19E052DMS - Dynamics of Mechanical Systems

Course specification
Course title Dynamics of Mechanical Systems
Acronym 19E052DMS
Study programme Electrical Engineering and Computing
Module Signals and Systems
Type of study bachelor academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
    ESPB 6.0 Status elective
    The goal Introduces students to more advanced concepts of dynamics (Lagrange and Hamilton mechanics). Provides fundamentals for understanding and modeling of mechatronics systems.
    The outcome Makes students capable of understanding and describing complex dynamical systems with many degrees of freedom. Gives a solid background for modeling of mechanical/dynamical systems for simulation and control purposes.
    URL to the subject page
    Contents of lectures Rotation of a rigid body about fixed and non-fixed axis. Inertia tensor and principal axes. Euler's equations. Calculus of variations. Lagrange's equations for conservative, nonconservative and systems with constraints. Noether's theorem, conservations laws. Hamilton's equations. Liouvulle's theorem. Coupled oscillators and normal modes. Nonlinear and chaotic systems. Bifurcations. Logistic map.
    Contents of exercises Selected problems corresponding to theoretical lectures. Homework projects with practical dynamics problems.
    1. L. D. Landau, E. M. Lifšic, Mechanics, Građevinska knjiga, Belgrade, 1961
    2. J. R. Taylor, Classical Mechanics, University Science Books, 2005 (Original title)
    Number of hours per week during the semester/trimester/year
    Lectures Exercises OTC Study and Research Other classes
    3 2
    Methods of teaching Lectures, exercises, homework assignments, consultations.
    Knowledge score (maximum points 100)
    Pre obligations Points Final exam Points
    Activites during lectures 0 Test paper 60
    Practical lessons 0 Oral examination 0
    Projects 0
    Colloquia 30
    Seminars 10