Vibrations

Données Générales
Programme Académique	ECAM LaSalle Mechanical and Electrical Engineering Programme			Responsable(s) Module : MAJDOUB Fida
Type d'EC : Cours	Vibrations (LIIEEng06EVibrat)
TD : 4h00 TP : 4h00 Cours : 12h00 Travail personnel : 16h00 Durée totale: 20	Statut	Periode Semester 6	Langue d'enseignement : English

Objectifs Généraux
- Recall the method of modal analysis for multi-body systems - Apply modal analysis for one or two degrees of freedom system - Plot and understand a frequency response diagram for a mechanical system - Combine analytical methods and a numerical approach to solve study the vibration of a system - Check consistency of a vibration analysis applied to an industrial case

Contenu
The course resumes the basics of vibration analysis. At first the vibration analysis and its matrix formalism is presented and applied at two degrees of freedom systems. Then, damping and vibration isolation is presented. Exercises are done after each notion to put into practice formula and method introduced in the course.

Prérequis
Before taking this course, students should be able to - Derive a polynomial function of degree n, trigonometric functions and composite functions - Integrate a polynomial function of degree n, trigonometric functions and composite functions - Calculate a scalar and vector product in three dimensions - Project a three-dimensional vector - Apply Newton’s law of motion for a rigid body and a system of rigid bodies - Invert a matrix of dimension 2 or higher - Multiply matrices of dimension 2 or higher

Prérequis

Before taking this course, students should be able to
- Derive a polynomial function of degree n, trigonometric functions and composite functions
- Integrate a polynomial function of degree n, trigonometric functions and composite functions
- Calculate a scalar and vector product in three dimensions
- Project a three-dimensional vector
- Apply Newton’s law of motion for a rigid body and a system of rigid bodies
- Invert a matrix of dimension 2 or higher
- Multiply matrices of dimension 2 or higher

Bibliographie
- Pierre Agati, Yves Brémont et Gérard Delville (2003). Mécanique du Solide - Application industrielle 2° éditions : Dunod 302 p. - Serge Viala (2021) Expertise vibratoire – Course material – ECAM LaSalle. - Renaud Bertoni (2022) Vibrations – Course material – ECAM LaSalle. - Luc Gaudiller (2013) Dynamique des solides indéformables - Cours et exercices. INSA Lyon

Évaluation(s)
N°	Nature	Coefficient	Objectifs
1	Written exam	65	Student must reuse all the concepts seen in class in a final exam.
2		35	Written Report