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Lecturer(s)
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Byrtus Miroslav, Doc. Ing. Ph.D.
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Hajžman Michal, Doc. Ing. Ph.D.
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Course content
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1. Dynamic stability of the linear discrete systems having one or more degrees of freedom 2. Analytical computation of discrete linear mechanical system response having finite number degree of freedom to arbitrary excitation. The use of modal method for weakly damped systems with commutative damping matrix 3. The use of modal method for systems with general damping matrix 4. Numerical methods for integration of the mathematical model of mechatronical system 5. and 6. Free and forced vibration of linear continuum 7. Controlability, observability and corresponding placement proposal of sensors and actuators based on sensitivity analysis 8. Feedback control systems. Model assemblage, control proposal and robustness assessment 9. Feedforward control systems 10. Mathematical modelling of the actuators realized by piezo patches 11. Mathematical modelling of the sensors realized by piezo patches. Analysis and shape proposal of patch taking into account frequency range of sensing excitation of mechanical system 12. Vibration active damping of periodically and randomly excited systems using feedback control 13. Vibration active damping of systems loaded by external random excitation using feedforward control
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Learning activities and teaching methods
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Laboratory work, Lecture, Practicum
- Graduate study programme term essay (40-50)
- 80 hours per semester
- Contact hours
- 52 hours per semester
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| prerequisite |
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| Knowledge |
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| orient yourself in the field of mechanics of solid bodies at the level of the basic mechanics course of technical universities |
| identify problems related to the oscillation of linear systems |
| have knowledge of the basics of differential and integral calculus from the field of mathematical analysis and matrix calculus from linear algebra |
| describe procedures for solving vibrations of linear systems |
| Skills |
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| define basic terms from the theory of oscillation |
| solve for the response of a linear open-loop system |
| justify the need for active damping of the oscillating system |
| select a suitable member for the implementation of active damping |
| Competences |
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| N/A |
| learning outcomes |
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| Knowledge |
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| classify a mechatronic system from the point of view of control |
| identify the input to a mechatronic system (deterministic vs. stochastic) |
| orient yourself in the choice and selection of active elements |
| define a suitable control law in terms of robustness and limited energy consumption for the reduction or complete suppression of vibrations of the mechatronic system |
| Skills |
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| determine suitable places to place sensors and actuators to suppress vibrations of the resulting mechatronic system using dynamic sensitivity |
| propose control parameters in terms of robustness and limited energy consumption for the reduction or complete suppression of vibrations of the mechatronic system |
| to design a suitable type of active elements and sensors with regard to the nature, dimensions and magnitude of the excitation of the mechanical system |
| solve the response of a system with active elements to deterministic and stochastic excitation |
| Competences |
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| N/A |
| teaching methods |
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| Knowledge |
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| Lecture |
| Practicum |
| Skills |
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| Lecture |
| Practicum |
| Competences |
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| Lecture |
| Practicum |
| assessment methods |
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| Knowledge |
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| Oral exam |
| Skills |
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| Oral exam |
| Competences |
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| Oral exam |
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Recommended literature
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Dupal, Jan. Výpočtové metody mechaniky. 3. vyd. Plzeň : Západočeská univerzita, 2004. ISBN 80-7043-339-6.
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Valášek, Michael. Mechatronika. Praha : ČVUT, 1995. ISBN 80-01-01276-X.
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