Course Unit Code | 330-0304/03 |
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Number of ECTS Credits Allocated | 5 ECTS credits |
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Type of Course Unit * | Choice-compulsory |
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Level of Course Unit * | First Cycle |
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Year of Study * | |
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Semester when the Course Unit is delivered | Winter Semester |
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Mode of Delivery | Face-to-face |
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Language of Instruction | English |
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Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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Name of Lecturer(s) | Personal ID | Name |
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| POD10 | doc. Ing. Jiří Podešva, Ph.D. |
Summary |
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Extending knowledge about vibration of one degree-of-freedom linear systems,
vibrations excited by rotating mass, transfer of force to subsurface, forced
vibrations excited by periodic force and by force of general time behaviour.
Longitudinal and torsion vibration of linear multi degree-of-freedom systems,
bending vibration of linear multi degree-of-freedom systems, critical speed of
shafts. Non-linear one degree-of-freedom systems vibration. |
Learning Outcomes of the Course Unit |
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To teach the students the basic theory of linear vibration with one and more degrees of freedom. To teach the basics of non-linear vibration of mechanical systems. To be able to apply the retrieved knowledge to solve the technical problems. |
Course Contents |
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The natural longitudinal vibration, undamped and damped, linear, with 1 degree of freedom (DOF).
The spring assemblies, serial and parallel.
Bending stiffness, bending vibration.
The forced vibration, undamped and damped.
Constant force, harmonically changing force.
The steady state solution. The amplitude and phase diagram.
The vibration due to centrifugal force.
The force transmision into the ground.
Rotational vibration, natural and forced, torsional stiffness.
Exam questions
1. The natural undamped vibration, parameters, equation of motion
2. The natural undamped vibration, time function, parameters
3. The natural damped vibration, parameters, equation of motion
4. The natural damped vibration, time function, parameters
5. The spring assemblies
6. Bending stiffness, bending vibration
7. The forced vibration, parameters, equation of motion
8. The forced vibration, time function, parameters
9. The forced vibration, amplitude characteristic
10. The forced vibration due to centrifugal force
11. Rotational vibration, natural
12. Rotational vibration, forced
13. Torsional stiffness |
Recommended or Required Reading |
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Required Reading: |
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[1] GÉRADIN, M. a RIXEN, D.. Mechanical vibrations: theory and applications to structural dynamics. Chichester: Wiley, 1994. ISBN 0-471-93927-7.
[2] https://www.fs.vsb.cz/330/en/technical-vibration/ |
[1] BROUSIL, J., SLAVÍK, J., ZEMAN, V. Dynamika. Praha: SNTL/ALFA,1989. 328 s.
[2] ONDROUCH, J a PODEŠVA, J. Technické kmitání, Ostrava: VŠB - Technická univerzita Ostrava, 2012. Dostupný z https://www.fs.vsb.cz/export/sites/fs/330/.content/files/Podesva_kmitani.pdf
[3] GÉRADIN, M. a RIXEN, D.. Mechanical vibrations: theory and applications to structural dynamics. Chichester: Wiley, 1994. ISBN 0-471-93927-7. |
Recommended Reading: |
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https://www.fs.vsb.cz/330/en/technical-vibration/ |
[1] JULIŠ, K,- BREPTA, R. Mechanika II. Díl Dynamika. Praha: SNTL , 1987. 685 s.
[2] BRÁT, V., STEJSKAL, V. a VOTÍPKA, F.. Základy dynamiky strojů a konstrukcí. Vyd. 3. Praha: České vysoké učení technické, 1982. |
Planned learning activities and teaching methods |
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Lectures, Tutorials |
Assesment methods and criteria |
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Tasks are not Defined |