Introducing the use of Matlab / Simulink. Short repetition of linear differential equations and Laplace transformation. The physical laws. The deduction of some simple mathematical models and mathematical solution of these models for mechanical vibrations, electrical fluctuations and distribution of heat from a heat source. Solution of optimization problems using linear, quadratic and mixed-integer programming.
Mechanical systems who are modeled by systems of linear (and non-linear) differential equations. Stability analysis of stationary and periodic solutions.
Special mechatronical problem´s who are modelled by the heat equation (1 and 2 dimensions, 1D and 2D), the wave equation (1D and 2D) and the Laplace equation (2D). Some simple models solved by separation of the independent variable. Solutions using the differences.
Written exam, 4 hours (70 %). Portifolio consisting of 1 project work (30 %). Graded assessment.
Programme coordinator Kjell G. Robbersmyr.
Faculty of Engineering and Science