Aug 15, 2020   4:15 a.m. Marcela
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Course syllabus 210507_IDP - Analytical Mechanics (FME - SS 2019/2020)

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Slovak University of Technology in Bratislava
Course unit code: 210507_IDP
Course unit title:
Analytical Mechanics
Mode of delivery, planned learning activities and teaching methods:
2 hours weekly (on-site method)
40 hours per semester of study (combined method)
2 hours weekly (on-site method)

Credits allocated:
Recommended semester/trimester: Applied Mechanics and Mechatronics - master (semi-compulsory), 2. semester
Level of study:
Prerequisites for registration:
Assesment methods:
The sum of points for the tests is 35. Students will succesfully pass the tests if they earn at least 35 points. Students will get credits for the course if they succesfully pass both, the written tests and the oral exam. Students are graded as follows:
A 100 - 91 points, B 90 - 81 points, C 80 - 71 points, D 70 -61 points, E 50 - 60 points
Learning outcomes of the course unit:
The student obtains an analytical description of mechanical systems. Understand the equation of motion for the compilation of general class of mechanical systems. Gives an overview of the variational principles, their characteristics and their use in preparing mathematical models of mechanical systems. In the second part of the subject to gain practical experience in the investigation of geometric stability of autonomous systems and Lyapunov stability for conservative gyroscopic, circulatory and asymmetric systems.
Course contents:
• stationary value functions and definite integrals
• Hamilton's principle, impulse, conservation laws
• Rayleigh dissipation function, Hamilton's equations, Gauss' principle
• Jourdain and Hertz principle Holder identity principle Maupertuisov-Euler
• Geometric investigation of the stability of autonomous systems
• Lyapunov stability, conservative systems and systems with damping
• Gyroscopic, circulatory and asymmetric systems
Recommended or required reading:
BRDIČKA, M. -- HLADÍK, A. Teoretická mechanika. Zapadoslovenské tlačiarne Bratislava: ČAV Praha , 1987. 581 p.
MEYROVITCH, L. Analytical Methods in Engineering. New York: Mc.Graw-Hill, 1978.
MOORE, N. Theoretical mechanics. New York: John Wiley&Sons,Inc., 1983. 456 p. ISBN 0-471-87488-4.
KOŠINÁROVÁ, A. -- OBETKOVÁ, V. -- MAMRILOVÁ, A. Teoretická mechanika. Bratislava: Zapadoslovenské tlačiarne, 1990. 577 p. ISBN 80-05-00597-0.

Language of instruction: slovak or english
Courses evaluation:
Assessed students in total: 230

20,4 %
18,3 %
30,4 %
15,2 %
15,7 %
0 %
Name of lecturer(s):
prof. Ing. Miloš Musil, CSc. (examiner, instructor, lecturer)
prof. Ing. Peter Šolek, CSc. (examiner, instructor, lecturer, person responsible for course) - slovak, english
Last modification:
13. 6. 2019
prof. Ing. Peter Šolek, CSc. and programme supervisor

Last modification made by Ing. Marianna Frajková on 06/13/2019.

Type of output: