- Knowledge and understanding of earthquake engineering and structural dynamics problems, and their formulation in a structural engineering context; - Knowledge and understanding of methodologies for seismic risk assessment from regional to local scales; - Ability to apply seismic analysis and design tools and methodologies.

Basic knowledge of mathematics, mechanics and structural engineering.

- Single degree of freedom (SDoF) systems (10 h): Concepts of analytical dynamics. Response of the damped linear oscillator. 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 (8 h) Modal analysis of discretized systems. Non-classically damped systems. State observers and control equations. Distributed mass systems. Use of FEM in earthquake engineering and dynamics. Concepts of experimental modal analysis. - Seismic risk (6 h): Concepts of applied seismology, attenuation relationships and seismic scales. Seismic hazard analysis, Cornell’s method. Vulnerability of exposed values. - 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; response history analysis with artificial accelerograms; frequency response analysis with spectral energy. - Earthquake resistant building design (12 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 buildings. Rules for existing masonry buildings. Systems and devices for passive (isolation, dissipation, and energy absorption with tuned mass/liquid dampers), hybrid, semiactive and active control. Dynamic and seismic monitoring. Seismic protection of cultural heritage assets.

Both numerical and design applications will be developed. Students will be introduced to Matlab libraries and tools for solving earthquake engineering and dynamics problems. - Calculation of the dynamic and seismic response of elementary structures, in time and frequency domains. Seismic isolation and vibration reduction. (8 h) - Modal analysis: application to the dynamic response of framed structures subjected to real or artificial ground motions. (6 h) - Multi-modal response spectrum analysis in accordance with Eurocode 8. Application to the seismic design or retrofitting of a building. (16 h) - Seismic monitoring and control of a building. (6 h)

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 - Analisi sismica per livelli di conoscenza del patrimonio architettonico / Rosario Ceravolo, Giacomo V. Demarie, 2009

Lecture slides; Lecture notes; Exercises;

Exam: Compulsory oral exam; Group graphic design project;

To be admitted to the exam, students must have satisfactorily completed the essays and the project assigned during the course. The final test is oral and is aimed at evaluating all the learning outcomes also on the basis of the discussion of the project. The discussion of the project accounts for up to a third of the total score, however an insufficient grade on this part will automatically result in failure to pass the exam. Honors will be awarded to students who, in addition to having an in-depth knowledge of the topics covered, demonstrate the ability to discuss them with a critical sense.

In addition to the message sent by the online system, students with disabilities or Specific Learning Disorders (SLD) are invited to directly inform the professor in charge of the course about the special arrangements for the exam that have been agreed with the Special Needs Unit. The professor has to be informed at least one week before the beginning of the examination session in order to provide students with the most suitable arrangements for each specific type of exam.