Free And Forced Vibrations Of Shell Structures
Interacting With Liquid
Author(s)
V. Gnitko, V. Naumenko, U. Ogorodnik & E. Strelnikova
Abstract
The method for dynamic analysis of shell structures partially filled with liquid is
presented in this paper. The method relies on determining the fluid pressure from
the system of singular integral equations. The axisymmetric compound shell of
revolution is chosen as the model of capacity for liquid storage. The shell is
considered to be a thin one, and Kirghoff–Lave linear theory hypotheses are
applied. The liquid is ideal and incompressible. The coupled problem is solved
using a combination of reduced BEM and FEM. Differential equations of the
transient problem are solved numerically by the Runge-Kutta method of 4th and
5th order. Numerical simulation of free and forced vibrations of the elastic and
rigid shells filled with the incompressible fluid under different loadings has been
carried out.
Keywords: fluid-structure interaction, free and forced vibrations, boundary and
finite element methods.
1 Introduction
Different engineering areas such as aerospace and chemical industry, power
machine building, wind power engineering and transport extensively use thinwall
structural elements operated under excess process loads. Usually they are
also filled with oil, flammable or toxic liquids. Such facilities are fuel tanks,
liquid storage tanks, oil and propellant storage containers. Destruction of these
tanks by seismic action or shockwaves from a nearby explosion can lead to
environmental catastrophe. Complex experimental investigation of loading
processes is difficult and sometimes impossible for various reasons. Hence
mathematical modeling of physical processes with the help of advanced
Keywords
fluid-structure interaction, free and forced vibrations, boundary and
finite element methods.
Related Book
Other papers in this volume
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