Eigen oscillations of the elastic bottom of a cylindrical vessel and liquid with a free surface
type: Item
instance of: scholarly article
zbMATH Open document ID: 1249.70012
author: A. Yu. Karnauch
author: N. K. Didok
publication date: 2012-07-31T00:00:00Z
Mathematics Subject Classification ID: 70E18
zbMATH DE Number: 6062269
zbMATH Keywords: hydroelasticity
zbMATH Keywords: eigen oscillations
zbMATH Keywords: liquid
zbMATH Keywords: frequency equation
zbMATH Keywords: eigen forms
MaRDI profile type: Publication
title: Eigen oscillations of the elastic bottom of a cylindrical vessel and liquid with a free surface
published in: Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki
review text: The object of research is the cylindrical vessel of arbitrary cross section with a rigid lateral surface and a flat elastic bottom. The vessel is filled by an ideal incompressible liquid. The problem of the joint fluctuations of the flat bottom and the fluid is solved in a linear formulation. Bottom of the vessel and the liquid is considered to be of attached, and motion of a liquid is invortial. The condition of solvability of the system is satisfied. General solution is obtained, the frequency equations and their own forms of joint oscillations were found. This allows us to consider a more important problem of forced vibrations of mechanical systems.
description: scientific article; zbMATH DE number 6062269