Journal of Mathematics and Statistics

Dynamics Modelling of a Plate Vibrating in a Perfect Fluid

Bouarroudj Nadra and Belaib Lekhmissi

DOI : 10.3844/jmssp.2007.83.87

Journal of Mathematics and Statistics

Volume 3, Issue 3

Pages 83-87


We deal with the interaction problem of a plate vibrating within a perfect fluid. We establish the equations describing the dynamics behaviour of the plate using the general equations of the elasto-dynamic. The fluid flow described by the equation of Euler’s low amplitude. We presented results of the existence, the unicity and the regularity of the problem verified by the plate as well as by the fluid We used the integral equations for the numerical resolution of the problem that allowed us to determine the coupling term between the fluid and the plate. The numerical results were obtained using finite element method coupled with an implicit diagram in time.


© 2007 Bouarroudj Nadra and Belaib Lekhmissi. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.