Bibliographic resources
 Bibliography mandatory Bibliography not mandatory
 Summary Teaching Assignment
 Academic Year 2017/2018 School School of Industrial and Information Engineering Course 051486 - FUNDAMENTALS OF VIBRATION ANALYSIS AND VIBROACOUSTICS OF MUSICAL INSTRUMENTS 051484 - MODULE 1: FUNDAMENTALS OF VIBRATION ANALYSIS Cfu 5.00 Type of Course Module Lecturers: Titolare (Co-titolari) Alfi Stefano

Programme Track From (included) To (excluded) Course
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

 Detailed program and learning outcomes
 Course overview This module covers various aspects of mechanical vibrations theory and its applications. First, it covers free and forced vibration of linear single-degree-of-freedom systems. It then extends this analysis to two- and multi-degree-of-freedom linear systems. Particular attention is given to frequency domain models and to the principal coordinate formulation based on modal superposition approach.   Syllabus Vibration of single d.o.f. linear systems: Derivation of the equation of motion of single degree of freedom linear systems through dynamic equilibrium equations and Lagrange equations Free vibration: response of the system to initial conditions, definition of natural frequency and damping ratio Forced vibration: response to constant, harmonic and periodic forces, frequency response function Vibration of single d.o.f. non-linear systems: Analysis of static equilibrium positions Linearization of the equation of motion about a static equilibrium position: effect of constant forces Vibration of 2-multi d.o.f. linear systems: Definition of the equations of motion of the system through Lagrange equations (scalar and matrix formulations) Vibration modes: definition of natural frequencies, damping ratios and mode shapes. Analysis of free and forced vibrations State space and frequency response models Modal approach for multi d.o.f. systems Formulation of the equations of motion in terms of principal coordinates Modal parameters of the system Analysis of free and forced vibration in principal coordinates Representation of the frequency response functions in terms of modal coordinates

 Notes on methods of assessing
 During the course, students are assigned a project consisting in the modelling and the numerical analysis of a vibrating system. The final assessment consists in a review of the project and an oral discussion of the topics of the course.

 Bibliography
 Cheli F., Diana G., Advanced Dynamics of Mechanical Systems, Editore: Springer, Anno edizione: 2015 Meirovitch L., Fundamentals of Vibrations, Editore: McGraw-Hill, Anno edizione: 2001

 Software used
 No software required

 Didactic forms
Type of didactic form Teaching hours
lesson
30.0
training
20.0
computer laboratory
0.0
experimental laboratory
0.0
project
0.0
project laboratory
0.0

 Information in English to support internationalization
 Course offered in English Study material/slides available in English Textbook/Bibliography available in English It is possible to take the examination in English
 schedaincarico v. 1.10.0 / 1.10.0 Area Servizi ICT 04/08/2024