A computational investigation of vibration of stationary and rotating structures submerged in a liquid
Date issued
2008
Journal Title
Journal ISSN
Volume Title
Publisher
University of West Bohemia
Abstract
To realize some technological processes components of a number of stationary and rotating machines work submerged
in various liquids. Therefore their vibration is significantly influenced by their interaction with the medium
in the surrounding space. An important tool for investigation of their behavior is a computer modelling method. In
the computational models it is assumed that the vessel and the submerged bodies are absolutely rigid, the liquid is
perfect and incompressible, amplitude of the vibration is small, and the flow and the oscillations are 2D. On these
assumptions the pressure distribution in the liquid is described by a Laplace equation. For its solution a finite element
or a finite difference methods can be used. The region filled with the liquid is, in general, of irregular shape.
To describe its geometry or to perform its discretization the B´ezier surfaces can be utilized. In the cases when
the region filled with the liquid changes its boundaries there is a possibility to transform solution of the governing
equation from the primary region into the unit square domain making use of the dimensionless coordinates. The
advantage is that this approach does not require to change the discretization even if the primary region changes its
shape. On the other hand the form of the transformed equation is more complicated than the form of the original
one.
Description
Subject(s)
rotační systémy, vibrodiagnostika, konstrukce, počítačová simulace, výpočetní metody ve fyzice, kmitání
Citation
Applied and Computational Mechanics. 2008, vol. 2, no. 1, p. 177-186.