Finite element analysis of a slender fluidstructure system
Abstract
Computational methodologies for the determination of the low frequency (beamtype) linear dynamic response of a slender fluidstructure system, consisting of an elastic pipe filled with a compressible, flowing and viscous fluid are investigated. Using one displacementtype unknown field in the fluid (a time integral of the unsteady relative massflow). A weak formulation of the equations of the problem and an appropriate finite element discretization are exhibited. Because of the flow, the matrix system may be asymmetric for some boundary conditions. A finite element computer program has been developed, which makes it possible to represent such a pipe as a frequency dependent elastoacoustic superelement: the degrees of freedom of the internal nodes are eliminated for a prescribed frequency. Numerical results are presented and compared with available data in the literature.
 Publication:

Journal of Fluids and Structures
 Pub Date:
 November 1990
 DOI:
 10.1016/08899746(90)90234V
 Bibcode:
 1990JFS.....4..631P
 Keywords:

 Compressible Fluids;
 Finite Element Method;
 FluidSolid Interactions;
 Pipe Flow;
 Structural Vibration;
 Viscous Fluids;
 Boundary Conditions;
 Computer Programs;
 Dynamic Response;
 Low Frequencies;
 Resonant Frequencies;
 Fluid Mechanics and Heat Transfer