external web APIs to fetch data.
– Set up a Python development environment and use essential software development tools, including GitHub for version control and collaborative code management.
– Design, develop, and present a complete software project that applies course concepts to a practical, real-world scenario such as sentiment analysis or signal processing.

This course offers a comprehensive introduction to programming fundamentals using Python, emphasizing practical application through hands-on workshops. Students will learn core concepts such as control flow, data structures, and algorithms, progressing to object-oriented programming, file I/O, and interacting with APIs. The curriculum culminates in project-based learning, applying Python to real-world scenarios like sentiment analysis and signal processing.

Project presentation and oral examination based on the project.

• Course title: CAD Mechanical Engineering
• Number of ECTS: 5
• Course code: BENG-144
• Module(s): CAD Mechanical Engineering
• Language: EN, FR
• Mandatory: Yes

The main objectives are:
– Development of a professional knowledge in technical communication tools available in actual design offices. The focus will be on understanding the different methodology of numerical model creation, using full 3D parametric capabilities.
– Generation, Dimensioning and tolerancing of parts and systems.
– Comprehension and production of Engineering drawings for use in different Engineering specialisations

The students in the defined scope of the course can:
Professionally work with a commonly used commercial CAD software (Inventor or Revit) in order to generate 3D Models (feature based and parametric), Assembly systems and Engineering Drawings.
Understand various capabilities and limitations of CAD software in different industries (Mechanical and Civil).
Generate parametric design of Products and Systems including sustainability constraints, dimensioning and tolerancing, validation and optimization of systems using simulation. The concept of virtual factory will be introduced (Manufacturing Production process) and various technology of Rapid Prototyping.
Communicate technical concepts using industrial modern tools, and to understand the various standards and practices in the field of technical engineering drawings. Students will be able to generate detailed and complete simple engineering systems creating engineering drawings.
As this course will address future Mechanical and Civil Engineers, both CAD application software will be reviewed. The learning targets of this course are:
To understand the concept of functional numerical CAD models based on PLM platform or BIM technology for a collaborative development of industrial systems / buildings. For mechanical engineering, the most important aspects of the virtual product development using Computer Aided Engineering will be reviewed: Concept design, Parametric Modelling, Digital manufacturing and Production process, as well as Rapid prototyping technology.
To develop a professional knowledge of a commonly used commercial CAD software. CAD software is broadly used in various Engineering offices and the development of such commercial software is in perpetual evolution. CAD is mainly used for the generation of 3D systems and respective engineering drawings, but it is also at the centre of the Product LifeCycle Management (PLM) to integrate various capabilities such as structural simulation (Computer Aided Engineering – CAE), manufacturing (Computer Aided Manufacturing – CAM), Realistic imaging (rendering), Rapid prototyping and Document management.
To generate basic 3D models and engineering 2D drawings. The students will learn to create engineering drawings and continue using most advanced tools to generate complex system representations. The students will understand the rules of engineering graphics in order to read, generate and understand engineered concepts.

Engineering drawings: (1 ECTS – Common)
Drawing convention / Principles of Orthographic Projection
Multiple Views drawing
Sectional and auxiliary views
Axonometry (Isometric & Dimetric projection)
Dimensions and tolerances
Geometric dimensioning and tolerancing (GDT)
Functional dimensioning (Definition of part function)
Fasteners representation & definition
Surface roughness & Weldment symbol
Computer Aided Design: (Inventor) (4 ECTS – Specific)
Introduction to Inventor
Sketch / Solid based featuring
Parameters – Equation – Parametric design
Sheet metal
Frame generator
Assemblies / Bill of Material
Weldment
Drawings
Presentation / Explosion / Rendering
CAE Simulations / Motion & FEA
Computer Aided Design: (Autocad & Revit) (4 ECTS – Specific)��
1) Autocad:
2D / Creation of basics drawings (Draw / Modification / Layers / Blocks/ Constraints / Prints & Plot)
2) Revit:
Introduction to Building Information Modelling
Revit Workspace, interface, and file’s format
General setup – levels and view plan – section and elevation – external reference, selection filter – material
3D Building models elements:��
Walls, floors, roofs, openings, columns, and beams
Ceilings, stairs, ramp, railings, windows, and doors
3D volume in place, Site and Toposurfaces, object library online
Rooms
Curtain walls, floors with RoomFinishing,
2D annotations: lines, dimensions, tags, text, hatches and other 2D tools
2D/3D Views setup, Details views, animations, solar study.
Pages setup
Object’s family: parameters – examples of family’s modification
Quantity takeoff

Final exam (100%)

Lecture scripts [moodle]
Intranet site developed specifically.
Resources sites (Moodle, Autodesk and YouTube tutorials)
Free access to educational software licences
Inventor Professional Revit Documentation and Online help
Ascent Productivity Platform
MemoTech – Dessin Technique et norm CAO – C.Hazard
Precis de construction mecanique – R.Quatremer – Nathan
Guide du Dessinateur industriel – A.Chevalier – Hachette
Technisches Zeichnen – Hoischen – Edition Cornelsen / Girardet
“Fundamentals of Machine Elements, Third Edition: SI Version”, Steven R. Schmid, Bernard J. Hamrock, Bo. O. Jacobson.
“Fundamentals of Machine Components Design”, R. C. Juvinall, Kurt M. Marshek.
„Roloff/Matek Maschinenelemente“, Herbert Wittel, Dieter Muhs, Dieter Jannasch, Joachim.Voßiek.
“Engineering Drawing and Design”,�� 5th Edition, David A. Madsen, David P. Madsen

• Course title: CAD Engineering Drawings
• Number of ECTS: 0
• Course code: BENG-142
• Module(s): CAD Mechanical Engineering
• Language: FR, EN
• Mandatory: Yes

The main objectives are:

• Development of a professional knowledge in technical communication tools available in actual design offices. The focus will be on understanding the different methodology of numerical model creation, using full 3D parametric capabilities.


• Generation, Dimensioning and tolerancing of parts and systems.


• Comprehension and production of Engineering drawings for use in different Engineering specialisations.
  

The students in the defined scope of the course can:

• Professionally work with a commonly used commercial CAD software (Inventor or Revit) in order to generate 3D Models (feature based and parametric), Assembly systems and Engineering Drawings.


• Understand various capabilities and limitations of CAD software in different industries (Mechanical and Civil).


• Generate parametric design of Products and Systems including sustainability constraints, dimensioning and tolerancing, validation and optimization of systems using simulation. The concept of virtual factory will be introduced (Manufacturing Production process) and various technology of Rapid Prototyping.


• Communicate technical concepts using industrial modern tools, and to understand the various standards and practices in the field of technical engineering drawings. Students will be able to generate detailed and complete simple engineering systems creating engineering drawings.
  

As this course will address future Mechanical and Civil Engineers, both CAD application software will be reviewed. The learning targets of this course are:

• To understand the concept of functional numerical CAD models based on PLM platform or BIM technology for a collaborative development of industrial systems / buildings. For mechanical engineering, the most important aspects of the virtual product development using Computer Aided Engineering will be reviewed: Concept design, Parametric Modelling, Digital manufacturing and Production process, as well as Rapid prototyping technology.


• To develop a professional knowledge of a commonly used commercial CAD software. CAD software is broadly used in various Engineering offices and the development of such commercial software is in perpetual evolution. CAD is mainly used for the generation of 3D systems and respective engineering drawings, but it is also at the centre of the Product LifeCycle Management (PLM) to integrate various capabilities such as structural simulation (Computer Aided Engineering – CAE), manufacturing (Computer Aided Manufacturing – CAM), Realistic imaging (rendering), Rapid prototyping and Document management.


• To generate basic 3D models and engineering 2D drawings. The students will learn to create engineering drawings and continue using most advanced tools to generate complex system representations. The students will understand the rules of engineering graphics in order to read, generate and understand engineered concepts.

