Search result: Catalogue data in Autumn Semester 2022
Mechanical Engineering Bachelor  
Bachelor Studies (Programme Regulations 2010)  
3. Semester: Compulsory Courses  
Examination Block 1  
Number  Title  Type  ECTS  Hours  Lecturers  

401036310L  Analysis III  O  3 credits  2V + 1U  A. Iozzi  
Abstract  Introduction to partial differential equations. Differential equations which are important in applications are classified and solved. Elliptic, parabolic and hyperbolic differential equations are treated. The following mathematical tools are introduced: Laplace transforms, Fourier series, separation of variables, methods of characteristics.  
Objective  Mathematical treatment of problems in science and engineering. To understand the properties of the different types of partial differential equations.  
Content  Laplace Transforms:  Laplace Transform, Inverse Laplace Transform, Linearity, sShifting  Transforms of Derivatives and Integrals, ODEs  Unit Step Function, tShifting  Short Impulses, Dirac's Delta Function, Partial Fractions  Convolution, Integral Equations  Differentiation and Integration of Transforms Fourier Series, Integrals and Transforms:  Fourier Series  Functions of Any Period p=2L  Even and Odd Functions, HalfRange Expansions  Forced Oscillations  Approximation by Trigonometric Polynomials  Fourier Integral  Fourier Cosine and Sine Transform Partial Differential Equations:  Basic Concepts  Modeling: Vibrating String, Wave Equation  Solution by separation of variables; use of Fourier series  D'Alembert Solution of Wave Equation, Characteristics  Heat Equation: Solution by Fourier Series  Heat Equation: Solutions by Fourier Integrals and Transforms  Modeling Membrane: Two Dimensional Wave Equation  Laplacian in Polar Coordinates: Circular Membrane, FourierBessel Series  Solution of PDEs by Laplace Transform  
Lecture notes  Lecture notes by Prof. Dr. Alessandra Iozzi: Link  
Literature  E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, 10. Auflage, 2011 C. R. Wylie & L. Barrett, Advanced Engineering Mathematics, McGrawHill, 6th ed. S.J. Farlow, Partial Differential Equations for Scientists and Engineers, Dover Books on Mathematics, NY. G. Felder, Partielle Differenzialgleichungen für Ingenieurinnen und Ingenieure, hypertextuelle Notizen zur Vorlesung Analysis III im WS 2002/2003. Y. Pinchover, J. Rubinstein, An Introduction to Partial Differential Equations, Cambridge University Press, 2005 For reference/complement of the Analysis I/II courses: Christian Blatter: IngenieurAnalysis Link  
151050300L  Dynamics  O  6 credits  4V + 2U  D. Kochmann  
Abstract  Dynamics of particles, rigid bodies and deformable bodies: Motion of a single particle, motion of systems of particles, 2D and 3D motion of rigid bodies, vibrations, waves  
Objective  This course provides Bachelor students of mechanical and civil engineering with fundamental knowledge of the kinematics and dynamics of mechanical systems. By studying the motion of a single particle, systems of particles, of rigid bodies and of deformable bodies, we introduce essential concepts such as kinematics, kinetics, work and energy, equations of motion, and forces and torques. Further topics include the stability of equilibria and vibrations as well as an introduction to the dynamics of deformable bodies and waves in elastic rods. Throughout the course, the basic principles and applicationoriented examples presented in the lectures and weekly exercise sessions help students aquire a proficient background in engineering dynamics, learn and embrace problemsolving techniques for dynamical engineering problems, gain crossdisciplinary expertise (by linking concepts from, among others, mechanics, mathematics, and physics), and prepare students for advanced courses and work on engineering applications.  
Content  1. Motion of a single particle: kinematics (trajectory, velocity, acceleration), forces and torques, constraints, active and reaction forces, balance of linear and angular momentum, workenergy balance, conservative systems, equations of motion. 2. Motion of systems of particles: internal and external forces, balance of linear and angular momentum, workenergy balance, rigid systems of particles, particle collisions, mass accretion/loss. 3. Motion of rigid bodies in 2D and 3D: kinematics (angular velocity, velocity and acceleration transfer, instantaneous center and axis of rotation), balance of linear and angular momentum, workenergy balance, angular momentum transport, inertial vs. moving reference frames, apparent forces, Euler equations. 4. Vibrations: Lagrange equations, concepts of stability, singleDOF oscillations (natural frequency, free, damped, and forced response), multiDOF oscillations (natural frequencies, eigenmodes, free, damped, and forced response). 5. Introduction to waves and vibrations in deformable elastic bodies: local form of linear momentum balance, waves and vibrations in slender elastic rods.  
Lecture notes  Lecture notes (a scriptum) will be available on Moodle. Students are strongly encouraged to take their own notes during class.  
Literature  A complete set of lecture notes (a scriptum) is available on Moodle. Further reading materials are suggested but not required for this class.  
Prerequisites / Notice  All course materials (including lecture notes, exercise problems, etc.) are available on Moodle.  
Competencies 
 
