| Course Unit Code | 330-0304/02 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Third Year |
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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 | Czech |
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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 free and forced longitudinal vibration, undamped and damped, linear and non/linear, with 1 degree of freedom (DOF) and more DOF. The free undamped and damped vibration. The assembly of springs - serial and parallel. The forced vibration, constant force, harmonically changing force. The steady state solution, the transient solution. The amplitude and phase diagram. The centrifugal force as the cause of vibration. The force transmision into the ground. The vibration with 2 DOF, the basic features, the equations of motion, the solution. The free undamped vibration with 2 DOF, the natural frequencies and mode shapes, the modal properties. The forced vibration with 2 DOF. The anti-resonance phenomenon, the active damping. The vibration with more DOF - generalization. The free vibration - the modal properties - the modal analysis. The forced vibration - the harmonic analysis. The forced vibration - the transient solution. |
| 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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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 35 | 20 |
| Examination | Examination | 65 | 16 |