Engineering drawings: (1 ECTS – Common)

• Drawing convention / Principles of Orthographic Projection
• Multiple Views drawing
• Sectional and auxiliary views
• Axonometry (Isometric & Dimetric projection)
• Dimensions and tolerances
• Geometric dimensioning and tolerancing (GDT)
• Functional dimensioning (Definition of part function)
• Fasteners representation & definition
• Surface roughness & Weldment symbol

First session
Midterm Exam (100%) Enginerting drawings

Note / Literatur / Bibliography

Lecture scripts [moodle]
Intranet site developed specifically.
Resources sites (Moodle, Autodesk and YouTube tutorials)
Free access to educational software licences

• Inventor Professional Revit Documentation and Online help


• Ascent Productivity Platform


• MemoTech – Dessin Technique et norm CAO – C.Hazard


• Precis de construction mecanique – R.Quatremer – Nathan


• Guide du Dessinateur industriel – A.Chevalier – Hachette


• Technisches Zeichnen – Hoischen – Edition Cornelsen / Girardet


• “Fundamentals of Machine Elements, Third Edition: SI Version”, Steven R. Schmid, Bernard J. Hamrock, Bo. O. Jacobson.


• “Fundamentals of Machine Components Design”, R. C. Juvinall, Kurt M. Marshek.


• „Roloff/Matek Maschinenelemente“, Herbert Wittel, Dieter Muhs, Dieter Jannasch, Joachim.Voßiek.


• “Engineering Drawing and Design”,�� 5th Edition, David A. Madsen, David P. Madsen
  

• Course title: Elektrotechnik I
• Number of ECTS: 5
• Course code: BENG-7
• Module(s): Elektrotechnik I
• Language:
• Mandatory: Yes

Initier les étudiants aux principes fondamentaux et aux méthodes de calcul en rapport avec l’énergie électrique, les montages et circuits électriques, magnétiques et électromagnétiques, à courant continu.

Vorlesungsinhalte (jeweils ein getrenntes Kapitel):
Kapitel 1: Elektrizität und Aufbau der Materie
–�� �� �� �� �� Grundbegriffe der Elektrizitätslehre, Einheiten
–�� �� �� �� �� Elektrischer Widerstand und Ohm‘sches Gesetz, Widerstandsschaltungen
–�� �� �� �� �� Grundlagen der Netzwerkberechnungen
–�� �� �� �� �� Verfahren: Ersatzspannungsquelle, Überlagerung, Maschenstrom,�� �� �� �� �� �� ��
�� �� �� �� �� �� Knotenpunktpotential
–�� �� �� �� �� Energie und Leistung
Kapitel 2:��
– Elektrostatisches Feld, Verschiebungsflussdichte, elektrische. Feldstärke
– Kondensatoren, Ladung, Entladung
Kapitel 3:��
–�� �� �� �� �� Magnetisches Feld, magn. Feldstärke, Fluss, Flussdichte
–�� �� �� �� �� Kraft im Magnetfeld
–�� �� �� �� �� Magnetischer Kreis
��Praktika: (kann durch praktische Übungen ersetzt werden)
–�� �� �� �� �� Netzwerke
–�� �� �� �� �� Kraft im Magnetfeld

TP/TD – Examen 120 min (80%-100%) Prestations facultatives 90 min (20%)

On moodle

Alexander von Weiss: Allgemeine Elektrotechnik

• Course title: Mathematik II
• Number of ECTS: 6
• Course code: BENG-10
• Module(s): Mathematik II
• Language: FR
• Mandatory: Yes

Les cours de mathématiques II a pout but de fournir aux étudiants les bases��
nécessaires entre autre en calcul différentiel et intégral de fonctions d’une et de
plusieurs variables, en équations différentielles et en algèbre linéaire pour la
maîtrise des application de ces notions en sciences de l’ingénieur����

L’ étudiant(e) ayant suivi avec succès les cours de mathématiques II est capable de : comprendre et utiliser le langage mathématique de base des disciplines concernées, résoudre des exercices d’application, appliquer les notions à des problèmes-type en science de l’ingénieur

1. Intégrales multiples��
o Intégrales doubles en coordonnées cartésiennes et polaires
Applications : Aire; centre de gravité et moment d’inertie d’une surface
o Intégrales triples en coordonnées cartésiennes, cylindriques et sphériques
Applications : Volume; centre de gravité et moment d’inertie d’un corps
2. Equations différentielles��
o Equations différentielles du 1er ordre
Equation diff. à variables séparables
Equations diff. homogènes
Equations diff. linéaires et équations diff. de Bernoulli
o Equations différentielles du 2nd ordre
Equations diff. du 2. ordre se ramenant à des équations diff. du 1.ordre
Equations diff. du 2. ordre à coefficients constants
3. �� Calcul matriciel��
o Notions de matrices et opérations matricielles (Somme; Multiplication; Transposée)
o Déterminants (Règle de Cramer; Règle de Sarrus; Mineurs d’un déterminant)
o Matrice régulière et singulière; Matrice adjointe et inverse
o Systèmes d’équations linéaires à l’aide de la méthode par inversion de la matrice et à l’aide de la méthode de Gauss��
Valeurs et vecteurs propres

Prestation et Examen

• Course title: Technische Mechanik II
• Number of ECTS: 5
• Course code: BENG-11
• Module(s): Technische Mechanik II
• Language: DE, EN
• Mandatory: Yes

Theoretische Grundlagen und Berechnungsmethoden zum Verständnis der Wirkung von äußeren Belastungen auf die Verformung elastischer Körper.��

Der Studierende versteht den Zusammenhang zwischen äußerer Belastung und Verformung elastischer Körper und kann die mathematischen Beziehung unter Berücksichtigung des Stoffgesetzes nachvollziehen. Sie/Er kann den Spannungszustand ebener Systemen berechnen. Sie / Er beherrscht die Berechnung des Spannungszustandes und Verformungszustandes für Stab- und Biegebalken. .

��Einführung in die Elastostatik
Zug und Druck in Stäben:��
Spannung, Dehnung und Stoffgesetz am Einzelstab, in stat. Bestimmten und unbestimmten System��
���貹�ԲԳܲԲ������ܲ��ٲ��Ի�:��
Spannungsvektor / Spannungstensor��
Ebener Spannungszustand
�Ჹ�ܱ�ٲ��貹�ԲԳܲԲ����,��
Mohrscher Spannungskreis��
Biegung:
Normalspannung infolge Biegung��
Flächenträgheitsmomente – Verschiebung der Bezugsachsen – Hauptachsen��
Biegelinie ebener Systeme��
Schiefe Biegung, Kernquerschnitt��
Schubspannung
Infolge Querkraft
In dünnwandigen Querschnitten��

Klausur und Übungsaufgaben zum Selbststudium – Zulassung zur Klausur nur mit anerkannten Übungsaufgaben

Vorlesungsunterstützende Arbeitsblätter

Technische Mechanik 2 – Elastostatik;�� Gross, Hauger, Schröder, Wall; 11. Auflage Springer 2012
Engineering Mechanics 2 – Mechanics of Materials; Gross, Hauger, Schröder, Wall; 1.Auflage Springer 2011
Technische Mechanik- Festigkeitslehre, Holzmann, Meyer, Schumpich; 12. Auflage – Springer Vieweg Verlag 2016��

��

• Course title: Informatik II
• Number of ECTS: 4
• Course code: BENG-12
• Module(s): Informatik II
• Language: EN, DE
• Mandatory: Yes

Advanced lecture based on Informatik I��

Lernstoff: weitere Grundelemente wie u.a. benutzerdefinierte Variablentypen (UDT bzw. Strukturen), Dateien (Sequentielle Dateien, Direktzugriffsdateien, Binäre Dateien) und Anwendungsprojekte.
Programmieren von Anwendungsbeispielen.
Die jetzige Vorlesung Informatik II wird inhaltlich etwa überarbeitet und im Volumen erweitert werden.

Programmerstellung in Vorlesung Schriftliche Prüfung

• Course title: Design Project Based Learning
• Number of ECTS: 3
• Course code: BENG-13
• Module(s): Design Project Based Learning
• Language: EN
• Mandatory: Yes

Enhance multidisciplinary skills and interests for the students in the interdisciplinary fields of engineering trough Project Based Learning tools

The students in the defined scope of the course can:
Discover different fields of Engineering (mainly Mechanical and Civil Engineering)
Develop and apply basics knowledge and skills from multidisciplinary fields.
Define, Develop, Manufacture, Assemble Optimise technical designs and solutions.
Acquire knowledge though self-study.
Plan, Organise and Manage projects and develop team working.
Increase Problem-solving skills; develop engineering method to develop systems, critical thinking, and analysis.
Report on self-assignment, document technical solutions

Design Project Based Learning is an engineering technical challenge based on project-based learning concept, used to enhance multidisciplinary skills, motivation and interests for the students. Students will define, develop, manage, realise, and present in groups an Inter-disciplinary project, involving different aspects of engineering (Mechanical & Civil construction). Although the students do not have complete knowledge of different engineering fields, it is required that they demonstrate initiative and motivation to manage the project. The focus will be put on the practical aspect of the project. An introduction to Engineering Drawings, CAD & desktop Manufacturing tools (Rapid Prototyping via 3D Printing and Laser cutting) will be done. This project is developed using various techniques of Problem Based Learning. The project will end with a competition where the different groups will evaluate their design and systems against each other in a convivial and competitive way.

