Course Details
Dynamics of structures
Academic Year 2024/25
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.