Hydroelastic Vibration Of A Rectangular
Perforated Plate With A Simply Supported
Boundary Condition
Author(s)
K.-H. Jeong, G.-M. Lee, T.-W. Kim & J.-I. Kim
Abstract
A theoretical study on the natural frequencies and the mode shapes of a
perforated plate in contact with an ideal liquid is presented. In the theory, it is
assumed that the plate is simply supported along the edges and the liquid is in
contact with the lower surface of the plate. The identical square holes in the plate
with a square array are considered. A compatibility requirement on the contact
surface between the plate and the liquid is applied for the liquid–structure
interaction and the Rayleigh–Ritz method is used to calculate the eigenvalues of
the system. The proposed theoretical method for the plate coupled with the liquid
is verified by observing a good agreement with the three-dimensional finite
element analysis result.
Keywords: hydroelastic vibration, perforated plate, liquid–contacting, Rayleigh–
Ritz method, fluid-structure interaction, natural frequency, rectangular holes.
1 Introduction
The perforated plates with a number of holes are used in the commercial nuclear
power plants. However, it is very difficult to estimate dynamic characteristics of
such a perforated plate. Moreover, the dynamic behavior of the plates in contact
with a fluid is very complicated due to the fluid–structure interaction. The
powerful numerical tools such as FEM (finite element method) or BEM
(boundary element method) make approximate solutions to a simple fluid–
structure interaction problem possible. However the use of these methods in the
perforated structures requires enormous amounts of time for modeling and
computation. The previous study [1] on the perforated plates focused on the
Keywords
hydroelastic vibration, perforated plate, liquid–contacting, Rayleigh–
Ritz method, fluid-structure interaction, natural frequency, rectangular holes.
Related Book
Other papers in this volume
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