337-0304/03 – Technical Vibrations (TECKM)

Gurantor departmentDepartment of MechanicsCredits5
Subject guarantordoc. Ing. Jiří Podešva, Ph.D.Subject version guarantordoc. Ing. Jiří Podešva, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2013/2014Year of cancellation2014/2015
Intended for the facultiesFSIntended for study typesBachelor
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 3+3
Combined Credit and Examination 8+6

Subject aims expressed by acquired skills and competences

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.

Teaching methods



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.

Compulsory literature:

[1] Geradin,Michel - Rixen,Daniel: Mechanical Vibrations. Wiley, Masson, 1994, 412p. ISBN 0-471-93927-7

Recommended literature:

Way of continuous check of knowledge in the course of semester


Další požadavky na studenta



Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

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.

Conditions for subject completion

Full-time form (validity from: 2013/2014 Winter semester, validity until: 2014/2015 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 35  20
        Examination Examination 65  31
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2014/2015 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2013/2014 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner