Vibration and stability of an elastic column subject to a generalized load
type: Item
instance of: scholarly article
title: Vibration and stability of an elastic column subject to a generalized load
zbMATH Open document ID: 0885.73019
DOI: 10.1007/BF00787144
author: L. Tomski
author: M. Gołȩbiowska-Rozanow
author: Jacek Przybylski
author: Janusz Szmidla
published in: Archive of Applied Mechanics
publication date: 1998-04-23T00:00:00Z
review text: The critical load for the divergence instability, eigenfrequency curves, and the Rayleigh's quotient are determined for a column with one clamped end, subject to a generalized load. In particular, it has been found that the way in which the external force can be applied results in the linear dependence of both the shearing force and the bending moment on both the deflection and the deflection angle of the loaded end. Furthermore, we show theoretically and experimentally that the slope of some eigencurves can change from positive to negative with the increasing load value.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 1066910
zbMATH Keywords: slope of eigencurve
zbMATH Keywords: critical load
zbMATH Keywords: divergence instability
zbMATH Keywords: eigenfrequency curves
zbMATH Keywords: Rayleigh's quotient
zbMATH Keywords: clamped end
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1066910