151030300L  Dimensioning I  O  3 credits  3G  D. Mohr, B. Berisha, E. Mazza  
Abstract  Introduction to Dimensioning of components and machine parts. Basic structural theories are introduced and a short introduction to finite elements is given. Further, elements from fracture mechanics, plasticity and stability of structures are presented.  
Objective  The goal of the lecture is to build on and extend the theories from Mechanics 2. Students learn how to implement adequate models for practical dimensioning problems in mechanical engineering and how to solve and critically interpret these models.  
Content   Basic problem of continuum mechanics  Structural theories  Introduction to finite element methods  Strength of materials  Fatigue  Stability of structures  
Lecture notes  Will be announced during the first lecture.  
Literature  Will be announced during the first lecture.  
151005100L  Thermodynamics I  O  4 credits  2V + 2U  A. Bardow, C. Müller  
Abstract  Introduction to the fundamentals of technical thermodynamics.  
Objective  Introduction to the fundamentals of technical thermodynamics.  
Content  1. Konzepte und Definitionen 2. Der erste Hauptsatz, der Begriff der Energie und Anwendungen für geschlossene Systeme 3. Eigenschaften reiner kompressibler Substanzen, quasistatische Zustandsänderungen 4. Elemente der kinetischen Gastheorie 5. Der erste Hauptsatz in offenen Systemen  Energieanalyse in einem Kontrollvolumen 6. Der zweite Hauptsatz  Der Begriff der Entropie 7. Nutzbarkeit der Energie  Exergie 8. Thermodynamische Beziehungen für einfache, kompressible Substanzen.  
Lecture notes  available  
Literature  M.J. Moran, H.N Shapiro, D.D. Boettner and M.B. Bailey, Principles of Engineering Thermodynamics, 8th Edition, John Wiley and Sons, 2015. H.D. Baehr and S. Kabelac, Thermodynamik, 15. Auflage, Springer Verlag, 2012. P. Stephan, K. Schaber, K. Stephan and F. Mayinger, Thermodynamik – Grundlagen und technische Anwendungen, 19th edition, Springer Verlag, 2013. Link H. Herwig, C. Kautz and A. Moschallski, Technische Thermodynamik, 2nd edition, Springer Vieweg, 2016. Link  
151059100L  Control Systems I Note: The previous course title in German until HS21 "Regelungstechnik I".  O  4 credits  2V + 2U  E. Frazzoli  
Abstract  Analysis and controller synthesis for linear time invariant systems with one input and one output signal (SISO); transition matrix; stability; controllability; observability; Laplace transform; transfer functions; transient and steady state responses. PID control; dynamic compensators; Nyquist theorem.  
Objective  Identify the role and importance of control systems in everyday life. Obtain models of singleinput singleoutput (SISO) linear time invariant (LTI) dynamical systems. Linearization of nonlinear models. Interpret stability, observability and controllability of linear systems. Describe and associate building blocks of linear systems in time and frequency domain with equations and graphical representations (Bode plot, Nyquist plot, root locus). Design feedback controllers to meet stability and performance requirements for SISO LTI systems. Explain differences between expected and actual control results. Notions of robustness and other nuisances such as discrete time implementation.  
Content  Modeling and linearization of dynamic systems with single input and output signals. Statespace description. Analysis (stability, reachability, observability, etc.) of openloop systems. Laplace transformation, systems analysis in the frequency domain. Transfer functions and analysis of the influence of its poles and zeros on the system's dynamic behavior. Frequency response. Analysis of closedloop systems using the Nyquist criterion. Formulation of performance constraints. Specification of closedloop system behavior. Synthesis of elementary closedloop control systems (PID, lead/lag compensation, loop shaping). Discrete time state space representation and stability analysis.  
Lecture notes  Lecture slides and additional material will be posted online.  
Literature  There is no required textbook. A nice introductory book on feedback control, available online for free, is : Feedback Systems: An Introduction for Scientists and Engineers Karl J. Astrom and Richard M. Murray The book can be downloaded at Link  
Prerequisites / Notice  Basic knowledge of (complex) analysis and linear algebra.  
Competencies 

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