AIMS AND CONTENT

AIMS AND LEARNING OUTCOMES

The attendance and active participation in the proposed training activities will allow the student to:

analyze the propagation of volume waves in linear elastic and isotropic media;

recognize and analyze, under the assumption of linearity, physical problems of structural engineering which can be solved through the analysis of 2D systems;

know the fundamentals of the structural models for plates;

obtain the basic theoretical foundations and the necessary technical references for the dynamic analysis of structures subjected to forces considered as deterministic actions;

acquire the skills to study the dynamic response of simple structural systems in relation to the main dynamic environmental actions, such as wind and earthquake.

TEACHING METHODS

The module provides 50 hours of lectures in the classroom, in which the presentation of theoretical contents alternates with the discussion of case studies of structural engineering.

Students who have valid certification of physical or learning disabilities on file with the University and who wish to discuss possible accommodations or other circumstances regarding lectures, coursework and exams, should speak both with the instructor and with Professor Federico Scarpa (federico.scarpa@unige.it ), the Polytechnic School's disability liaison.

SYLLABUS/CONTENT

The programme of the module includes the presentation and discussion of the following topics:

Linear Elasticity Theory. Field equations. Solution strategies for the elastic problem: analytical and numerical approaches. Propagation of volume waves in linear elastic and isotropic media.

Plane strain and plane stress problems. Stress formulation with Airy funtion. Polynomial solutions. Polar formulation. Lamé problem. Plates with hole. Radial plane solutions.

Bidimensional structural theories. Kirchhoff Love theory for plates: membrane and bending theories. Field equations and boundary conditions. Navier and Levy solution methods. Plate effect. Mindlin-Reissner theory. Circular plates.

Discrete dynamic systems with one degree of freedom. Equation of motion, free vibrations, forced vibrations, viscous damping ratio, direct solution techniques in the time domain, analysis in the frequency domain (simple harmonic force, periodic and aperiodic force), qualitative examples of response in the frequency domain, response spectrum, and seismic response spectrum.

Discrete dynamic systems with N degrees of freedom. Equations of motion, real examples. Undamped free vibrations, modal analysis of planar structures, undamped forced vibrations, damped forced vibrations, notes on the frequency domain analysis of classically damped structures, modal truncation, seismic analysis.

RECOMMENDED READING/BIBLIOGRAPHY

The following books are suggested as supporting and deepening texts:

Nunziante L., Gambarotta L., Tralli A. (2008). Scienza delle costruzioni, McGraw-Hill, Milano.

Timoshenko S., Goodier J.N. (1951). Theory of elasticity, McGraw-Hill, New York.

Timoshenko S.P., Woinowsky-Krieger S. (1959). Theory of plates and shells, McGraw-Hill, Singapore.

Course Notes on Dynamic Systems (AulaWeb).

Muscolino, G. (2012). Dinamica delle strutture con fondamenti ed applicazioni di ingegneria sismica e dinamica aleatoria, Pitagora

Inman, D.J. (2014). Engineering Vibrations, 4th Ed., Pearson

TEACHERS AND EXAM BOARD

Exam Board

SERENA CATTARI (President)

ROBERTA MASSABO'

ILARIA MONETTO (President Substitute)

GIUSEPPE PICCARDO (President Substitute)

LESSONS

LESSONS START

https://corsi.unige.it/corsi/10799/studenti-orario

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The final exam of the module consists in passing two interviews, one on the topics related to the static analyses and one on the topics related to the dynamic analyses.

The students can be required to describe case studies, concepts, theories, and formulations, as well as to derive equations and prove theorems.

ASSESSMENT METHODS

The details on how to prepare the exam and on the degree of deepening of each topic will be given during the lessons.

The exam aims to verify the knowledge of the theoretical bases of the module and assess the ability to apply them to general or specific cases of interest in the

The correctness and completeness of answers, as well as the quality of exposition, the correct use of technical terminology and critical reasoning ability will be evaluated.