# Search result: Catalogue data in Autumn Semester 2019

Mechanical Engineering Bachelor | ||||||

3. Semester | ||||||

Compulsory Courses | ||||||

Examination Block 1 | ||||||

Number | Title | Type | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|---|

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. | |||||

Content | Laplace 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 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, 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 Link | |||||

151-0503-00L | Dynamics | O | 6 credits | 4V + 2U | D. Kochmann, P. Tiso | |

Abstract | Dynamics of particles and rigid bodies: 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 and civil engineering with fundamental knowledge of kinematics and dynamics of mechanical systems. By studying the motion of a single particle, of systems of particles and of 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), forces and torques, 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. 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's equations. 4. Vibrations: Lagrange equations, single-DOF oscillations (natural frequency, free-, damped-, and forced response), multi-DOF oscillations (natural frequencies, eigenmodes, free-, damped-, and forced response), examples of vibrations in deformable bodies. | |||||

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 ( Link ), 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 | E. Mazza, R. Hopf | |

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. | |||||

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. | |||||

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. | |||||

151-0591-00L | Control Systems I | O | 4 credits | 2V + 2U | L. Guzzella | |

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 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. | |||||

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). Discrete time state space representation and stability analysis. | |||||

Lecture notes | Analysis and Synthesis of Single-Input Single-Output Control Systems, Lino Guzzella, vdf Hochschulverlag. The textbook is offered for sale at the beginning of the semester. In addition, the slides of the lecture will be put online. | |||||

Literature | Analysis and Synthesis of Single-Input Single-Output Control Systems, Lino Guzzella, vdf Hochschulverlag. The textbook is offered for sale at the beginning of the semester. | |||||

Prerequisites / Notice | Basic knowledge of (complex) analysis and linear algebra. |

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