Consistent Hydrodynamic Mass for Parallel Prismatic Beams in a Fluid-Filled Container

[+] Author and Article Information
J. F. Loeber

General Electric, Knolls Atomic Power Laboratory, Schenectady, N.Y. 12302

J. Pressure Vessel Technol 106(3), 270-275 (Aug 01, 1984) (6 pages) doi:10.1115/1.3264342 History: Received July 25, 1983; Revised April 03, 1984; Online November 05, 2009


In this paper, representation of the effects of incompressible fluid on the dynamic response of parallel beams in fluid-filled containers is developed using the concept of hydrodynamic mass. Using a two-step process, first the hydrodynamic mass matrix per unit (beam) length is derived using finite element methods with a thermal analogy. Second, this mass matrix is distributed in a consistent mass fashion along the beam lengths in a manner that accommodates three-dimensional beam bending plus torsion. The technique is illustrated by application to analysis of an experiment involving vibration of an array of four tubes in a fluid-filled cylinder.

Copyright © 1984 by ASME
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