# Search result: Catalogue data in Autumn Semester 2022

Mechanical Engineering Bachelor
Bachelor Studies (Programme Regulations 2010)
3. Semester: Compulsory Courses
Examination Block 1
NumberTitleTypeECTSHoursLecturers
401-0363-10LAnalysis III O3 credits2V + 1UA. Iozzi
AbstractIntroduction 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.
ObjectiveMathematical treatment of problems in science and engineering. To understand the properties of the different types of partial differential equations.
ContentLaplace Transforms:
- Laplace Transform, Inverse Laplace Transform, Linearity, s-Shifting
- Transforms of Derivatives and Integrals, ODEs
- Unit Step Function, t-Shifting
- 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, Half-Range 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, Fourier-Bessel Series
- Solution of PDEs by Laplace Transform
Lecture notesLecture notes by Prof. Dr. Alessandra Iozzi:
https://polybox.ethz.ch/index.php/s/D3K0TayQXvfpCAA
LiteratureE. Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, 10. Auflage, 2011

C. R. Wylie & L. Barrett, Advanced Engineering Mathematics, McGraw-Hill, 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: Ingenieur-Analysis
https://people.math.ethz.ch/~blatter/dlp.html
151-0503-00LDynamicsO6 credits4V + 2UD. Kochmann
AbstractDynamics 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
ObjectiveThis 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 application-oriented examples presented in the lectures and weekly exercise sessions help students aquire a proficient background in engineering dynamics, learn and embrace problem-solving techniques for dynamical engineering problems, gain cross-disciplinary expertise (by linking concepts from, among others, mechanics, mathematics, and physics), and prepare students for advanced courses and work on engineering applications.
Content1. Motion of a single particle: kinematics (trajectory, velocity, acceleration), forces and torques, constraints, active and reaction forces, balance of linear and angular momentum, work-energy balance, conservative systems, equations of motion.
2. Motion of systems of particles: internal and external forces, balance of linear and angular momentum, work-energy 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, work-energy balance, angular momentum transport, inertial vs. moving reference frames, apparent forces, Euler equations.
4. Vibrations: Lagrange equations, concepts of stability, single-DOF oscillations (natural frequency, free-, damped-, and forced response), multi-DOF 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 notesLecture notes (a scriptum) will be available on Moodle. Students are strongly encouraged to take their own notes during class.
LiteratureA complete set of lecture notes (a scriptum) is available on Moodle. Further reading materials are suggested but not required for this class.
Prerequisites / NoticeAll course materials (including lecture notes, exercise problems, etc.) are available on Moodle.
Fostered competencies
 Subject-specific Competencies Concepts and Theories assessed Techniques and Technologies assessed Method-specific Competencies Analytical Competencies assessed Decision-making assessed Media and Digital Technologies not assessed Problem-solving assessed Project Management not assessed Social Competencies Communication not assessed Cooperation and Teamwork not assessed Customer Orientation not assessed Leadership and Responsibility not assessed Self-presentation and Social Influence not assessed Sensitivity to Diversity not assessed Negotiation not assessed Personal Competencies Adaptability and Flexibility not assessed Creative Thinking not assessed Critical Thinking assessed Integrity and Work Ethics not assessed Self-awareness and Self-reflection not assessed Self-direction and Self-management not assessed
151-0303-00LDimensioning IO3 credits3GD. Mohr, B. Berisha, E. Mazza
AbstractIntroduction 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.
ObjectiveThe 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 notesWill be announced during the first lecture.
LiteratureWill be announced during the first lecture.
151-0051-00LThermodynamics IO4 credits2V + 2UA. Bardow, C. Müller
AbstractIntroduction to the fundamentals of technical thermodynamics.
ObjectiveIntroduction to the fundamentals of technical thermodynamics.
Content1. 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 notesavailable
LiteratureM.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. https://link.springer.com/book/10.1007%2F978-3-642-30098-1

H. Herwig, C. Kautz and A. Moschallski, Technische Thermodynamik, 2nd edition, Springer Vieweg, 2016. https://link.springer.com/book/10.1007%2F978-3-658-11888-4
151-0591-00LControl Systems I
Note: The previous course title in German until HS21 "Regelungstechnik I".
O4 credits2V + 2UE. Frazzoli
AbstractAnalysis 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.
ObjectiveIdentify the role and importance of control systems in everyday life. Obtain models of single-input single-output (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.
ContentModeling and linearization of dynamic systems with single input and output signals. State-space description. Analysis (stability, reachability, observability, etc.) of open-loop 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 closed-loop systems using the Nyquist criterion. Formulation of performance constraints. Specification of closed-loop system behavior. Synthesis of elementary closed-loop control systems (PID, lead/lag compensation, loop shaping). Discrete time state space representation and stability analysis.
Lecture notesLecture slides and additional material will be posted online.
LiteratureThere 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

Prerequisites / NoticeBasic knowledge of (complex) analysis and linear algebra.
Fostered competencies
 Subject-specific Competencies Concepts and Theories assessed Techniques and Technologies not assessed Method-specific Competencies Analytical Competencies assessed Decision-making not assessed Media and Digital Technologies not assessed Problem-solving not assessed Project Management not assessed Social Competencies Communication not assessed Cooperation and Teamwork not assessed Customer Orientation not assessed Leadership and Responsibility not assessed Self-presentation and Social Influence not assessed Sensitivity to Diversity not assessed Negotiation not assessed Personal Competencies Adaptability and Flexibility not assessed Creative Thinking not assessed Critical Thinking not assessed Integrity and Work Ethics not assessed Self-awareness and Self-reflection not assessed Self-direction and Self-management not assessed
Examination Block 2
NumberTitleTypeECTSHoursLecturers
402-0033-10LPhysics I
Der Kurs wird zum letzten Mal im HS22 angeboten.
O6 credits4V + 2UL. Degiorgi
AbstractThis is a one-semester course introducing students into the foundations of Modern Physics. Topics include electricity and magnetism, light, oscillations and waves with Doppler effect. Selected topics with important applications in industry will also be considered.
ObjectiveThe lecture is intended to promote critical, scientific thinking. Key concepts of Physics will be acquired, with a focus on technically relevant applications. At the end of the semester, students will have a good overview over the topics of classical and modern Physics.
ContentElectric and magnetic fields, current, magnetism, Maxwell's equations, oscillations, waves.
Lecture notesNotes from lectures will be available (in German).
LiteratureHans J. Paus, Physik in Experimenten und Beispielen, Carl Hanser Verlag München Wien (textbook for the lecture), ca. 50 Euro.

alternative E-Book:
P.A. Tipler and G. Mosca, Physics for scientists and engineers, W.H. Freeman and Company, New York
Fostered competencies
 Subject-specific Competencies Concepts and Theories assessed Techniques and Technologies not assessed Method-specific Competencies Analytical Competencies assessed Decision-making not assessed Problem-solving assessed Social Competencies Communication assessed Cooperation and Teamwork assessed Self-presentation and Social Influence not assessed Sensitivity to Diversity assessed Personal Competencies Adaptability and Flexibility assessed Creative Thinking assessed Critical Thinking assessed Integrity and Work Ethics assessed Self-awareness and Self-reflection assessed Self-direction and Self-management assessed
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