Project assessment: Report, Presentation and Competition
Peer assessment between teams and inside teams
Team Personal Assessment

Lecture script (Moodle)

Software documentation
Machine documentation for desktop manufacturing

Autodesk inventor Documentation and Online help
MemoTech – Dessin Technique et norm CAO – C.Hazard
Precis de construction mecanique – R.Quatremer – Nathan
Guide du Dessinateur industriel – A.Chevalier – Hachette
Technisches Zeichnen – Hoischen – Edition Cornelsen / Girardet
“Fundamentals of Machine Elements, Third Edition: SI Version”, Steven R. Schmid, Bernard J. Hamrock, Bo. O. Jacobson.
“Fundamentals of Machine Components Design”, R. C. Juvinall, Kurt M. Marshek.
„Roloff/Matek Maschinenelemente“, Herbert Wittel, Dieter Muhs, Dieter Jannasch, Joachim.Voßiek.
“Engineering Drawing and Design”,�� 5th Edition, David A. Madsen, David P. Madsen

• Course title: Thermodynamik I
• Number of ECTS: 5
• Course code: BENG-20
• Module(s): Thermodynamik I
• Language: DE
• Mandatory: Yes

Ziel der Vorlesung ist es die Grundlagen der Thermodynamik zu vermittels und auf technische Energieumwandlungs- Prozesse anzuwenden um diese analysieren und auslegen zu können.

Der Student lernt innerhalb der Vorlesung mit den Begriffen:
Thermodynamisches System
Thermodynamische Zustands- und Prozessgröße
Thermodynamische Zustandsgleichung
umzugehen. Durch Anwendung der thermodynamischen Hauptsätze wird der Student in die Lage versetzt technische Energieumwandlungsprozesse analysieren, bewerten und auslegen zu können. Nach Behandlung des Modelsystem „Ideales Gas“ wird das gelernte auf rechtläufige thermodynamische Kreisprozesse zur Beschreibung von Wärmekraftmaschinen angewendet.

Die Vorlesung ist in folgende Kapitel untergliedert:
Grundlagen der Thermodynamik, System, Zustands- und Prozessgössen, Zustandsgleichungen
Material- und Stoffeigenschaften
1. Hauptsatz der Thermodynamik
2. Hauptsatz der Thermodynamik
Ideales Gas
Thermischen Mschinen

Klausur
Zulassung zur Klausur: Zusätzlich zu den Übungsblättern werden an die Studenten Aufgabenblätter mir Verständnisfrage verteilt. Diese Aufgaben müssen die Studenten im Rahmen der Übung lösen und die Lösungen abgegeben. Die Lösungen werden korrigiert und bewertet Damit lassen sich Punkte sammeln. Um zur Klausur zugelassen zu werden müssen mindestens 65 % der Gesamtsumme der Punkte aller Aufgabenblätter erreicht werden. Für Wiederholungs-Prüfungen bleibt die früher erworbene Prüfungszulassung erhalten.

Präsentationsfolien, Tafelanschrieb, Übungsaufgaben

Thermodynamik, Langeheinecke, Springer Verlag
Technische Thermodynamik, Cerbe, Hoffmann, Hanser Verlag
Grundlagen der Technischen Thermodynamik, Döhring, Springer
Thermodynamik, Baehr, Springer Verlag
Thermodynamik, Mayinger, Springer Verlag

• Course title: Werkstoffkunde
• Number of ECTS: 6
• Course code: BENG-21
• Module(s): Werkstoffkunde
• Language: DE
• Mandatory: Yes

The course is considered as a general introduction to material science. The purpose of the course is to impart a general knowledge about the behaviour of metals and alloys in applied engineering
The main part of the course provides an introduction to the world of metals.��
From ore to steel, structure of metals up to application examples.��
An excursion to the steel plant of Arcelor Mittal in Esch Belval and the laboratory of the university is also foreseen.

Main Topics:
– Microstructure and properties of metals (ferrous and nonferrous), ceramics,�� �� synthetic materials (plastics)
– Heat treatment of ferrous materials
– Fatigue behaviour, corrosion, welding, and material testing.
– Ceramics
– Synthetic materials

Written exam (German / English)��

• Course title: Mathematik III
• Number of ECTS: 6
• Course code: BENG-50
• Module(s): Mathematik III
• Language: DE, EN
• Mandatory: Yes

Vermitteln des Grundwissens verschiedener Methoden der höheren Mathematik und der Statistik und Wahrscheinlichkeitsrechnung��

Die HörerInnen
entwickeln ein grundlegendes Verständnis für die vorgestellten Methoden der höheren Mathematik und der Statistik und Wahrscheinlichkeitsrechnung.
können die vorgestellten Methoden der höheren Mathematik und die der Statistik und Wahrscheinlichkeitsrechnung beschreiben.
können die vorgestellten Methoden der höheren Mathematik und die der Statistik und Wahrscheinlichkeitsrechnung anwenden um technische Probleme zu lösen.

Das Modul ist zweigeteilt in Methoden der höheren Mathematik und Statistik und Wahrscheinlichkeitsrechnung.
Inhalte Teil Methoden der höheren Mathematik: Mathematische Beweisführung; Folgen und unendliche Reihen; Mac-Laurin-, Taylor- und Fourier-Reihen; Laplace-Transformation und ihre Anwendungen.
Inhalte Teil Statistik und Wahrscheinlichkeitsrechnung: Häufigkeitsverteilungen; Maße der zentralen Tendenz; Maße der Streuung; Elementare Wahrscheinlichkeitstheorie; Binomial-, Normal-, Hypergeometrisch- und Poisson-Verteilung; Elementare Stichprobentheorie; Statistische Schätztheorie; Statistische Entscheidungstheorie; Theorie der kleinen Stichproben; Chi-Quadrat-Test; Kurvenanpassung mit der Methode der kleinsten Quadrate; Korrelationstheorie.

Die Vorlesung wird in den Teilen Methoden der höheren Mathematik und Statistik und Wahrscheinlichkeitsrechnung durchgeführt, welche jeweils durch eine Mitarbeitskontrolle abgeschlossen werden. Die Noten dieser Tests tragen bis zu 20% zur Gesamtnote bei. Die Gesamtnote setzt sich dann aus den Punkten der 3-stündigen Semesterprüfung und den erreichten Punkten der beiden Tests zusammen.

Vorlesungsunterlagen mit Videos und Beispiele werden in Moodle zur Verfügung gestellt.

Mathematik für Ingenieure und Naturwissenschaftler, Band 1, 2 und 3, Lothar Papula, Verlag Viewegs (DE)
Engineering Mathematics, Stroud and Booth, Palgrave (EN)��
Advanced Engineering Mathematics, Zill Cullen, Jones Bartlett (EN)
Statistik – Das Lehrbuch, Spiegel und Stephens, mitp UTB Verlag (DE)
Statistics – Spiegel and Stephens, Schaum’s Outlines, McGrawHill (EN)
Wahrscheinlichkeitsrechnung und Statistik, Sachs, Hanser (DE)��

• Course title: Technische Mechanik III
• Number of ECTS: 5
• Course code: BENG-51
• Module(s): Technische Mechanik III
• Language: EN
• Mandatory: Yes

Completion of statics and strength of materials and introduction to dynamics | Abschluss der Statik Festigkeitslehre und Einführung in die Dynamik

Dimensioning of beam structures | Dimensionierung von Balkenstrukturen��
Dynamics of a point mass and rigid bodies, single-mass vibration | Kenntnis der Kinetik des Massepunktes und des starren Körpers, Einmassenschwinger

Statically Indeterminate Structures |Statisch unbestimmte Systeme
Torsion of Prismatic Bars | Torsion prismatischer Stäbe
Shear Stresses caused by shear force | Schubbeanspruchung durch Querkräfte
Compound Stresses |Haupt- und Vergleichspannungen, Zusammengesetzte Beanspruchung
Stability problems |Knicken und Beulen
Rotationally symmetric stress in shells of revolution | Rotationssymmetrischer Spannungszustand in Scheiben
Motion of a PointMass | Bewegung des Massepunktes
Kinematics and Kinetics |Kinetik und Kinematik��
Dynamics of Systems of Point Masses |Kinetik eines Systems von Massepunkten
Dynamics of Rigid Bodies.| Bewegung des starren Körpers
Principles of Mechanics | Prinzipien der Mechanik
Vibrations | Einmassenschwinger

Writen exam, 120min + grade homework/project |Schriftl. Examen�� , 120 min + benotete Hausaufgaben.

