On successful completion of the course, the student should be able to
formulate, and in some cases derive, mathematical models in Mechatronics, based on the physical laws of mechanics, heat and electricity learn
solve the mathematical models in terms of ordinary or partial differential equations using analytical and numerical methods
apply theory and computer tools for analyzing stability of nonlinear systems
Introducing the use of MAPLE software; Differential equations (directions fields, first order, second order and higher order ordinary differential equations); Laplace transform and connection to frequency response and ordinary differential equations; Linear systems (state-space representation, transfer functions, stability analysis, matrix operations, singular values, eigenvalues and eigenvectors); Modelling of linear and non-linear Mechatronics systems; Nonlinear systems (conservative systems, stability concept, stability analysis and Lyapunov theory); Partial differential equation (the heat equation and the wave equation). Some simple partial differential models solved by separation of independent variables.
Undervisnings- og læringsformer
Lectures, tutorials, course project. Estimated work load for the average student is approximately 200 hours.
Portfolio (30%) and written exam, 4 hours (70%). Graded assessment.
Course evaluation is carried out as a midterm evaluation in accordance with standard procedure in the quality assurance system, chapter 2.1.1., unless other information is given in the beginning of the semester.