Intendierte Lernergebnisse
This lecture is organized around the following key points aiming at providing students with some important and useful basic knowledge in computational engineering. A particular attention is devoted to solving linear and nonlinear mathematical models (e.g. linear and/or nonlinear algebraic equations, linear and/or nonlinear ordinary differential equation, and linear partial differential equations) with MATLAB/SIMULINK. Further some concrete application examples of practical interest are considered in the fields of Transportation engineering, mechatronics, Control systems engineering, and Signal processing (e.g. simulation of microscopic traffic flow (using ODE models), simulation of macroscopic traffic flow (using PDE models), simulation of filters (using transfer functions), Extraction of a Signal embedded in noise (using correlation and auto-correlation principles).Overall the learning outcomes are summarized by the following nine points:Familiarizing students with some theoretical and useful basic knowledge in computational engineeringProviding an overview of MATLAB and SIMULINKFamiliarizing students with some important MATLAB commands for computational engineeringUse of SYMBOLIC CALCULATION TOOLBOX in MATLAB to solve equations analytically (e.g. Linear algebraic equations - Nonlinear algebraic equations - Linear ordinary differential equations - Nonlinear ordinary differential equations)Use of MATLAB to solve equations numerically (e.g. - Linear algebraic equations - Nonlinear algebraic equations - Linear ordinary differential equations - Nonlinear ordinary differential equations)Use of SIMULINK to solve equations numerically (e.g. - Linear ordinary differential equations - Nonlinear ordinary differential equations)Use of MATLAB to solve linear partial differential equations numericallyUse of SIMULINK to solve linear partial differential equations numericallyThe Runge-Kutta method for solving nonlinear ODEs and nonlinear PDEsApplications: 1. Traffic flow analysis: Simulation of models in transportation using MATLAB/SIMULINK (e.g. microscopic traffic flow modeled by ordinary differential equations, macroscopic traffic flow modeled by partial differential equations, etc.)2. Oscillatory systems in engineering: Simulation of control systems, mechanical and electromechanical systems modeled by coupled nonlinear ordinary differential equations (e.g. Pendulum systems, Electrodynamics loudspeakers, dynamics of an airplane, electrical circuits, analog circuits, analog computing, etc.)3. Synthesis of filters: Derivation of the transfer functions of filters and simulation using MATLAB/SIMULINK (e.g. Low-pass, high-pass, band-pass, and band-rejection/stop filters)4. Signal processing: Extraction of signals embedded in noise.
Lehrmethodik
1. The slides are available for the entire lecture. These slides are uploaded into the MOODLE system. The entire content of each slide is systematically explained by the lecturer.Very important note: The lecturer clearly explains concepts/information in all chapters. The lecturer will be verifying for each concept that at least 75% of students have understood the concept explained. Otherwise, the lecturer will be keeping on explaining the same concept until it is understood by at least 75% of the students.2. Additional examples that are not included in the slides are suggested by the lecturer to allow a good understanding of the information provided.3. The slides contain exercises with solutions to allow a good understanding of the contents of each chapter. These solutions are systematically explained (during the lecture) by the lecturer.The slides contain exercises with solutions to be solved by students during the lecture (this is part of the oral exam). Students are fully supported/assisted by the lecturer to get correct / accurate solutions to the suggested exercises. This helps to verify whether students have understood the chapters or not.
Inhalt/e
Chapter 1. Introduction to MATLABChapter 2. Solving ordinary differential equations (ODEs) using MATLABChapter 3. Basics of SIMULINK and solutions of ordinary differential equationsChapter 4. Analytical solutions of algebraic equations, and differential equations using MATLABChapter 5. Modeling and simulation of passive filters: Mathematical modeling of passive filters using ODEs and derivation of the corresponding transfer functionsChapter 6. Oscillatory systems in engineering: Simulation of complex system- models using MATLAB/SIMULINKChapter 7. Traffic flow analysis: Simulation of coupled ODEs and PDEs used for traffic flow modeling in transportation engineering.Chapter 8. Signal processing: MATLAB codes for the extraction of signals embedded in noise.
Literatur
Brian R. Hunt, Ronald L. Lipsman, Jonathan M. Rosenberg, Kevin R. Coombes, John E. Osborn, Garrett J. Stuck, „A Guide to MATLAB: For Beginners and Experienced Users“, Cambridge University Press, 2001.Pietruszka, and Wolf Diete, „MATLAB und Simulink in der Ingenieurpraxis“, Springer, ISBN 978-3-8351-9074-0, 2006.Misza Kalechman, „Practical MATLAB Basics for Engineers (Practical Matlab for Engineers)“, CRC-Press Taylor & Francis, ISBN-13: 978-1420047745, 2008.