The repartition of the final mark is: 80% exam, 20% graded homework for winter session. In summer session 100% retake exam.

Gross, Dietmar Hauger, Werner Schröder, Jörg Wall, Wolfgang Bonet, Javier. (2018). Engineering Mechanics 2. 10.1007/978-3-662-56272-7.
Holzmann, Meyer, Schumpich, Technische Mechanik, Festigkeitslehre, Springer Vieweg, ISBN 978-3-658-14722-8
Gross, Dietmar Hauger, Werner Schröder, Jörg Wall, Wolfgang Govindjee, Sanjay. (2011). Engineering Mechanics 3, Dynamics. 10.1007/978-3-642-14019-8.
Gross, Hauger, Schröder, Wall, Technische Mechanik 3, Kinetik, Springer Vieweg, ISBN 978-3-642-29528-7

• Course title: Fertigungstechnik I
• Number of ECTS: 5
• Course code: BENG-42
• Module(s): Fertigungstechnik I
• Language: DE
• Mandatory: Yes

Nach dem Besuch dieses Kurses können die Studenten die wichtigsten Fertigungstechnologien benennen und nach der Struktur von DIN 8580 einordnen. Sie kennen die zugehörigen industriellen Prozessschritte und wenden die Klassifizierung der Technologien nach DIN 8580 an, wie z.B. Urformung, Umformen, Trennen, und Fügen. Sie sind in der Lage, alternative Fertigungsverfahren zu benennen und können bei gegebenen Restriktionen Unterschiede erläutern.
Die Studierenden können den Stand der Technik in der Fertigung auflisten und beschreiben. Die Studierenden verstehen die Auswirkungen der Fertigung auf Kosten, Qualität und Energie, was sie in die Lage versetzt, die Möglichkeiten der Fertigung zu wiederholen.
Die Studenten verstehen können die fertigungstechnischen Prozesse und Verfahren erklären. Sie haben die Verfahren zur Planung bzw. zum Aufbau von Fertigungsanlagen verstanden.
��
Auf der Grundlage dieses technologischen Verständnisses sind die Studierenden in der Lage, die Auswahl und Planung von Fertigungsprozessen zu erläutern und geeignete Fertigungs- und Montagetechnologien zu identifizieren und auszuwählen.
Nach dem Besuch dieses Kurses können die Studenten den Fertigungsablauf und die wichtigsten Fertigungstechnologien in einem modernen Unternehmen verstehen, so dass sie dieses Wissen auch auf ein neues Umfeld übertragen und anwenden können.

Diese Fertigungstechnologien und ihr spezifischer Einsatz von Ressourcen werden erörtert:��
– Urformen (Gießen, Sintern, Strangpressen, additive Fertigung, …)
– Umformung (Massivumformung, Blechumformung, Ziehen, Biegen, …)
– Trennen (Trennverfahren mit geometrisch bestimmter Schneide: Drehen, Fräsen, Trennverfahren mit geometrisch unbestimmter Schneide Schleifen, …)
– Beschichten (Reinigen, Verzinken, Lackieren, …)��
– Fügen (Schweißen, Schrauben, Kleben)
– Manuelle und automatisierte Montageprozesse
– Planung und Management der industriellen Produktion (Fertigung und Montage)

Schriftliches Examen

Vorlesungsbegleitendes Script

Im Script jeweils angegeben

• Course title: Fluid Mechanics
• Number of ECTS: 4
• Course code: BENG-43
• Module(s): Fluid Mechanics
• Language: EN
• Mandatory: Yes

The course provides an introduction to basic concepts of hydrostatics and dynamics of incompressible fluids. Furthermore, Bernoulli’s principle is addressed to describe a streaming fluid with its pressure and velocity distribution. Hereafter, the course extends above indicated�� subjects by conservation of momentum and laminar and turbulent flow through pipes and open channels.

The participants will be able to analyse pressure distributions of static fluids and to evaluate the relationship between pressure, geodetic height and velocity of fluids. The participants will be able to estimate the flow behaviour under the influence of forces acting and pressure losses of pipe flows.

Introduction:
Properties of liquids and gases
Hydrostatics
Static pressure
Applications
Hydrodynamics:
Kinematic of fluids
Conservation of mass
Bernoulli’s principle
Applications
Based on the above-mentioned principles, he course describes the flow of in-compressible fluids driven by forces such as gravity and pressure. Furthermore, it includes correlations to estimate the pressure loss for pipe flows under various flow conditions:
Conservation of momentum
Laminar flow
Turbulent flow

Written examination (120 min)

Lecture and exercise script including solutions is provided

Further literature is to be found in the script.

• Course title: Machine Design Elements I
• Number of ECTS: 3
• Course code: BENG-44
• Module(s): Machine Design I
• Language: EN
• Mandatory: Yes

The objectives of the course are:
To gain knowledge of the design of machine elements in the scope of the course
to introduce and use advanced design methods of mechanical parts and systems, using CAD CAE
to build base student knowledge of machine design, which is needed for their projects applied in mechanical construction projects

The student in the defined scope of the course is able to:
carry out a design process of mechanical parts and systems and generate respective engineering drawings in a CAD software
design machine elements in the scope of the course
introduce and use advanced design methods of mechanical parts��
use analytical equations of mechanics to design machine elements and implement standard components to define own technical solutions
solve technical problems using previously acquired knowledge of subjects: mechanics, strength of materials, machine element design and technical drawings
design and analyse simple mechanical parts and system
use Mathcad as a tool for advanced engineering calculations
create, develop and manage various CAD models (parts, assemblies, drawings and animation) and acquire working knowledge of CAD software

Based on various projects and assignments during the semester, the students will develop their knowledge and methodology for CAD model conception (parametric and in assembly modelling). The projects will focus on the use and implementation of Standard mechanical elements, as well as the creation and definition of parts and assembly drawings of a simple mechanism. The various CAD software functionalities will be reviewed. The project will introduce the project development process.
Machine Design Elements I:
Introduction tolerances and fits. Deviations of form and position and surface roughness
Introduction to material and manufacturing
Stress and strain /deformation
Shafting and associated parts
Rolling-element bearings
Failure prediction for static loading
Fasteners, connection, and power screws
Fasteners, connection, and power screws – weld connections
Fasteners, connection, and power screws – snap-fit connections
Fasteners, connection, and power screws – glue connections

60 % for Machine Design Fundamentals (100 % Exam)
40 % for Machine Design Construction (100% Project assessment)

Scripts on Moodle
During the course, students will get computer-based�� presentations and exercises in Mathcad Prime.Autodesk Inventor will be used for practical design exercises.

