On the stability of a Timoshenko beam on an elastic foundation under a moving spring-mass system
type: Item
instance of: scholarly article
title: On the stability of a Timoshenko beam on an elastic foundation under a moving spring-mass system
zbMATH Open document ID: 0588.73091
DOI: 10.1007/BF01176367
author: B. George
published in: Acta Mechanica
publication date: 1986-01-01T00:00:00Z
review text: The stability problem of densely distributed oscillators moving along a Timoshenko beam on an elastic foundation is considered. The forward speed of the moving subsystem is assumed to be constant. The friction at the contact line between the beam and the oscillator set is neglected. A qualitatively new instability region is found. It is pointed out that the critical velocity for some system parameters takes smaller values than the velocity of shear waves or the velocity of longitudinal waves.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 3945496
zbMATH Keywords: densely distributed oscillators
zbMATH Keywords: Timoshenko beam
zbMATH Keywords: elastic foundation
zbMATH Keywords: instability region
zbMATH Keywords: critical velocity
MaRDI profile type: Publication
cites work: Dynamic Stability of a Beam Carrying Moving Masses
cites work: Q5550989
cites work: Q5721967
description: scientific article; zbMATH DE number 3945496