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Dynamics and experiemental testing of building structures

Type of study Doctoral
Language of instruction Czech
Code 228-0922/01
Abbreviation DSK
Course title Dynamics and experiemental testing of building structures
Credits 10
Coordinating department Department of Structural Mechanics
Course coordinator prof. Ing. Stanislav Pospíšil, Ph.D.

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

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

Advised literature

Mario Paz. Structural Dynamics, Theory and Computation, 1993, Springer