“Fundamentals of Machine Elements, Third Edition: SI Version”, Steven R. Schmid, Bernard J. Hamrock, Bo. O. Jacobson.
“Fundamentals of Machine Components Design”, R. C. Juvinall, Kurt M. Marshek.
„Roloff/Matek Maschinenelemente“, Herbert Wittel, Dieter Muhs, Dieter Jannasch, Joachim.Voßiek.
“Engineering Drawing and Design”,�� 5th Edition, David A. Madsen, David P. Madsen
Autodesk inventor Documentation and Online help
MemoTech – Dessin Technique et norm CAO – C.Hazard
Precis de construction mecanique – R.Quatremer – Nathan
Guide du Dessinateur industriel – A.Chevalier – Hachette
Technisches Zeichnen – Hoischen – Edition Cornelsen / Girardet

• Course title: Machine Design Construction I
• Number of ECTS: 2
• Course code: BENG-57
• Module(s): Machine Design I
• Language: EN
• Mandatory: Yes

The objectives of the course are:
To gain knowledge of the design of machine elements in the scope of the course
to introduce and use advanced design methods of mechanical parts and systems, using CAD CAE
to build base student knowledge of machine design, which is needed for their projects applied in mechanical construction projects

The student in the defined scope of the course is able to:
carry out a design process of mechanical parts and systems and generate respective engineering drawings in a CAD software
design machine elements in the scope of the course
introduce and use advanced design methods of mechanical parts��
use analytical equations of mechanics to design machine elements and implement standard components to define own technical solutions
solve technical problems using previously acquired knowledge of subjects: mechanics, strength of materials, machine element design and technical drawings
design and analyse simple mechanical parts and system
use Mathcad as a tool for advanced engineering calculations
create, develop and manage various CAD models (parts, assemblies, drawings and animation) and acquire working knowledge of CAD software

Based on various projects and assignments during the semester, the students will develop their knowledge and methodology for CAD model conception (parametric and in assembly modelling). The projects will focus on the use and implementation of Standard mechanical elements, as well as the creation and definition of parts and assembly drawings of a simple mechanism. The various CAD software functionalities will be reviewed. The project will introduce the project development process.
Machine Design Construction I :
Deepen CAD knowledge (In assembly modelling) and software functionalities
Generation of simple mechanism (Conception of parts and assembly – Simulation)
Definition drawings of parts and assembly (Functional dimensioning of simple mechanism)
Introduction to usual mechanical links – review of technical solution and analysis of kinematics sketch
Design and development of machine design using standard elements
Presentation of Parts and systems using engineering drawing, explosion and animation

��

��

��

60 % for Machine Design Fundamentals (100 % Exam)
40 % for Machine Design Construction (100% Project assessment)

Scripts on Moodle

During the course, students will get computer-based�� presentations and exercises in Mathcad Prime.Autodesk Inventor will be used for practical design exercises.

“Fundamentals of Machine Elements, Third Edition: SI Version”, Steven R. Schmid, Bernard J. Hamrock, Bo. O. Jacobson.
“Fundamentals of Machine Components Design”, R. C. Juvinall, Kurt M. Marshek.
„Roloff/Matek Maschinenelemente“, Herbert Wittel, Dieter Muhs, Dieter Jannasch, Joachim.Voßiek.
“Engineering Drawing and Design”,�� 5th Edition, David A. Madsen, David P. Madsen
Autodesk inventor Documentation and Online help
MemoTech – Dessin Technique et norm CAO – C.Hazard
Precis de construction mecanique – R.Quatremer – Nathan
Guide du Dessinateur industriel – A.Chevalier – Hachette
Technisches Zeichnen – Hoischen – Edition Cornelsen / Girardet

• Course title: Regelungstechnik I
• Number of ECTS: 5
• Course code: BENG-45
• Module(s): Regelungstechnik I
• Language: DE, EN
• Mandatory: Yes

Einführung in die Regelungstechnik

Experimentelle mathematische Identifikation dynamischer Systeme und grundlegende Strategien zur Reglerauslegung

Problemstellung der Regelungstechnik
Wichtige Eigenschaften von Regelsystemen
Beschreibung linearer kontinuierlicher Systeme im Zeitbereich
Beschreibung linearer kontinuierlicher Systeme im Frequenzbereich
Verhalten kontinuierlicher Regelsysteme
Stabilität kontinuierlicher Regelsysteme��
Verhalten kontinuierlicher Regelsysteme

Schriftl. Examen, 120 min

H. Unbehauen, Regelungstechnik I, 15. Auflage, Vieweg Teubner Verlag, ISBN 978-3-8348-0497-6
eigenes Skriptum für den Laborteil��

• Course title: Machine Design Elements II
• Number of ECTS: 4
• Course code: BENG-66
• Module(s): Machine Design II
• Language: EN
• Mandatory: Yes

The objectives of the course are:
To gain knowledge of the design of machine elements in the scope of the course
to introduce and use advanced design methods of mechanical parts, CAD CAE
to build base student knowledge of machine design, which is needed for their projects applied in mechanical construction

The student in the defined scope of the course is able to:
Carry out a design process of mechanical objects and has sufficient knowledge to model and generate engineering drawings of the machine in a CAD software
Use practically analytical equations of mechanics to design machine elements.
solves technical problems using previously acquired knowledge of subjects: mechanics, strength of materials, machine element design I and CAD.
Design and to analyse simple mechanical parts, for instance, a gear train.
Use Mathcad software as a tool for advanced engineering calculations.
to gain knowledge of the design of machine elements in the scope of the course
use analytical equations of mechanics to design machine elements and implement standard components to define own technical solutions
to create, develop and manage various CAD models (parts, assemblies and drawings) and acquire working knowledge of CAD software

Machine Design Elements II:
Press-fit connection/stress and deformation in cylinders and tanks
Lubrication, friction, and wear
Hydrodynamic and hydrostatic bearings/ bearing
Fatigue and impact
General gear theory and spur gears
Helical gear
Bevel and worm gears
Planetary gear train
Teeth correction
Design of manual gearboxes
Machine Design Construction II:
Deepen CAD knowledge (In assembly modelling) and software functionalities
Generation of simple mechanism (Conception of parts and assembly – Simulation)
Definition drawings of parts and assembly (Functional dimensioning of simple mechanism)
Introduction to usual mechanical links – review of technical solution and analysis of kinematics sketch
Design and development of machine design using standard elements.

50 % Exam – min 07/20
50 % Project – min 07/20

Scripts on Moodle
During the lecture, a computer presentation and practical exercises using Mathcad Prime engineering software will be employed.
Additionally, Autodesk Inventor/ Fusion 360 (3D CAD) will be used for practical design exercises

“Fundamentals of Machine Elements, Third Edition: SI Version”, Steven R. Schmid, Bernard J. Hamrock, Bo. O. Jacobson.
“Fundamentals of Machine Components Design”, R. C. Juvinall, Kurt M. Marshek.
„Roloff/Matek Maschinenelemente“, Herbert Wittel, Dieter Muhs, Dieter Jannasch, Joachim.Voßiek.
“Engineering Drawing and Design”,�� 5th Edition, David A. Madsen, David P. Madsen
Autodesk inventor Documentation and Online help
MemoTech – Dessin Technique et norm CAO – C.Hazard
Precis de construction mecanique – R.Quatremer – Nathan
Guide du Dessinateur industriel – A.Chevalier – Hachette
Technisches Zeichnen – Hoischen – Edition Cornelsen / Girardet

• Course title: Machine Design Construction II
• Number of ECTS: 5
• Course code: BENG-65
• Module(s): Machine Design II
• Language: EN
• Mandatory: Yes

The objectives of the course are:
To gain knowledge of the design of machine elements in the scope of the course
to introduce and use advanced design methods of mechanical parts, CAD CAE
to build base student knowledge of machine design, which is needed for their projects applied in mechanical construction

The student in the defined scope of the course is able to:
Carry out a design process of mechanical objects and has sufficient knowledge to model and generate engineering drawings of the machine in a CAD software
Use practically analytical equations of mechanics to design machine elements.
solves technical problems using previously acquired knowledge of subjects: mechanics, strength of materials, machine element design I and CAD.
Design and to analyse simple mechanical parts, for instance, a gear train.
Use Mathcad software as a tool for advanced engineering calculations.
to gain knowledge of the design of machine elements in the scope of the course
use analytical equations of mechanics to design machine elements and implement standard components to define own technical solutions
to create, develop and manage various CAD models (parts, assemblies and drawings) and acquire working knowledge of CAD software

Machine Design Elements II:
Press-fit connection/stress and deformation in cylinders and tanks
Lubrication, friction, and wear
Hydrodynamic and hydrostatic bearings/ bearing
Fatigue and impact
General gear theory and spur gears
Helical gear
Bevel and worm gears
Planetary gear train
Teeth correction
Design of manual gearboxes
Machine Design Construction II:
Deepen CAD knowledge (In assembly modelling) and software functionalities
Generation of simple mechanism (Conception of parts and assembly – Simulation)
Definition drawings of parts and assembly (Functional dimensioning of simple mechanism)
Introduction to usual mechanical links – review of technical solution and analysis of kinematics sketch
Design and development of machine design using standard elements.

