19E052DMS - Dynamics of Mechanical Systems
Course specification | ||||
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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 | |
Condition | ||||
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. | |||
Contents | ||||
URL to the subject page | http://automatika.etf.bg.edu.rs/sr/13e052meh | |||
URL to lectures | https://teams.microsoft.com/l/team/19%3A-X0lQjFjCSDPsaPF2xKXk_hYat-DbLsk_1w6b9UsK5g1%40thread.tacv2/conversations?groupId=1e6bcb6a-3c45-46ae-a3ce-2f031130e25e&tenantId=1774ef2e-9c62-478a-8d3a-fd2a495547ba | |||
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. | |||
Literature | ||||
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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 |