228-0922/02 – Dynamics and experiemental testing of building structures (DSK)
| Gurantor department | Department of Structural Mechanics | Credits | 10 |
| Subject guarantor | prof. Ing. Stanislav Pospíšil, Ph.D. | Subject version guarantor | prof. Ing. Stanislav Pospíšil, Ph.D. |
| Study level | postgraduate | Requirement | Compulsory |
| Year | | Semester | winter + summer |
| | Study language | English |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FAST | Intended for study types | Doctoral |
Subject aims expressed by acquired skills and competences
Understanding of advanced methods in structural dynamics.
Teaching methods
Lectures
Individual consultations
Summary
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
Additional study materials
Way of continuous check of knowledge in the course of semester
Oral exam in the form of defence of individual work.
E-learning
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.
Prerequisities
Subject has no prerequisities.
Co-requisities
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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