50 % Exam – min 07/20
50 % Project – min 07/20

Scripts on Moodle
During the lecture, a computer presentation and practical exercises using Mathcad Prime engineering software will be employed.
Additionally, Autodesk Inventor/ Fusion 360 (3D CAD) will be used for practical design exercises

“Fundamentals of Machine Elements, Third Edition: SI Version”, Steven R. Schmid, Bernard J. Hamrock, Bo. O. Jacobson.
“Fundamentals of Machine Components Design”, R. C. Juvinall, Kurt M. Marshek.
„Roloff/Matek Maschinenelemente“, Herbert Wittel, Dieter Muhs, Dieter Jannasch, Joachim.Voßiek.
“Engineering Drawing and Design”,�� 5th Edition, David A. Madsen, David P. Madsen
Autodesk inventor Documentation and Online help
MemoTech – Dessin Technique et norm CAO – C.Hazard
Precis de construction mecanique – R.Quatremer – Nathan
Guide du Dessinateur industriel – A.Chevalier – Hachette
Technisches Zeichnen – Hoischen – Edition Cornelsen / Girardet

• Course title: Thermodynamik II
• Number of ECTS: 5
• Course code: BENG-33
• Module(s): Thermodynamik II
• Language: DE
• Mandatory: Yes

Aufbauend auf der Vorlesung Thermodynamik I werden die Kenntnisse in der Thermodynamik II Vorlesung vertieft. Dabei werden zunächst die Thermodynamischen Potentiale und Maxwellrelationen eingeführt, die für verschiedene Gegebenheiten die Berechnung von Systemeigenschaften und Prozesse vereinfachen. In einem weiteren Kapitel werden Gemische sowie Phasenübergänge und Mehrphasensysteme betrachtet. Das dritte Kapitel behandelt die Statistischen Grundlagen der Thermodynamik.

Die Studenten werden im Rahmen der Vorlesung folgende Dinge lernen:
Thermodynamische Systeme und Prozesse mit Hilfe von Thermodynamischen Potentialen zu beschreiben
Gemische und Phasenübergänge von Stoffen zu behandeln
Die Statischen Grundlagen der Thermodynamik

Die Vorlesung ist in flogende Kapitel untergliedert:
Thermodynamische Potentiale
Gemische und Phasenübergänge
Statistische Grundlagen der Thermodynamik

Klausur: 120 Minuten – Open Book

Präsentationsfolien, Tafelanschrieb, Übungsaufgaben

Thermodynamik, Langeheinecke, Springer Verlag
Technische Thermodynamik, Cerbe, Hoffmann, Hanser Verlag
Grundlagen der Technischen Thermodynamik, Döhring, Springer
Thermodynamik, Baehr, Springer Verlag
Thermodynamik: Stephan Mayinger
Herbert B. Callen: Thermodynamics
P. W. Atkins: Physikalische Chemie
C. Kittel: Physik der Wärme
C. S. Helrich: Modern Thermodynamics with Statistical Mechanics
W. Nolting: 4. Spezielle Relativitätstheorie und Thermodynamik
Thermodynamik, Mayinger, Springer Verlag

• Course title: Finite Elemente Methode (statische und dynamische Anwendungen)
• Number of ECTS: 5
• Course code: BENG-68
• Module(s): Finite Elemente Methode (statische und dynamische Anwendungen)
• Language: DE, EN
• Mandatory: Yes

Einführung in die Finite Elemente Methode mit mechanischen Anwendungen

Verständnis der Methode in Statik und Dynamik
Durchführung von Berechnungsbeispielen per Hand und mit dem Programm ANSYS

Einleitung
Allg. Herleitung der Bewegungsgleichungen
Stabelement in der Statik
Biegebalken in der Statik (2 dim. & 3 dim.)
Längsschwingungen eines Stabes
Mehrmassenschwinger��
Homogene Lösung/Modalanalyse
Partikulare Lösung und harmonische Anregung
Massenmatrix durch mathematische Diskretisierung
2 dimensionales Scheibenelement��
ANSYS-Übungen: Square plate (static), 2-D-truss (static), Getriebewelle (static & modal), Corner-Bracket (static), Airplane Wing (modal), 2-Mass-Spring-System (harmonic & transient analysis

Schriftl. Examen, 120 min

Eigenes Skriptum: Teil 1, Teil 2, ANSYS-Übungen

• Course title: Oelhydraulik
• Number of ECTS: 4
• Course code: BENG-69
• Module(s): Oelhydraulik
• Language: DE
• Mandatory: Yes

– Auslegung der wesentlichen Komponenten einer Hydraulikanlage
– Auslegung von hydraulischen Systemen��

Der Gesamtvorlesungsumfang beträgt 70 Stunden. Die Vorlesungen teilen sich hälftig auf Armin Schmidt und Timo Zenner mit je 35 Stunden auf.

Die Studenten haben Grundkenntnisse über die physikalischen Grundlagen der Hydrostatik und vom Druckmedium. Sie können folgendes tun:
– Physikalische Grundlagen,�� Berechnung von Prinziplösungen,�� z.B. Leistung, Kräfte, Moment, Wirkungsgrad, Volumenstrom, Druckverlust��
– Kenntnis und Berechnung der wesentlichen Komponenten einer Hydraulikanlage
– Kenntnis, Berechnung und Bewertung von hydraulischen Systemen

Einführung in die Ölhydraulik: Physikalische Grundlagen, hydraulische Begriffe und Symbole, Drückflüssigkeiten.
Komponenten: Tank, Pumpe, Schlauch- und Rohrleitungen, Ventile, Motoren, Zylinder, Filter, Kühler, Sensorik, Zubehör
Grundlegende Hydrauliksysteme
Exkursion zu Hersteller von Hydraulikkomponenten und –systemen

Schriftliches Examen

Buch “Hydraulik – Grundlagen und Komponenten”, Training-Center@hydac.com, wird den Vorlesungsteilnehmern zur Verfügung gestellt.
Vorlesungsfolien und Übungen auf Moodle.��
Optional Umdruck: RWTH Aachen
Grundlagen der Fluidtechnik, Band 1: Hydraulik, ISBN: 978-3-8440-1223-1
Optional Buch: Ölhydraulik – Grundlagen, Bauelemente, Anwendungen
Gerhard Bauer, Teubner Verlag ISBN 978-3-8351-0247-7

• Course title: Electrical Energy Production Transportation and Distribution
• Number of ECTS: 3
• Course code: MSPC-26
• Module(s): Electrical Energy Production, Transportation & Distribution
• Language: EN
• Mandatory: Yes

1. Knowing the different sources of energy contributing to the production of the electrical energy
2. Knowing the different solutions to network the power units together and with the consumer
3. Knowing the electrical and the mechanical conversion possibilities for the distribution of the electrical energy
4. Understanding the electrical power flow management between the power units together as well as with the consumer
5. Knowing the electrical power quality norms
6. Knowing the power losses generation and its relative cost in the energy systems for a sustainable
and rational use of the electrical energy

The student will acquire a global knowledge about the production, transportation, distribution and conversion of the electrical energy, as well as its transformation into/from the mechanical energy.
The sustainable rational use of the electrical energy as well as the electrical energy management, are also covered.

1. Production of the electrical energy

The energy sources (fossil fuels, nuclear, renewable)
The generation of the electrical energy

2. Transportation of the electrical energy

Electrical power transmission
Power quality norms
Low to high DC and AC voltage grids
Coupling of voltage supplies

3. Conversion and distribution of the electrical energy

Modern distribution systems
Transformation of the electrical energy

4. Sustainable and rational use of the electrical energy

Power losses
Costs of the energy systems

Written exam (100%)

Objectives:

1.To be able to define the fundamental electrical devices used for the production, transformation, transport and distribution of electrical energy
2.To be able to explain the operation of the electrical devices
3.To be able to calculate relevant values of electrical circuits made of passive components

��

Assessment rules:

Based on application exercises (theory, formal calculation simulation) and their correction during the lecture, the student must be able to answer questions and solve similar problems on his/her own.

