DYNAMIC ANALYSIS AND SEISMIC DESIGN OF STRUCTURES (UNIT 1)
Learning outcomes of the course unit
The aim of this course is to present the fundamental tools for evaluating the response of a structure submitted to dynamic loads.
Course contents summary
Single-degree-of-freedom systems. Free-vibration response (undamped and damped vibrations). Response to harmonic, periodic, impulsive and general dynamic loading. Elastic-plastic systems.
Multi-degree-of-freedom systems. Free vibrations (natural frequencies and modes), principal coordinates. Damping. Uncoupled equations of motion. Mode-superposition procedure. Methods for the step-by-step integration of the equations of motion. Non-linear systems.
Distrubuted-parameter systems. Free vibrations of beams under bending. Free vibrations of plates.
Discretization methods. Rayleigh-Ritz, finite elements.
Dynamics of frames.
A. CARPINTERI: “Dinamica delle strutture”, Ed. Pitagora, Bologna, 1998.
R.W. CLOUGH – J. PENZIEN: “Dynamics of structures”, McGraw-Hill, New York, 1993.
G. MUSCOLINO: “Dinamica delle strutture”, McGraw-Hill, Milano, 2002.
E. VIOLA: “Fondamenti di dinamica e vibrazione delle strutture”, Vol. 1, Ed. Pitagora, Bologna, 2001.
Theory supported by exercises.
Assessment methods and criteria
Oral examination possibly complemented by a written examination