Introduction - Actions causing structural vibrations. Discretization of mass-distributed systems by the Lumped Mass approach and by the Assumed-Modes method.
Single Degree of Freedom Systems (SDOF) - Undamped oscillator: free vibration, harmonic response. Damped oscillator: free vibration, harmonic response, response to a periodic force.
Impulse response function. Arbitrary forcing function: convolution. Support motion. Experimental techniques to measure the viscous damping ratio. Elastic response spectrum.
Multi Degrees of Freedom Systems (MDOF) - Equations of motion for undamped and damped systems (linear viscous damping). Undamped systems: free vibration, natural frequencies, modal vectors and their properties, modal superposition method. Proportionally damped systems: response to harmonic, periodic and arbitrary forcing functions by the modal superposition method, response spectrum analysis.
The Finite Element method. Direct time integration methods.
Elements of Engineering Seismology - Elements of tectonics, elements of seismic wave propagation theory, introduction to local amplification effects, magnitude, focal mechanisms, ground motion parameters, elements of seismic hazard analysis.