Search result: Catalogue data in Autumn Semester 2017
|Mechanical Engineering Bachelor|
|Examination Block 1|
|401-0363-10L||Analysis III||O||3 credits||2V + 1U||F. Da Lio|
|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.|
The first lecture is on Thursday, September 28 13-15 in HG F 7 and video transmitted into HG F 5.
The coordinator is Simon Brun
- 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 notes||Lecture notes by Prof. Dr. Alessandra Iozzi:|
|Literature||E. 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
|151-0503-00L||Dynamics||O||6 credits||4V + 2U||G. Haller, P. Tiso|
|Abstract||Kinematics, dynamics and oscillations: Motion of a single particle - Motion of systems of particles - 2D and 3D motion of rigid bodies Vibrations|
|Objective||This course provides Bachelor students of mechanical engineering with fundamental knowledge of kinematics and dynamics of mechanical systems. By studying motion of a single particle, systems of particles and rigid bodies, we introduce essential concepts such as work and energy, equations of motion, and forces and torques. Further topics include stability of equilibria and vibrations. Examples presented in the lectures and weekly exercise lessons help students learn basic techniques that are necessary for advanced courses and work on engineering applications.|
|Content||1. Motion of a single particle || Kinematics: trajectory, velocity, acceleration, inertial frame, moving frames - Forces and torques. Active- and reaction forces. - Linear momentum principle, angular momentum principle, work-energy principle - Equations of motion; |
2. Motion of systems of particles || Internal and external forces - Linear momentum principle, angular momentum principle, work-energy principle - Rigid body systems of particles; conservative systems
3. 3D motion of rigid bodies || Kinematics: angular velocity, velocity transport formula, instantaneous center of rotation - Linear momentum principle, angular momentum principle, work-energy principle - Parallel axis theorem. Angular momentum transport formula
4. Vibrations || 1-DOF oscillations: natural frequencies, free-, damped-, and forced response - Multi-DOF oscillations: natural frequencies, normal modes, free-, damped-, and forced response - Estimating natural frequencies and mode shapes - Examples
|Lecture notes||Typed course material will be available. Students are responsible for preparing their own notes in class.|
|Literature||Typed course material will be available|
|Prerequisites / Notice||Please log in to moodle ( https://moodle-app2.let.ethz.ch/auth/shibboleth/login.php ), search for "Dynamics", and join the course there. All exercises sheets and the typed lecture material will be uploaded there.|
|151-0303-00L||Dimensioning I||O||3 credits||3G||P. Hora, K. Wegener|
|Abstract||Introduction to dimensioning (strength calculation) for static and dynamic loaded components and machine parts. Critical strength and fracture criteria. Analytical methods for the calculation of stresses and strains. Consideration of stress concentrations by notch effects. Strength proof for different machine elements.|
|Objective||The lecture uses basic strength theory from Mechanics II to size and design typical machine elements as beam structures, axes and shafts, pressure vessels, weldings and screws. The students learn to define both geometry and material of frequently used machine elements. Strength calculations are performed both for static and fatigue operating conditions.|
|Content||- Theoretical basics of engineering design|
- Description of ductil and brittle material behavior
- Design of machine elements at static loading conditions
- Notch effects
- Axes and shafts
- Fatigue design
- Surface pressure
- Rotationally symmetric bodies, pressure vessels and cylindrical interference
- Dimensioning of permanent and separable joints
|Lecture notes||The lecture bases on the books specified under "LITERATUR". The books 1) to 5) can be downloaded as pdf's.|
Additional documentation and handouts are available as PDFs on our website.
|Literature||1) K.-H. Decker und K. Kabus, Maschinenelemente, München: Carl Hanser Verlag, 2014. |
2) H. Wittel, D. Muhs, D. Jannasch und J. Vossiek, Roloff/Matek Maschinenelemente, Berlin: Springer, 2013.
3) B. Schlecht, Maschinenelemente 1: Festigkeit, Wellen, Verbindungen, Federn, Kupplungen, München: Pearson Studium, 2007.
4) M. Meier und P. Ermanni, Dimensionieren 1, Zürich, 2012.
5) H. Haberhauer, F.Bodenstein: Maschinenelemente,Berlin: Springer 2008
6) H.H.Ott: Maschinenkonstruktion, Band II und III, AMIV, 1983
7)«FKM-Richtlinie: Rechnerischer Festigkeitsnachweis für Maschinenbauteile; 4. Auflage,» VDMA, Frankfurt am Main, 2002.
|151-0051-00L||Thermodynamics I||O||4 credits||2V + 2U||D. Poulikakos, 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.
|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.
|151-0591-00L||Control Systems I||O||4 credits||2V + 2U||E. Frazzoli|
|Abstract||Analysis and synthesis of linear 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. Model and linearize single-input single-output dynamical systems. 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, Time domain). Design standard feedback controllers to stabilize and steer linearized systems. Explain differences between expected and actual control results.|
|Content||Modeling 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).|
|Prerequisites / Notice||Basic knowledge of (complex) analysis and linear algebra|
|Examination Block 2|
|402-0033-10L||Physics I||O||6 credits||4V + 2U||C. Degen|
|Abstract||This is a two-semester course introducing students into the foundations of Modern Physics. Topics include electricity and magnetism, light, waves, quantum physics, solid state physics, and semiconductors. Selected topics with important applications in industry will also be considered.|
|Objective||The 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 two semesters, students will have a good overview over the topics of classical and modern Physics.|
|Content||Electric and magnetic fields, current, magnetism, Maxwell's equations, concept of light, classical optics, waves.|
|Lecture notes||Notes from lectures will be available (in German).|
Physik fuer Ingenieure und Naturwissenschaftler
Band 2: Elektrizitaet, Optik, Wellen, 2012, 436 Seiten, ca. 25 Euro.
Paul A. Tipler, Gene Mosca, Michael Basler und Renate Dohmen
Physik für Wissenschaftler und Ingenieure
Spektrum Akademischer Verlag, 2009, 1636 Seiten, ca. 80 Euro.
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