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FINITE ELEMENT SOLUTION OF INCOMPRESSIBLE FLUID–STRUCTURE VIBRATION PROBLEMS

✍ Scribed by ALFREDO BERMÚDEZ; RICARDO DURÁN; RODOLFO RODRÍGUEZ

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
283 KB
Volume
40
Category
Article
ISSN
0029-5981

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✦ Synopsis

In this paper we solve an eigenvalue problem arising from the computation of the vibrations of a coupled system, incompressible uid -elastic structure, in absence of external forces. We use displacement variables for both the solid and the uid but the uid displacements are written as curls of a stream function. Classical linear triangular ÿnite elements are used for the solid displacements and for the stream function in the uid. The kinematic transmission conditions at the uid-solid interface are taken into account in a weak sense by means of a Lagrange multiplier. The method does not present spurious or circulation modes for non-zero frequencies. Numerical results are given for some test cases.

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