330-0101/01 – Introduction to Mechanical Vibrations and Structural Dynamics (IntMech)

Gurantor departmentDepartment of Applied MechanicsCredits5
Subject guarantordoc. Ing. Jiří Podešva, Ph.D.Subject version guarantordoc. Ing. Jiří Podešva, Ph.D.
Study levelundergraduate or graduate
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFSIntended for study typesMaster, Follow-up Master, Bachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
POD10 doc. Ing. Jiří Podešva, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 16+16

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

Full-time form (validity from: 2015/2016 Winter semester, validity until: 2021/2022 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  15
        Examination Examination 65  30
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
IPSA Paris 2021/2022 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2020/2021 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2019/2020 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2018/2019 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2017/2018 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2016/2017 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2015/2016 Full-time English Choice-compulsory 301 - Study and International Office stu. block