The course is intended to provide principles and practices involved in approaching current problems in earthquake engineering. After an introduction to the subject of dynamical systems, the course will present modern solutions to questions concerned with the seismic response of structures, as well as seismic design. Exercise lessons, consisting of both numerical and design applications, aim at introducing students to handling efficient structural dynamics tools, so helping them to competently use international standards and rules for earthquake resistant structures.

- Knowledge and understanding of problems in earthquake engineering and structural dynamics, and their formulation in a structural engineering context; - Ability to develop models to evaluate the response and safety of structures to seismic actions; - Applying knowledge and understanding of seismic design tools and methodologies.

Basic knowledge of mathematics, mechanics and structural engineering.

- Earthquakes effects on structures (2 h) - Single degree of freedom (SDoF) systems (6 h) Response of the damped linear oscillator to harmonic and periodic excitation. Response to arbitrary excitation: frequency domain and time domain analysis. Response to stochastic excitation: temporal correlation and covariance; power spectral density; transfer functions. Response spectra. Experimental evaluation of damping. Direct integration of the equations of motion, time stepping methods. Basic concepts of seismic isolation. - Multiple Degree Of Freedom (MDoF) systems (6 h) Modal analysis of discretized systems. Distributed mass systems. Use of FEM in earthquake engineering and dynamics. - Structural analysis in seismic areas (8 h) Elastoplastic oscillator and ductility demand. Design response spectra. Linear and non-linear (push-over) static analysis. Modal analysis: response spectrum analysis; Time history analysis. - Earthquake resistant building design (8 h) Experiences learned from recent earthquakes: masonry, reinforced concrete, steel etc. Global ductility criteria and capacity design. Local ductility criteria and structural detailing for seismic areas. Rules for reinforced concrete and steel buildings. - Analysis of existing structures in seismic areas (6 h) Structural knowledge, levels of knowledge. Criteria for analysis and verification of reinforced concrete, masonry and steel structures. - Seismic retrofitting of structures (3 h) - Seismic isolation of structures (3 h)

Both numerical and design applications will be developed (18 h). The classroom exercises are dedicated to numerical applications aimed at analyzing the dynamic and seismic response of simple structures. The classroom design activities include assistance activities during which the necessary information will be provided to develop a complete project, with calculation reports and graphical drawings, of the structure of a building located in an earthquake zone. The design work is developed starting from architectural drawings.

Reference textbooks: Italian and European standards for constructions in seismic areas Lecture notes of the Earthquake Engineering course. Other readings: - Dynamics of structures / Ray W. Clough, Joseph Penzien, 1993. - Dynamics of structures: theory and applications to earthquake engineering/ Anil K. Chopra, 2005. - Fundamentals of earthquake engineering / Nathan M. Newmark, Emilio Rosenblueth, 1971. - Theoretical and experimental modal analysis/ Nuno MM Maia, Julio MM Silva, 1997. - Reinforced concrete structures / R. Park, T. Paulay, 1990 - Criteri di progettazione antisismica degli edifici / L. Petrini, R. Pinho, G.M. Calvi, 2004 - Progetto antisismico di edifici in cemento armato / E. Cosenza, G. Magliulo, M. Pecce, 2004

Modalità di esame: Prova orale obbligatoria; Elaborato progettuale individuale;

Exam: Compulsory oral exam; Individual project;

... To be eligible for the exam, students must have satisfactorily completed the structural design of a building developed during the course. The final exam is oral and is aimed at evaluating all learning outcomes also on the basis of a discussion of the project. The discussion of the project weighs up to one third of the total score, however an insufficient grade on this part will automatically result in the examination being rejected

Gli studenti e le studentesse con disabilità o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unità Special Needs, al fine di permettere al/la docente la declinazione più idonea in riferimento alla specifica tipologia di esame.