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Risorse bibliografiche
Risorsa bibliografica obbligatoria
Risorsa bibliografica facoltativa
Scheda Riassuntiva
Anno Accademico 2018/2019
Scuola Scuola di Ingegneria Civile, Ambientale e Territoriale
Insegnamento 092844 - DYNAMICS OF STRUCTURES
Docente Perotti Federico
Cfu 10.00 Tipo insegnamento Monodisciplinare

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento
Ing - Civ (Mag.)(ord. 270) - MI (488) INGEGNERIA CIVILE - CIVIL ENGINEERING*AZZZZ052330 - EARTHQUAKE ENGINEERING ANALYSIS (I.C.)
092844 - DYNAMICS OF STRUCTURES
092845 - ELEMENTS OF DYNAMICS OF STRUCTURES
Ing Ind - Inf (Mag.)(ord. 270) - BV (478) NUCLEAR ENGINEERING - INGEGNERIA NUCLEARE*AZZZZ092844 - DYNAMICS OF STRUCTURES
Ing Ind - Inf (Mag.)(ord. 270) - MI (424) INGEGNERIA NUCLEARE*AZZZZ092844 - DYNAMICS OF STRUCTURES

Obiettivi dell'insegnamento

The course operates within the stream of structural analysis disciplines, focusing on procedures for computing the response of linear discretized systems to dynamic loads. The main purpose is to bridge the gap between rigorous procedures for writing and integrating the equations of motions and design procedures which are adopted, at various level of refinement, in the design of civil engineering structures against environmental and antropic dynamic loading conditions.

Whithin this framework, the course aims at:

- developing a strong theoretical background in the field of modelling structural problems related to dynamic loads, addressing both loading and structural representation, with reference to both deterministic and probabilistic frameworks,

- developing a strong background about the procedures for computing, from the above models, the structural response to dynamic loads, especially focusing on applications to seismic, wind and offshore engineering and to problems related to machine foundations,

- developing, justifying and commenting the procedures which are adopted, at different levels of complexity, in structural design applications addressing dynamic actions applied to civil engineering structures and infrastructures.  

 


Risultati di apprendimento attesi

The students are expected to gain confidence and insight into the numerical and experimental techniques currently employed in civil engineering dynamics. The first part of the course is devoted to the development of linear vibration theory within a classical deterministic context; in the second part, applications to wind, seismic and offshore engineering are developed within the probabilistic framework typical of modern codes and recommendations.

Within this framework the expected learning achievements are as follows

knowledge and understanding

after having attended the course and passed the exam, the student is expected

1 - to know the principles and fundamental methods for developing discretized models of structural dynamics problems,

2 - to know the principles and fundamental methods for solving the equations of motion of discretized systems under the mosto common dynamic loading conditions applied to civil engineering structures,

3 - to possess adequate knowledge of the general procedures which are at the basis of the development of modern procedures for automatic computer based simulation of dynamic structural response,

4 - to possess adequate knowledge about the methods for modelling dynamic loading and response as random processes, and about the way in which they are reflected by modern codes addressing dynamic loads,

5 - to possess a basic knowledge about field measurment procedures in vibration analysis.

applying knowledge and understanding

after having attended the course and passed the exam, the student is expected

6 - to manage simple hand procedures for the estimation of dynamic response, to be used for preliminary design and for checking the results obtained by refined procedures,

7 - to manage refined simulations of the dynamic response of linear discretized systems, by consciously employing available software packages,

8 - to apply modern codes and procedures for structural design in seismic, wind and offshore engineering contexts,

9 - to analyze the results of field measument of vibration.


Argomenti trattati

Equations of motion for linear discretized systems.

Lagrange equations. Discretization methods: lumped mass and assumed-mode methods. Viscous damping. Cases of rotating masses and moving reference.

One-degree-of-freedom systems.

Free vibration.  Harmonic forces: transient and steady state response, frequency response function, magnification factor. Dynamic equilibrium; Argand diagrams. Arbitrary forces: Duhamel integral, numerical step-by-step analysis, frequency domain analysis.

Multi-degree-of-freedom systems.

Free vibration. Properties of eigenpairs. Modal superposition analysis for undamped and damped systems. The case of seismic actions; response Spectrum method. Direct methods; frequency analysis, numerical integration in time and frequency domain. Application of harmonic analysis to the case of machine foundations.

Elements of random vibration analysis.

Modelling dynamic actions as stochastic stationary processes: direct and cross spectral densities, extreme values. Response of linear systems to reandom excitation, applications to seismic, wind and offshore engineering.

Modelling of dynamic forces due to fluid-structure interaction.

Morison equation for slender bodies. Aerodynamic (wind) actions and hydrodynamic (waves-current) actions on structures. Linearization of drag forces due to turbulent wind. Aerodynamic damping. Equivalent static forces: dynamic coefficient. Excitation due to vortex shedding.

Vibration measure and analysis.

Vibrometers, measurement chains, harmonic analysis of vibration.

 

 


Prerequisiti

The student is expected to possess an adequate background about

- principles and methods of fundamental mechanics, such as point and rigid-body kinematics and general principles governing the dynamics of n-DoF systems (Lagrange Equations),

- solid and structural mechanics, including state of stress and deformation, virtual work principle, beam theory, analysis of frames, buckling analysis,

- linear algebra (matrices, solution of linear systems, eigenvalue problems).


Modalità di valutazione

The exam/evaluation is based on:

- the solution of "takehome" problems, to be performed by the students along the course,

- a final oral exam, encompassing a practical question (equations of motion of a simple system) and some questions related to the theoretical/metodological aspects of the course.

The takehome problems focus on the verification of learning objectives 1,2 and 6, while the oral exam aims at veryfying all the expected achievements.


Bibliografia
Risorsa bibliografica facoltativaL. Meirovitch, Elements of Vibration Analysis, Editore: McGraw-Hill

Forme didattiche
Tipo Forma Didattica Ore di attività svolte in aula
(hh:mm)
Ore di studio autonome
(hh:mm)
Lezione
65:00
97:30
Esercitazione
35:00
52:30
Laboratorio Informatico
0:00
0:00
Laboratorio Sperimentale
0:00
0:00
Laboratorio Di Progetto
0:00
0:00
Totale 100:00 150:00

Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua Inglese
Disponibilità di materiale didattico/slides in lingua inglese
Disponibilità di libri di testo/bibliografia in lingua inglese
Possibilità di sostenere l'esame in lingua inglese
Disponibilità di supporto didattico in lingua inglese

Note Docente
schedaincarico v. 1.6.1 / 1.6.1
Area Servizi ICT
08/12/2019