A finite element solution of an added mass formulation for coupled fluid-solid vibrations |
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Authors: | Alfredo Bermúdez Rodolfo Rodríguez Duarte Santamarina |
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Institution: | (1) Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, 15706 Santiago de Compostela, Spain, ES;(2) Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile, CL |
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Abstract: | Summary. A finite element method to approximate the vibration modes of a structure in contact with an incompressible fluid is analyzed
in this paper. The effect of the fluid is taken into account by means of an added mass formulation, which is one of the most
usual procedures in engineering practice. Gravity waves on the free surface of the liquid are also considered in the model.
Piecewise linear continuous elements are used to discretize the solid displacements, the variables to compute the added mass
terms and the vertical displacement of the free surface, yielding a non conforming method for the spectral coupled problem.
Error estimates are settled for approximate eigenfunctions and eigenfrequencies. Implementation issues are discussed and numerical
experiments are reported. In particular the method is compared with other numerical scheme, based on a pure displacement formulation,
which has been recently analyzed.
Received August 31, 1998 / Published online July 12, 2000 |
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Keywords: | Mathematics Subject Classification (1991): 65N30 65N25 73K70 76B15 |
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