| Course Unit Code | 330-0101/01 |
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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, Second 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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This subject is not intended for Erasmus and other exchange students, only for students from IPSA-Paris!!!
Introduction & motivation. Formulation of equation of motion, free vibration of undamped and damped single degree of freedom systems. Characterization of single degree of freedom systems, modal analysis: Undamped and damped harmonic response, identification of structural damping. Vibration of multiple degree of freedom systems. Vibration of rectilinear beams. |
| Learning Outcomes of the Course Unit |
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Knowledge. To arrange the knowledge about oscillating motion, collect them and define its laws.
Comprehension. To associate the knowledge of vibration propagation, to classify the different variations.
Application. To apply the knowledge to the calculation and evaluation of practical tasks.
Analysis. To analyze the practical oscillation tasks, to appraise the dynamic behavior of the system.
Synthesis. To combine the vibrating system parameters leading to optimal system skills.
Evaluation. To appraise the vibrating system behavior, to compare with variation solution. To interpret the system behavior.
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 natural damped vibration, parameters, equation of motion
12. Rotational natural damped vibration, time function, parameters
13. Torsional stiffness
14. Rotational forced vibration parameters, equation of motion, time function
15. The natural undamped vibration with 2 degrees of freedom, equations of motion, matrix notation
16. The natural undamped vibration with 2 degrees of freedom, solution of the natural frequencies
17. The natural undamped vibration with 2 degrees of freedom, solution of the mode shapes
18. The forced undamped vibration with 2 degrees of freedom, equations of motion, matrix notation
19. The forced undamped vibration with 2 degrees of freedom, solution of the amplitudes
20. The forced undamped vibration with 2 degrees of freedom, amplitude characteristics, what is “antiresonance"
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| Course Contents |
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Introduction & motivation
Formulation of equation of motion
Free vibration of undamped single degree of freedom systems
Free vibration of damped single degree of freedom systems
Characterization of single degree of freedom systems, modal analysis:
- Undamped and damped harmonic response
- Identification of structural damping
Vibration of multiple degree of freedom systems
Vibration of rectilinear beams |
| Recommended or Required Reading |
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| Required Reading: |
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Geradin M., Rixen D. : Mechanical Vibrations. Wiley, Masson, 1994.
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Geradin M., Rixen D. : Mechanical Vibrations. Wiley, Masson, 1994.
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| Recommended Reading: |
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| Harris C.M., Crede C.E. : Shock and Vibration Handbook. Mc.Graw-Hill, Inc, 1991. |
Harris C.M., Crede C.E. : Shock and Vibration Handbook. Mc.Graw-Hill, Inc, 1991.
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| Planned learning activities and teaching methods |
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| Lectures, Seminars |
| Assesment methods and criteria |
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| Tasks are not Defined |