| Course Unit Code | 228-0311/01 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | There are no prerequisites or co-requisites for this course unit |
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| Name of Lecturer(s) | Personal ID | Name |
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| POS05 | prof. Ing. Stanislav Pospíšil, Ph.D. |
| RAN01 | Ing. Lenka Koubová, Ph.D. |
| Summary |
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| Tn the subject there are introduced methods for solution of dynamics of civil engineering structures problems. There are explained analytical and numerical methods for solution of systems with one degree of freedom, of with general degrees of freedom. Aplications of these methods to civil engineering tasts is discussed. |
| Learning Outcomes of the Course Unit |
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Ability to use analytical solutions for basic problems in structural dynamics. Ability to use numerical methods for systems with one or more degrees of freedom.
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| Course Contents |
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Basic principles of dynamics, energy theorems, impulse theorem, degree of freedom, D\'Alembert principle, definition of load
1. Oscillation equation, free non-damped oscillation, characteristic equation,
2. Forced oscillation of an undamped systems with one degree of freedom
3. Analogy translational and rotational motion, generalized coordinates
4. Damping, damped oscillation
5. Fourier series solutions - decomposition of periodic functions
6. The oscillation of a system with one degree of freedom of impulses, Duhamel integral
7. Vibration of pulse-loaded load-bearing systems with one degree of freedom
8. Numerical solution of differential equation of motion (interpolation method, differential method, Newmark method)
9. The system with multiple degrees of freedom, system matrix, eigen-values and eigen-vectors
10. Free oscillation of systems with multiple degrees of freedom
11. Forced oscillation of the system with multiple degrees of freedom
12. Oscillation of systems with distributed parameters, boundary conditions
13. Fundamentals of structural diagnostics - use of dynamic methods |
| Recommended or Required Reading |
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| Required Reading: |
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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 |
1. Baťa, M. - Plachý, V. - Trávníček, F.: Dynamika stavebních konstrukcí. Praha, SNTL/ALFA 1987
2. Stejskal, V., Okrouhlík, M.: Kmitání s Matlabem, ČVUT, 2001
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| Recommended Reading: |
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| Mario Paz. Structural Dynamics, Theory and Computation, Springer, 1993 |
1. Technický průvodce 33 - Dynamika stavebních konstrukcí, SNTL, Praha1989
2. J.L. Meriam, L.G.Kraige : Engineering mechanics-dynamics, Wiley and Sons,
USA,2003
3. Kuchárová, D. – Melcer, J.: Dynamika stavebných konštrukcií. EDIS ŽU Žilina, 2000 |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 35 | 18 |
| Examination | Examination | 65 | 30 |