Vibrations of rod systems of variable cross-section with nonlinear elasticity law
type: Item
instance of: scholarly article
zbMATH Open document ID: 1054.74616
author: Anatolij Barvins'kyj
author: Vladyslav Gontar
publication date: 2001-12-12T00:00:00Z
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74H10
zbMATH DE Number: 1681817
zbMATH Keywords: elastic rod
zbMATH Keywords: variable cross-section
zbMATH Keywords: method of small parameter
zbMATH Keywords: non-perturbed equation
MaRDI profile type: Publication
title: Vibrations of rod systems of variable cross-section with nonlinear elasticity law
published in: Visnyk L'vivs'kogo Universytetu. Seriya Mekhaniko-Matematychna
review text: Forced flexural vibrations of the rod are governed by a fourth-order partial differential equation. In construction of solution the method of small parameter is used. For analysis of influence of approximations for non-perturbed equation a class of rods with variable cross-section for which the zero-order differential equation is integrable is considered. These are rods with linearly varying cross-section supported by hinge joints. The original equation is reduced to a system of differential equations whose solution is found numerically.
description: scientific article; zbMATH DE number 1681817