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Nonstationary fluid-structure interaction vibrations in a parallelepipedtank

  1. Elena Gavrilova*

Article first published online: 13 DEC 2004

DOI: 10.1002/pamm.200410243

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PAMM

PAMM

Volume 4, Issue 1, pages 524–525, December 2004

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How to Cite

Gavrilova, E. (2004), Nonstationary fluid-structure interaction vibrations in a parallelepipedtank. Proc. Appl. Math. Mech., 4: 524–525. doi: 10.1002/pamm.200410243

Author Information

  1. Department of Mathematics, St. Ivan Rilski University of Mining and Geology, Sofia 1700, Bulgaria

*Phone: +359 888 755 856, Fax: +359 296 253 48

Publication History

  1. Issue published online: 13 DEC 2004
  2. Article first published online: 13 DEC 2004

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Abstract

A rigid rectangular parallelepiped tank is filled with a compressible and inviscid fluid as a part of one of its walls is a thin linearly elastic rectangular plate. The problem about the determination of the nonstationary vibrations of the received fluidstructure interaction system is considered. The Laplace transforms, the method of Bubnov-Galerkin and the method of the crossed strips of G. Warburton are amalgamated to create some fast convergent method to investigate the dynamic behavior of the fluid-structure interaction system under consideration in the cases of arbitrary supporting conditions of the plate. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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