��

Assessment criteria:

Quality of the answers consisting in a correct communication language (English), the detailed methodology and the calculation results.

Available at the ����ͷ��versity library or on internet:
[1]��http://en.wikipedia.org/wiki/Electric_power
[2] James Northcote-Green, Robert Wilson, “Control and Automation of Electrical Power Distribution
Systems”, Taylor Francis 2007, ISBN 0-8247-2631-6
[3] Peter Zacharias, “Use of Electronic-Based Power Conversion for Distributed and Renewable
Energy Sources”, ISET 2008
[4] Adolf J. Schwab, “Elektroenergiesysteme – Erzeugung, Transport, Übertragung und Verteilung
elektrischer Energie“, Springer 2008, ISBN 3-540-29664-6
[5] H.J. Haubrich, G. Henneberger, H.C. Skudelny, Müller-Hellmann, “Elektrische Energie aus
regenerativen Quellen“, Vorlesung der RWTH Aachen 1994
[6] Andreas Wagner, “Photovoltaik Engineering – Handbuch für Planung, Entwicklung und
Anwendung“, Springer 2006, ISBN 3-540-30732-X
[7] Mark Hankins, “Stand-alone Solar Electric Systems“, Earthscan 2010, ISBN 978-1-84407-713-7
[8] Michael Fette, Rolf Schwarze, Jürgen Voß, “Energieversorgung der Zukunft“, VDE Verlag 1996,
ISBN 3-8007-2174-0

• Course title: Business Management für Studierende im Ingenieurwesen
• Number of ECTS: 4
• Course code: BENG-71
• Module(s): Business Management für Studierende im Ingenieurwesen
• Language: DE
• Mandatory: Yes

Ziel der Vorlesung ist es ,den angehenden Ingenieuren ein Instrumentarium an die Hand zu geben, das es ihnen ermöglicht wirtschaftswissenschaftliche����Sachverhalte zu verstehen, diese auszuwerten und zu interpretieren.
Vermittlung von essentiellen Grundlagen zum Verständnis des ökonomischen��Umfelds. Erarbeitung von wichtigen Methoden und gezieltem Fachwissen zur��Anwendung im späteren Berufsleben.

Die Studierenden sind in der Lage relevante wirtschaftswissenschaftliche Sachverhalte zu verstehen und die erworbenen Kenntnisse und Kompetenzen gegebenenfalls im Berufsleben anzuwenden.

– Begriffsbestimmungen und ökonomische Grundsätze
– Standortwahl
– Rechtliche Aspekte
– Produktionswirtschaft
– Internes Rechnungswesen
– Externes Rechnungswesen��
– Finanzierung
– Angewandte Mathematik der BWL
– Investitionen und Anlagen
– Entscheidungstheorie
– Marketing��
– Business Plan

Abschlussklausur 100%

Grap,R. (Hrsg.): Business Management für Ingenieure, 1.Auflage 2007, Hanser Verlag, München.��
Kilger, W.: Einführung in die Kostenrechnung. 3. Auflage 1987, Gabler Verlag, Wiesbaden
Wöhe, G., Döring, U., Brösel, G.: Einführung in die allgemeine Betriebswirtschaftslehre, 26. Auflage 2016, Verlag Vahlen, München��

• Course title: Energy Systems I
• Number of ECTS: 5
• Course code: BENG-70
• Module(s): Option Energy Systems I
• Language: EN
• Mandatory: No

At the end of this course, students will be able to critically analyse a range of different energy systems. They will identify key sources and sinks, be able to explain the transformations occurring, and use a range of techniques to investigate the different systems with a goal of calculating full mass and energy balances and calculating efficiencies.

Overview of energy systems
Basics of mass balance and energy balance for energy systems
Combustion systems
Electrochemical systems
Renewable energy systems

Final exam, 90 mins.

Support materials and literature will be provided by the lecturer.

• Course title: Machine Design Elements III
• Number of ECTS: 3
• Course code: BENG-95
• Module(s): Machine Design III
• Language: EN
• Mandatory: Yes

The objectives of the course are:
To gain knowledge in the design of machine elements in the scope of the course
to introduce and use advanced design methods of mechanical parts, CAD CAE
to build basic knowledge of machine design, which is needed for their projects applied in mechanical construction

The student in the defined scope of the course is able to:
Carry out a design process of a mechanical, technical object and has sufficient knowledge to model and generate engineering drawings of the machine in a CAD software
Use practically analytical equations of mechanics to design machine elements and implement standard components to define own technical solutions
Use Mathcad as a tool for advanced engineering calculations
Create, develop and manage various CAD models (parts, assemblies and drawings) and acquire working knowledge of CAD software
Design and to analyse complex mechanical parts��
Propose an appropriate technological process of manufacture and assembly for a particular machine element
Understand the concept of the machine element validation and optimisation

Machine Design Elements III:
o Columns and buckling phenomena in machine design
o Springs
o Sealing
o Valves
o Flexible machine elements
o Brakes and clutches
o Cast enclosure designs
o Manual gearbox designs
o Machine element optimisation
Machine Design Construction III:
o Deepen CAD knowledge (In assembly modelling) and software functionalities
o Generation of simple mechanism (Conception of parts and assembly – Simulation)
o Definition drawings of parts and assembly (Functional dimensioning of simple mechanism)
o Introduction to usual mechanical links – review of technical solution and analysis of kinematics sketch
o Design and development of machine design using standard elements.

50 % Exam – Grade 05/20
50 % Project – Grade 05/20

Scripts on Moodle
During the lecture, a computer presentation and practical exercises using Mathcad Prime engineering software will be employed.
Additionally, Autodesk Inventor/ Fusion 360 (3D CAD) will be used for practical design exercises

“Fundamentals of Machine Elements, Third Edition: SI Version”, Steven R. Schmid, Bernard J. Hamrock, Bo. O. Jacobson.
“Fundamentals of Machine Components Design”, R. C. Juvinall, Kurt M. Marshek.
„Roloff/Matek Maschinenelemente“, Herbert Wittel, Dieter Muhs, Dieter Jannasch, Joachim.Voßiek.
“Engineering Drawing and Design”,�� 5th Edition, David A. Madsen, David P. Madsen
Autodesk inventor Documentation and Online help
MemoTech – Dessin Technique et norm CAO – C.Hazard
Precis de construction mecanique – R.Quatremer – Nathan
Guide du Dessinateur industriel – A.Chevalier – Hachette
Technisches Zeichnen – Hoischen – Edition Cornelsen / Girardet

• Course title: Machine Design Construction III
• Number of ECTS: 4
• Course code: BENG-96
• Module(s): Machine Design III
• Language: EN, FR
• Mandatory: Yes

The objectives of the course are:
To gain knowledge in the design of machine elements in the scope of the course
to introduce and use advanced design methods of mechanical parts, CAD CAE
to build basic knowledge of machine design, which is needed for their projects applied in mechanical construction

The student in the defined scope of the course is able to:
Carry out a design process of a mechanical, technical object and has sufficient knowledge to model and generate engineering drawings of the machine in a CAD software
Use practically analytical equations of mechanics to design machine elements and implement standard components to define own technical solutions
Use Mathcad as a tool for advanced engineering calculations
Create, develop and manage various CAD models (parts, assemblies and drawings) and acquire working knowledge of CAD software
Design and to analyse complex mechanical parts��
Propose an appropriate technological process of manufacture and assembly for a particular machine element
Understand the concept of the machine element validation and optimisation

Machine Design Elements III:
o Columns and buckling phenomena in machine design
o Springs
o Sealing
o Valves
o Flexible machine elements
o Brakes and clutches
o Cast enclosure designs
o Manual gearbox designs
o Machine element optimisation
Machine Design Construction III:
o Deepen CAD knowledge (In assembly modelling) and software functionalities
o Generation of simple mechanism (Conception of parts and assembly – Simulation)
o Definition drawings of parts and assembly (Functional dimensioning of simple mechanism)
o Introduction to usual mechanical links – review of technical solution and analysis of kinematics sketch
o Design and development of machine design using standard elements.

