330-0101/01 – Introduction to Mechanical Vibrations and Structural Dynamics (IntMech)
| Gurantor department | Department of Applied Mechanics | Credits | 5 |
| Subject guarantor | doc. Ing. Jiří Podešva, Ph.D. | Subject version guarantor | doc. Ing. Jiří Podešva, Ph.D. |
| Study level | undergraduate or graduate | | |
| | Study language | English |
| Year of introduction | 2015/2016 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Bachelor, Master, Follow-up Master |
Subject aims expressed by acquired skills and competences
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"
Teaching methods
Lectures
Seminars
Summary
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.
Compulsory literature:
Geradin M., Rixen D. : Mechanical Vibrations. Wiley, Masson, 1994.
Recommended literature:
Harris C.M., Crede C.E. : Shock and Vibration Handbook. Mc.Graw-Hill, Inc, 1991.
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
to be a diligent and honest student
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction