Course Details
Dynamics of structures
Academic Year 2025/26
Course Guarantor
Institute
Language of instruction
Czech
Credits
8 credits
Semester
winter
Forms and criteria of assessment
examination
Offered to foreign students
Not to offer
Course on BUT site
Lecture
13 weeks, 3 hours/week, elective
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.