Oscillations of a prismatic rod
type: Item
instance of: scholarly article
zbMATH Open document ID: 1054.74624
author: V. N. Tishchenko
publication date: 2001-12-12T00:00:00Z
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74J05
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 1681766
zbMATH Keywords: prismatic rod
zbMATH Keywords: beam
zbMATH Keywords: longitudinal vibrations
zbMATH Keywords: bending vibrations
zbMATH Keywords: cantilever beam
MaRDI profile type: Publication
title: Oscillations of a prismatic rod
published in: Dinamicheskie Sistemy (Simferopol')
review text: A new version of equations for the longitudinal and transverse vibrations of a prismatic bar are obtained. The difference is not only in appearing some additional terms in equations of motion of such a kind as in Timoshenko theory but in the refinement of the boundary conditions and the beam rigidity under the transverse vibrations. Vibrations of the vertical cantilever beam under the horizontal motion of the base from the rest are considered. The results obtained are compared with solutions of the classical theory of bending vibrations of beams.
description: scientific article; zbMATH DE number 1681766