50 % Exam – Grade 05/20
50 % Project – Grade 05/20

Scripts on Moodle
During the lecture, a computer presentation and practical exercises using Mathcad Prime engineering software will be employed.
Additionally, Autodesk Inventor/ Fusion 360 (3D CAD) will be used for practical design exercises

“Fundamentals of Machine Elements, Third Edition: SI Version”, Steven R. Schmid, Bernard J. Hamrock, Bo. O. Jacobson.
“Fundamentals of Machine Components Design”, R. C. Juvinall, Kurt M. Marshek.
„Roloff/Matek Maschinenelemente“, Herbert Wittel, Dieter Muhs, Dieter Jannasch, Joachim.Voßiek.
“Engineering Drawing and Design”,�� 5th Edition, David A. Madsen, David P. Madsen
Autodesk inventor Documentation and Online help
MemoTech – Dessin Technique et norm CAO – C.Hazard
Precis de construction mecanique – R.Quatremer – Nathan
Guide du Dessinateur industriel – A.Chevalier – Hachette
Technisches Zeichnen – Hoischen – Edition Cornelsen / Girardet

• Course title: Fertigungstechnik II
• Number of ECTS: 5
• Course code: BENG-97
• Module(s): Fertigungstechnik II
• Language: DE
• Mandatory: Yes

Kenntnisse über Grundlagen, Aufbau, Bauformen von Werkzeugmaschinen sowie der Anforderungen an Werkzeugmaschinen sowie die Umsetzung der fertigungstechnischen Prozesse durch Werkzeugmaschinen in der industriellen Produktion

Überblick über die wichtigsten Arten von Werkzeugmaschinen und die Einordnung in die dazugehörigen fertigungstechnischen Prozesse, systematische Gliederung der Werkzeugmaschinen, Hauptkomponenten, Werkzeugmaschinengestell, Fundamente, Lagerungen und Führungen, Spindel, Antriebe, Getriebe, Steuerung, Ausrüstung von Werkzeugmaschinen, Spanende Werkzeugmaschinen mit definierter Schneide, Spanende Werkzeugmaschinen mit undefinierter Schneide, Umformmaschinen, Wasserstrahlschneidmaschinen, Erodiermaschinen, Grundlagen Automatisierung mit Industrierobotern

Klausur 120 Min.

Vorlesungsfolien
Vorlesungen, evt. Übungsaufgaben und Laborübungen

• Course title: Robotik
• Number of ECTS: 3
• Course code: BENG-98
• Module(s): Robotik
• Language: DE, EN
• Mandatory: Yes

Roboter werden seit Jahren erfolgreich in der Industrie zur Automatisierung eingesetzt. Roboter werden zukünftig mehr und mehr als Assistenzroboter im privaten und öffentlichen Leben auftauchen. Staubsaugroboter, Rasenmähroboter oder Wischroboter sind bereits in vielen Haushalten dankend aufgenommen worden. In Krankenhäusern helfen immer öfter Tele-Manipulatoren als Assistenzsysteme mit intelligenten Funktionen bei Operationen. Roboter übernehmen bereits das Einparken in Parkhäusern. Aber besonders hilfreich werden Assistenzroboter, die kooperativ mit dem Menschen zusammenarbeiten, in der Produktion sein. Zukünftig entstehen neue Arbeitsformen, die Arbeitsplätze mit bisher weitgehend manueller Arbeit produktiver machen.
Die Lehrveranstaltung stellt das spannende Thema Robotik theoretisch und praktisch vor. Die Theorie wird mit Hilfe von MATLAB Übungen und Simulationsübungen erklärt.��
Die Programmierung der Industrie-Roboter wird im Technikum an verschiedenen Geräten geübt. Dabei kann man Roboter bedienen und�� programmieren lernen.

• Aufbau von Roboterplattformen und Roboterarmen
• Kenngrößen der Roboter, Arbeitsraum, Traglasten Genauigkeiten etc.
• mathematische Verfahren zur Beschreibung der Kinematik von Roboterarmen und mobilen Plattformen, homogene Transformationsmatrizen, Orientierungswinkel
• Vorwärts- und Rückwärtstransformation
• Programmierverfahren und Steuerung von Roboterarmen
• Regelung von Robotern
• Einführung in MATLAB
• Test der Verfahren mit MATLAB��
  

Klausur und Bericht zu eigenständig erstellten MATLAB Programmen

Literature:

Craig, J., Introduction to robotics, Pearson EDUCATION
Corke ,P., Robotics, Vision and Control, Springer Tracts in Advanced Robotics
Gerke, W., Robotics and Simulation with MATLAB , Carl Hanser Verlag, to be published in 2026

• Course title: Digital Rapid Prototyping
• Number of ECTS: 5
• Course code: BENG-100
• Module(s): Digital Rapid Prototyping
• Language: EN, FR
• Mandatory: No

The objective of the course is to obtain a working knowledge of all various digital fabrication technologies used to create a system from an optimized CAD model. The geometry and assembly of a product / system is optimized in CAD software and then a high-fidelity prototype will be generated. The course will review all current technologies with direct respective applications.

The students in the defined scope of the course are able to:
Understand the principles, capabilities and limitations of Rapid prototyping technologies and processes
Determine and use appropriate RP technologies depending on applications
Develop and optimize virtual products for generation of high-fidelity prototypes
Use and apply on concrete applications most common technology
Optimize the geometry of product and systems using numerical simulation tools

Basic Principles and capabilities of Additive Manufacturing
Development and process chain of AM
Review of technology
Photopolymerisation
Powder Bed fusion
Extrusion based
Material and Binder jetting
Sheet lamination
Direct Energy deposition
Direct write technologies
Guidelines for process selection
Post-processing
Slicer Softwares
Design for AM
Application for AM
Geometry optimisation using Numerical simulation
Lab direct application

Exam 30%
Project 70%

Scripts on Moodle
Autodesk Inventor/ Fusion 360 (3D CAD) will be used for practical design exercises
Introduction to various slicer software for AM
Ansys Workbench

• Course title: Chemical Principles in Engineering
• Number of ECTS: 5
• Course code: BENG-152
• Module(s): Chemical Principles in Engineering
• Language: EN
• Mandatory: No

• Course title: Thermal labs
• Number of ECTS: 4
• Course code: BENG-153
• Module(s): Thermal labs
• Language: EN
• Mandatory: No

• Course title: Bachelor Thesis
• Number of ECTS: 12
• Course code: BENG-106
• Module(s): Bachelor Thesis
• Language:
• Mandatory: Yes

• Course title: Propriété Intellectuelle et Veille Technologique
• Number of ECTS: 2
• Course code: BENG-105
• Module(s): Ergänzung Mobilitätssemester
• Language: FR
• Mandatory: No

-Comprendre l’importance de la protection du patrimoine immatériel et les bases de la propriété intellectuelle (brevets, marques, dessins modèles, droits d’auteur).
-Comprendre l’importance de l’exploitation systématique des informations techniques contenues dans les brevets d’invention.
-Savoir utiliser les bases de données brevets et adapter sa stratégie de recherche d’information.
-Familiariser l’étudiant avec les pratiques de veille et apprendre les techniques de base pour rechercher, analyser et protéger les informations nécessaires pour mener un projet d’innovation.

1. Importance de la protection du patrimoine immatériel et de la propriété intellectuelle dans l’économie de la connaissance
– Les principaux droits de PI
– Logiciels, Open source et Intelligence Artificielle
– Confidentialité et contrats
2. L’information brevets et les bases de données��
– Le système des brevets
– Les informations contenues dans un brevet
– Les bases de données accessibles en ligne
3. Bonnes pratiques de recherche dans les brevets��
– Les méthodes d’interrogation des bases de données
– Elaborer une stratégie de recherche
– Exercices pratiques (Recherche brevet sur Espacenet / Patentscope)
4. Veille technologique��
– La veille et son utilité
– Infométrie, statistiques et analyses
– Exercices pratiques (Statistiques brevets sur Espacenet)

Examen final 120 min

Documentation et didacticiel des bases de données brevets (ressources en ligne)
Webographie veille technologique et intelligence économique (ressources en ligne)

• Course title: Chemical Principles in Engineering
• Number of ECTS: 5
• Course code: BENG-152
• Module(s): Ergänzung Mobilitätssemester
• Language: EN
• Mandatory: No

• Course title: Thermal labs
• Number of ECTS: 4
• Course code: BENG-153
• Module(s): Ergänzung Mobilitätssemester
• Language: EN
• Mandatory: No