Dynamics for Civil Engineers

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. Forced oscillation of the system with multiple degrees of freedom
11. Oscillation of systems with distributed parameters, boundary conditions
12. Fundamentals of structural diagnostics - use of dynamic methods