
Course unit
DYNAMICS OF STRUCTURES
IN01101874, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Core courses 
ICAR/08 
Construction Science 
9.0 
Course unit organization
Period 
Second semester 
Year 
1st Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Lecture 
9.0 
72 
153.0 
No turn 
Prerequisites:

Solid Mechanics, Numerical Methods, Solid Mechanics 2, Structural Mechanics 
Target skills and knowledge:

* Acquire the theoretical foundations underlying the real dynamic behavior of SDOF and MDOF systems, with particular reference to the concepts of dynamic/seismic response and to the definitions of resistant inertial forces, resistant elastic forces and viscous damping forces, as well as response spectra;
* Acquire the methodologies necessary for critical analysis and rough seismic design of framed structures;
* Knowing, understanding and being able to use current regulations for the development of antiseismic design and analysis;
* Be able to critically analyze framed girders and determine their dynamic response, also through F.E. softwares;
* Be able to clearly articulate the topics discussed during the course, as well as to critically analyze them, link them and if possible transfer them to a practical example. 
Examination methods:

Midterm tests, oral/written exam and practical test (project).
During the course even exercises are assigned in the form of homeworks or tests to be solved during the lecture itself.
The midterm tests replace the oral exam, which serves as an integrative test; the topics covered by the tests are those dealt with during the course by the course holder.
The project concerns the definition of the seismic response of typical structures in steel or reinforced concrete and allows to verify the student's skills in the application of the existing regulations for typical buildings. 
Assessment criteria:

The evaluation criteria are based on the assessment of:
 calculation and resolution capabilities for SDOF and MDOF structural systems, as well as primarily the acquisition of correct resolution methodologies in the dynamic field;
 problemsolving skills;
 knowledge and understanding of the concepts and theoretical topics developed during the course;
 ability to link subjects and critical reelaboration;
 correct understanding of the current legislation and its application for assigned typical buildings;
 ownership of language, with particular reference to the acquisition of technical terminology. 
Course unit contents:

Examples of dynamic forces, procedures of dynamic analysis, dynamic analysis of 1 dof systems.
Response in free vibrations: undamped and damped free vibrations, critical damping.
Response to harmonic loads: undamped and damped systems, resonance.
Vibrations isolation.
Damping ratio.
Response to impulsive loads: sinusoidaltype impulse, stepwise impulse.
Examples and exercises.
Response spectra.
Response to generic dynamic loads: Duhamel and convolution integrals. Numerical evaluation of Duhamel integral for an undamped system: simple summation, trapezoidal rule, Sympson. Damped systems.
Fourier integral and transform.
response spectra with base motion.
Numerical solution of the motion equations for nonlinear systems. Stepbystep numerical methods.
Mdof systems. Modal analysis: the modal superposition method, damping matrix (Rayleigh damping, modal damping), seismic excitation, example.
Applications of static and dynamic analysis according to the Italian Recommendations. Ductility of structural elements, structural ductility, elasticplastic oscillator.
Directional effect of the seismic action, approach to Technical Recommendations from OPC 3274, approach to Eurocode 8 
Planned learning activities and teaching methods:

The course is structured in frontal lessons. Interaction with the student and his direct participation during the development of the classroom exercises is stimulated. 
Additional notes about suggested reading:

 Seismic Engineering
* Clough, R.W., Penzien, J., Dynamics of Structures, Mc. GrawHill, NY, USA, ISBN 0070113920, 1975.
* Filiatrault, A., Elements of earthquake engineering and structural dynamics, Polytechnic International Press, Canada, ISBN13 9782553006296, 1998.
* OPCM N 3274 del 20 Marzo 2003: Primi elementi in materia di criteri generali per la classificazione sismica del territorio nazionale e di normative tecniche per le costruzioni in zona sismica.
* UNIENV 19981 Indicazioni progettuali per la resistenza sismica delle strutture.
* Testo Unico per le Costruzioni.
 Modal analysis and identification
* Ewins, D.J., Modal Testing: Theory, Practice and Application, Mechanical Engineering Research Studies: Engrg Dynamics Series, WileyBlackwell, ISBN13 9780863802188, 1999. 
Textbooks (and optional supplementary readings) 

Chopra, A.K., Dynamics of Structures: Theory and applications to earthquake engineering. One Lake Street, NJ, USA: Prentice Hall, 2012. ISBN 13: 9780132858038

Majorana, C., Modena, C., Franchetti, P., Grendene, M., Secchi, S., Fondamenti di dinamica e di ingegneria sismica. Milano: McGrawHill, 2007.

Viola, E., Fondamenti di dinamica e vibrazione delle strutture; Vol. I: Sistemi discreti; Vol. II: Sistemi continui. Bologna: Pitagora, 2001. ISBN 8837111371, 883711138X

Diana, G., Cheli, F., Dinamica e Vibrazioni dei sistemi Meccanici. Torino: Utet, 1993.

Den Hartog, J.P., Mechanical Vibrations. NY, USA: Dover Publications, 1985. ISBN 0486647854

GĂ©radin, M., Rixen, D., Mechanical Vibrations. NY, USA: John Wiley & Sons, 1994. ISBN13 9780471939276

Meirovitch, L, Fundamentals of Vibrations. NY, USA: McGrawHill International Edition: Mechanical eng., 2001. ISBN13 9780071181747

Muscolino, G., Dinamica delle strutture. Milano: McGrawHill, 2002. ISBN 8838609004

Innovative teaching methods: Teaching and learning strategies
 Lecturing
 Case study
 Working in group
 Problem solving
 Loading of files and pages (web pages, Moodle, ...)
Innovative teaching methods: Software or applications used
 Moodle (files, quizzes, workshops, ...)
Sustainable Development Goals (SDGs)

