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Risorsa bibliografica facoltativa
Scheda Riassuntiva
Anno Accademico 2019/2020
Scuola Scuola di Ingegneria Industriale e dell'Informazione
Insegnamento 052842 - FUNDAMENTALS OF VIBRATION ANALYSIS AND VIBROACOUSTICS
  • 052841 - VIBROACOUSTICS
Docente Corradi Roberto
Cfu 5.00 Tipo insegnamento Modulo Di Corso Strutturato

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento
Ing Ind - Inf (Mag.)(ord. 270) - MI (263) MUSIC AND ACOUSTIC ENGINEERING*AZZZZ052842 - FUNDAMENTALS OF VIBRATION ANALYSIS AND VIBROACOUSTICS
Ing Ind - Inf (Mag.)(ord. 270) - MI (474) TELECOMMUNICATION ENGINEERING - INGEGNERIA DELLE TELECOMUNICAZIONI*AZZZZ051486 - FUNDAMENTALS OF VIBRATION ANALYSIS AND VIBROACOUSTICS OF MUSICAL INSTRUMENTS
Ing Ind - Inf (Mag.)(ord. 270) - MI (481) COMPUTER SCIENCE AND ENGINEERING - INGEGNERIA INFORMATICA*AZZZZ051486 - FUNDAMENTALS OF VIBRATION ANALYSIS AND VIBROACOUSTICS OF MUSICAL INSTRUMENTS

Obiettivi dell'insegnamento

The aim of the course is to introduce students to engineering methods for vibration and sound radiation analysis of continuous structures. Both analytical/numerical models and experimental techniques are covered and particular attention is given to examples and applications, especially in the field of string musical instruments. Each topic is treated theoretically and practically, through traditional lectures and experimental/computer labs.


Risultati di apprendimento attesi

The course will provide students with:

  1. a knowledge of the modelling approaches to vibration analysis of continuous systems (DD1);
  2. an understanding of the basic physical principles of sound radiation from a vibrating structure (DD1);
  3. the ability to apply theoretical knowledge to the handling of complex vibroacoustic problems in real structures (DD2, DD3);
  4. the ability to perform standard vibration and sound measurements and to critically apply data processing techniques for modal parameters extraction or sound analysis (DD2, DD3);
  5. an opportunity to develop skills in summarizing and presenting the results achieved during the lab activities (DD4).

Argomenti trattati

Vibration and waves in one-dimensional continuous systems

The partial differential equation governing transverse vibration of stretched strings and axial vibration of bars (one-dimensional wave equation). Traveling waves and standing waves. Wave propagation speed, wavenumber, mechanical impedance. Transmission and reflection at an impedance change. Natural frequencies and vibration modes for different boundary conditions. The partial differential equation governing bending vibration of slender beams (Euler-Bernoulli beam). Dispersion and evanescent waves. Vibration modes, principal coordinates and modal superposition approach.

 

Vibration and waves in two-dimensional continuous systems

The partial differential equation governing bending vibration of thin plates (Kirchhoff plate). Bending waves propagation, the wavenumber vector, point mobility. Bending vibration of finite plates. Vibration modes of plates with different geometry and boundary conditions. Theoretical soundboard models for stringed instruments. Introduction to finite element method and examples of application to musical instruments.

 

Sound radiation from vibrating structures

General formulation of the problem. Sound radiation from an infinite plate. Wave/boundary matching. Critical frequency. Sound radiation from finite plates. Radiation efficiency. Introduction to the boundary element method and examples of application to the simulation of the vibroacoustic behaviour of musical instruments.

 

Experimental techniques

Fundamentals of experimental modal analysis: test equipment and test procedure, data processing and identification algorithms. Sound intensity and sound power measurement techniques. Practical examples relevant to stringed musical instruments.


Prerequisiti

The topics covered by the first module (Fundamentals of Vibration Analysis) are prerequisites to the second one (Vibroacoustics).


Modalità di valutazione

In addition to traditional lectures, the course includes experimental and computer labs, focused on specific methodologies, case studies or practical applications. Students are requested to prepare short reports on the assignments given during the labs, to be delivered at the final exam. The exam consists of an oral test, which includes a discussion on lab reports.

With reference to the expected learning outcomes: the oral exam is intended to verify items 1, 2 and 3, while items 4 and 5 will be checked during the discussion on lab reports.


Bibliografia
Risorsa bibliografica obbligatoriaCourse handouts available on BeeP https://beep.metid.polimi.it/
Risorsa bibliografica facoltativaF. Cheli, G. Diana, Advanced Dynamics of Mechanical Systems, Editore: Springer-Verlag, Anno edizione: 2015
Risorsa bibliografica facoltativaL. Meirovitch, Fundamentals of Vibrations, Editore: Waveland Press Inc., Anno edizione: 2001
Risorsa bibliografica facoltativaM. P. Norton, Fundamentals of Noise and Vibration Analysis for Engineers, Editore: Cambridge University Press, Anno edizione: 2010
Risorsa bibliografica facoltativaT. D. Rossing, The Science of String Instruments, Editore: Springer-Verlag, Anno edizione: 2010

Software utilizzato
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Forme didattiche
Tipo Forma Didattica Ore di attività svolte in aula
(hh:mm)
Ore di studio autonome
(hh:mm)
Lezione
32:00
48:00
Esercitazione
0:00
0:00
Laboratorio Informatico
10:00
15:00
Laboratorio Sperimentale
8:00
12:00
Laboratorio Di Progetto
0:00
0:00
Totale 50:00 75:00

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
schedaincarico v. 1.6.9 / 1.6.9
Area Servizi ICT
29/11/2021