Ense3 rubrique Formation 2022

Mechanical vibrations - 3EUAVSM8

  • Number of hours

    • Lectures 14.0
    • Projects -
    • Tutorials 14.0
    • Internship -
    • Laboratory works 22.0


    ECTS 3.0


Provide basic notions required for the mechanical design of rotating machines for energy production.

Introduction to the theory of vibrations:

  • Obtain and solve the equations of motion in simple cases and for small (linear) oscillations around equilibrium
  • Understand the concepts of eigenfrequencies and eigenmodes
  • Obtain eigenmodes and eigenfrequencies of discrete systems with n degrees of freedom


Barthelemy HARTHONG


1- One efficient method for solving the equations of motion (20h)
Description of the motion of a mechanical system using generalised coordinates
Equations of motion (energy method)
Linearisation of the equations of motion
Free and forced oscillations of a one-degree-of-freedom system
Eigenfrequencies, eigenmodes
Vibration of systems with several degrees of freedom
2- numerical intégration of the equations of motion (8h + 22h practicals)
Deriving eigenfrequencies and eigenmodes for n-DOFs systems
Programming with python


Basics of mathematics - differential equations, Taylor series, linear algebra


2h exam (DS) + assignment (CC)

CC 1/3 + CT 2/3


The course exists in the following branches:

  • Curriculum - Master of Engineering GEE - Semester 5-6
see the course schedule for 2023-2024

Additional Information

Course ID : 3EUAVSM8
Course language(s): FR

You can find this course among all other courses.


Seto, Mechanical Vibrations, Schaum's outline series, McGraw Hill, 1964
Landau, Lifchitz, Mécanique, Editions Mir 1966
Lalanne, Berthier, Der Hagopian, Mécanique des vibrations linéaires, Masson, 1986