Formation ECAM LaSalle Ingénieur spécialité Mécanique et Génie Electrique (ENGINEERING PROGRAM)
General Data
Academic program Formation ECAM LaSalle Ingénieur spécialité Mécanique et Génie Electrique (ENGINEERING PROGRAM) :
Type d'EC Classes (LIIEEng06EVibrat)
Lectures : 12h00
Tutorials : 4h00
Lab Work : 4h00
Total duration : 51h00 		Status :
Period :
Semester 6		 Education language :
English
Learning Outcomes
- 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
Content
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.
Pre-requisites / co-requisites
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
Bibliography
- 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
Assessment(s)
N° Nature Coefficient Observable objectives
1Student must reuse all the concepts seen in class in a final exam.65Written exam
2Written Report35