Course detail

Dynamics of structures

FAST-DDB035Acad. year: 2025/2026

Oscillation of the dynamic system, FEM application, modal analysis, solution of the generalized problem of the eigenvalues, subspace iteration and the Lancz method, response on the general dynamic excitation, procedures of integration of the motion equations, response to the harmonic excitation, response to the seismic excitation, design and evaluation of structures loaded with machines, wind and seismicity, non-linear dynamics.

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

doc. Ing. Vlastislav Salajka, CSc.

Department

Institute of Structural Mechanics (STM)

Entry knowledge

Theory bases corresponding to the knowledge of an engineer. Work with the technical literature in the Czech as well as of foreign languages.

Rules for evaluation and completion of the course

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Aims

Study of modern methods of the dynamic response of the bar, planar and massive structures (concentrating on the problems related to the thesis topics). Advanced knowledge of the structure oscillation theory, the appropriate terminology, design and evaluation of structures under the effect of circulating machines, wind and seismicity.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme DKA-K Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPC-K Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPA-K Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPC-K Doctoral 2 year of study, winter semester, compulsory-optional

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

doc. Ing. Vlastislav Salajka, CSc.

Syllabus

  • 1. Introduction. Oscillation of dynamic system with one degree of freedom.
  • 2. Dynamic continuous systems. Traditional solution of the bar and plate rotation.
  • 3. Dynamic systems with various degrees of freedom. Derivation of the mass matrix of the structure.
  • 4. Solving dynamic problems with the use of the Finite Element Method. Types of analyses.
  • 5. Modal analysis. Generalized problem of the eigenvalues. Introduction to the theory of solution.
  • 6. Detail transformation, spectrum separation, QR, QL matrix decomposition, ortogonalization, etc.
  • 7. Subspace iteration, Lancz method. Implementation to programs.
  • 8. Solution of problems in the time period. Method of decomposition according to the proper oscillation shape. Integration of the motion equations. Implicit and explicit procedures of integration.
  • 9. Special types of response. Response to the harmonic excitation, response to the seismic excitation. Linear spectrum of response. Use of the response spectra for the calculation.
  • 10. Generation of the response spectra.
  • 11. Design and evaluation of structures under the effect of the circulating machines.
  • 12. Design and evaluation of structures under the effect of the wind.
  • 13. Introduction to the non-linear dynamics of structures.