Dynamics for Civil Engineers

Type of study	Follow-up Master
Language of instruction	English
Code	228-0311/02
Abbreviation	SD
Course title	Dynamics for Civil Engineers
Credits	5
Coordinating department	Department of Structural Mechanics
Course coordinator	prof. Ing. Stanislav Pospíšil, Ph.D.

Subject syllabus

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

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, Springer, 1993

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