Search result: Catalogue data in Autumn Semester 2016
|Mechanical Engineering Bachelor|
|Examination Block 1|
|401-0363-10L||Analysis III||O||3 credits||2V + 1U||M. Soner|
|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 29 13-15 in HG F 7 and video transmitted into HG F 5.
The exercises Sheet are here: Link
The coordinator is Claudio Sibilia (see https://www.math.ethz.ch/the-department/people.html?u=sibiliac)
The first exercise session is on Thursday, September 22 or resp. Friday, September 23. If you would like feedback on your work, please give it to your course assistent or leave it in the box of your course assistant in HG F 27. The due Date is one week later the assignment.
Office hour (Praesenz): Thursday 16-17, NO E 39.
- 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
Download the syllabus: https://polybox.ethz.ch/index.php/s/bu5KY8vWNMOnaAa
|Lecture notes||Alessandra Iozzi's Lecture notes: https://polybox.ethz.ch/index.php/s/RcsFm70tWCheSqH|
|Literature||E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, 9. Auflage, 2011|
C. R. Wylie & L. Barrett, Advanced Engineering Mathematics, McGraw-Hill, 6th ed.
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 (Download PDF)
|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||Hand-written slides will be downloadable after each lecture.|
|Literature||Typed course notes from the previous year|
|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, lecture materials etc. 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|
|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||Introduction to main ideas of linear systems analysis and synthesis. Transient and steady-state behavior, system engineering (input/output, static/dynamic behavior, feedforward and feedback loops, etc.), introduction of most important tools (solution of linear ODE, Laplace transformation, Nyquisttheorem, etc.). Elementary controller synthesis methods.|
|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).|
|Lecture notes||Lino Guzzella: Analysis and Synthesis of Single-Input Single-Output Control Systems, 3rd Edition, 2011, vdf Hochschulverlag AG|
|Prerequisites / Notice||Basic knowledge of (complex) analysis and linear algebra|
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