Action of a uniformly variable moving force on a Timoshenko beam on an elastic foundation. Transitions through the critical velocities
type: Item
instance of: scholarly article
title: Action of a uniformly variable moving force on a Timoshenko beam on an elastic foundation. Transitions through the critical velocities
zbMATH Open document ID: 0688.73025
DOI: 10.1016/0021-8928(87)90115-8
published in: Journal of Applied Mathematics and Mechanics
publication date: 1987-01-01T00:00:00Z
review text: The vibration of an infinite Timoshenko-type beam on an elastic foundation subjected to a force whose point of application moves over the beam with constant acceleration is considered. Resonance effects associated with the transition of the velocity of motion of the load through three critical values characteristic for the system being considered are studied. Asymptotic representations are constructed for the solution of the problem corresponding to the load acceleration approaching zero.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 45M05
zbMATH DE Number: 4128486
zbMATH Keywords: infinite Timoshenko-type beam
zbMATH Keywords: Resonance effects
zbMATH Keywords: Asymptotic representations
author: J. D. Kaplunov
author: G. B. Muravskii
MaRDI profile type: Publication
full work available at URL: 0021-8928(87)90115-8
OpenAlex ID: W1985652445
cites work: Transient resonance of an ideal string under a load moving with varying speed
cites work: On simplified solutions of contact problems for elastic foundations
cites work: Q3661894
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description: scientific article; zbMATH DE number 4128486