Vibrations et acoustiqueMéthodes numériques et expérimentales (GSI)

• Understanding the free and forced vibrations of a thin plate,
• Understanding the acoustics of a cavity,
• Understanding fluid-structure interactions,
• To initiate the radiation of vibrating structures,
• Deepen the concept of own modes,
• Understanding the matrix representation of a vibrator-acoustic problem,
• Use numerical and analytical methods to solve vibro-acoustic problems.

The course includes an analytical component and a digital component. In the analytical section will be studied:

• The clean modes and the harmonic forced response (by modal superposition) of a rectangular slim vibrating plate,
• The clean modes and the harmonic forced response (by modal superposition) of a parallelepipedic acoustic cavity,
• The harmonic forced response of the coupled vibrating plate – acoustic cavity,
• The sound pressure in the far field due to vibrations of a baffled plate. Digital applications will be made under MATLAB/Octave In the numerical part will be studied by the finite element method (coded under MATLAB/Octave):
• The forced response harmonic or not of a vibrating plate,
• The forced response harmonic or not of an acoustic cavity,
• The forced response harmonic or not of the coupled system plate – cavity. Comparisons can be made between numerical and analytical approaches.

The evaluation can be carried out on the basis of a mini-support, allowing the student the possibility to freely restore his/her understanding of the course, or to deepen a specific point.

1. Mr. Bruneau, Basic Acoustics Manual, Hermes, 1998
2. H. J.-P. Morand, R. Ohayon, Fluid-structure interactions, Masson, 1992
3. R. Ohayon, C. Soize, Structural Acoustics and Vibration, Academic press, 1998
4. C. Lesueur and. al, Acoustic radiation of structures, Eyrolles, 1988
5. Mr. Géradin and D. Rixen (1994), Mechanical Vibrations: Theory and Application to Structural Dynamics, Paris, Wiley.