Portale di Ateneo - En.Unibs.it

Introduction - Actions causing structural vibrations. Discretization of
mass-distributed systems by the Lumped Mass approach and by the Assumed-Modes method. Writing and linearizing the equations of motion for discrete systems.

Single Degree of Freedom Systems (SDOF) - Undamped and 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.

Undamped Multi Degrees of Freedom Systems (MDOF) - Free vibration, natural frequencies, modal vectors and their properties. Undamped and proportionally damped systems: response to harmonic, periodic and arbitrary forcing functions by the modal superposition method. Elastic Response Spectrum. Response spectrum analysis.

Response of SDOF and MDOF systems to a transient forcing function via frequency domain analysis.

Finite Elements (outlining aspects related to structural dynamics) - Formation of the inertia matrix of a finite element. Non uniform support motion. Outline of numerical methods to determine the vibration modes.

Modeling damping in linear analyses.

Direct step-by-step dynamic analysis for linear and non linear systems.