Research Article Open Access

Dynamics Modelling of a Plate Vibrating in a Perfect Fluid

Bouarroudj Nadra and Belaib Lekhmissi

Abstract

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.

Journal of Mathematics and Statistics
Volume 3 No. 3, 2007, 83-87

DOI: https://doi.org/10.3844/jmssp.2007.83.87

Published On: 30 September 2007

How to Cite: Nadra, B. & Lekhmissi, B. (2007). Dynamics Modelling of a Plate Vibrating in a Perfect Fluid. Journal of Mathematics and Statistics, 3(3), 83-87. https://doi.org/10.3844/jmssp.2007.83.87

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Keywords

  • Interaction
  • regularity
  • differential equations
  • dynamics
  • finite element method
  • implicit diagram
  • integral equation
  • perfect fluid