# Course syllabus 210618_IDP - Random Oscillation (FME - WS 2019/2020)Help

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Mechanical Engineering
Course unit code: 210618_IDP
Course unit title: Random Oscillation
Mode of delivery, planned learning activities and teaching methods:
 lecture 2 hours weekly (on-site method) 30 hours per semester of study (combined method) seminar 1 hour weekly (on-site method)

Credits allocated: 6

Recommended semester/trimester: Applied Mechanics and Mechatronics - master (semi-compulsory), 3. semester
Level of study: 2.
Prerequisites for registration: none

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:
Student will obtain basic theoretical knowledge of probabilitz and stochastic processes. He will be able to apply this theoretical knowledge to solve problems of random vibration of linear and nonlinear mechanical szsmtes with one or more degrees of freedom.

Course contents:
-Introduction to the theory of probability
-Statistical characteristics of random processes, autocorrelation and cross correlation function, power spectral density, Markov Processes
-Signal processing
-Problem of solving methods of statistical dynamics
-Random vibration of linear mechanical systems with one degree of freedom
-Random vibration of linear mechanical systems with n degrees of freedom
-Random vibration of nonlinear mechanical systems, the method of statistical linearization, Fokker Planks equation

Basic:
 MUSIL, M. Náhodné kmitanie : Návody na cvičenia. Bratislava: STU: Bratislava: STU, 1999. 157 p. ISBN 80-227-1167-5.

Recommended:
 Bendat, J. S., Piersol, A. G.: Engineering aplications of correlation and spectral analysis, Wiley-Interscience, New York 1993 Bendat, J. S., Piersol, A., G.: Random data: Analysis and measurement procedures, 2nd edition, Wiley-Interscience, New York 1986 Kropáč. O.: Stochastic phenomena in mechanical systems, SNTL, Praha 1987 Stradiot, J. a kol.: Machine Dynamics, ALFA, Bratislava 1991 Záhorec, O., Caban, S.: 5.1.7 Applied Mechanics, Edičné stredisko TU, Košice 1991

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 223

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39,0 %17,9 %16,6 %11,2 %14,8 %0,5 %
Name of lecturer(s): Ing. Ferdinand Havelka, PhD. (examiner, instructor, lecturer) - slovak, english
prof. Ing. Miloš Musil, CSc. (examiner, instructor, lecturer)
prof. Ing. Peter Šolek, CSc. (lecturer, person responsible for course) - slovak, english

Last modification: 19. 6. 2019
Supervisor: prof. Ing. Peter Šolek, CSc. and programme supervisor

Last modification made by Ing. Marianna Frajková on 06/19/2019.

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