228-0922/01 – Dynamics and experiemental testing of building structures (DSK)

Gurantor departmentDepartment of Structural MechanicsCredits10
Subject guarantorprof. Ing. Stanislav Pospíšil, Ph.D.Subject version guarantorprof. Ing. Stanislav Pospíšil, Ph.D.
Study levelpostgraduateRequirementCompulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFASTIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
KRE13 prof. Ing. Martin Krejsa, Ph.D.
POS05 prof. Ing. Stanislav Pospíšil, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 2+0
Part-time Examination 28+0

Subject aims expressed by acquired skills and competences

Understanding of advanced methods in structural dynamics.

Teaching methods

Individual consultations


Students will be familiar with advanced analytical and numerical methods of dynamics of building structures in the complex domain. Advanced eamples of multi-degree systems with numerical methods and computer mechanics will be solved. The subject will include the analysis of continuous systems, introduction to experimental diagnostic methods and solution of basic stability tasks using dynamics methods.

Compulsory literature:

1. Clough, R.W. and Penzien, J. (1993) Dynamics of structures. McGraw-Hill. 2. Zienkiewicz, O. C., Taylor, R. L., Zhu: The Finite Element Method: Its Basics and Fundamentals, Butterworth-Heinemann, Burlinghton, 2005

Recommended literature:

Mario Paz. Structural Dynamics, Theory and Computation, 1993, Springer

Way of continuous check of knowledge in the course of semester

Oral exam in the form of defence of individual work.


Other requirements

The student fully understands basic concepts of dynamics and dynamics of building structures. Can compile equation I for more advanced tasks. Solves the equations for systems with multiple degrees of freedom. He can apply numerical methods. He is able to design a numerical calculation in FEM and a simple experimental procedure for diagnostics of dynamic properties od structures.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. Energy principles of dynamics, derivation of the equation of motion 2. Equation of motin, solution of free vibration of one DOF, solution in the complex domain, characteristic equation 3. Solution of forced vibration of one DOF, transfer function 4. Analogy between translational and rotational vibration, generalized coordinates 5. Solution of damped vibration of 1DOF 6. Solution of Fourier series and Fourier Integral 7. Vibration of systems with one DOF loaded by general loading, Duhamel integral 8. Numerical solution of equations of motion (Newmark\'s method and its modifications) 9. System with more DOF, system matrices, eigenvalues and eigenvectors in complex domain 10. Free vibration of MDOF systems 11. Forced vibration in MDOF systems using complex functions 12. Systems with distributed properties-I 13. Systems with distributed properties - II 14. Dynamic stability, experimental methods in structural dynamics, similarity

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Examination Examination   3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2022/2023 (P0732D260004) Civil Engineering K Czech Ostrava Compulsory study plan
2022/2023 (P0732D260004) Civil Engineering P Czech Ostrava Compulsory study plan
2021/2022 (P0732D260004) Civil Engineering P Czech Ostrava Compulsory study plan
2021/2022 (P0732D260004) Civil Engineering K Czech Ostrava Compulsory study plan
2020/2021 (P0732D260004) Civil Engineering K Czech Ostrava Compulsory study plan
2020/2021 (P0732D260004) Civil Engineering P Czech Ostrava Compulsory study plan
2019/2020 (P0732D260004) Civil Engineering P Czech Ostrava Compulsory study plan
2019/2020 (P0732D260004) Civil Engineering K Czech Ostrava Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

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