Zur Lösung des linearisierten Knickstab-Problems mit beschränkter Ausbiegung. (Solution of the linearized buckling-rod problem with limited displacements)
type: Item
instance of: scholarly article
title: Zur Lösung des linearisierten Knickstab-Problems mit beschränkter Ausbiegung. (Solution of the linearized buckling-rod problem with limited displacements)
zbMATH Open document ID: 0633.73053
DOI: 10.4171/ZAA/258
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1987-01-01T00:00:00Z
review text: A rod under axial load with hinged ends is situated in a narrow channel which bounds the lateral displacements of the buckling rod. The global stable situation is given by Pontryagin's maximum principle. The problem is simplified by linearization allowing a complete solution.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 4031141
zbMATH Keywords: rod
zbMATH Keywords: global stability
zbMATH Keywords: limited lateral displacements
zbMATH Keywords: axial load
zbMATH Keywords: hinged ends
zbMATH Keywords: narrow channel
zbMATH Keywords: Pontryagin's maximum principle
zbMATH Keywords: linearization
author: Hoang Xuan Phu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/258
OpenAlex ID: W2562906276
Recommended article: Q3686135
Recommended article: Q3407559
Recommended article: Q4936620
Recommended article: On a method of solving problems of bending of rods and plates of piecewise-constant stiffness
Recommended article: Existence of solutions for a finite nonlinearly hyperelastic rod
Recommended article: Confined buckling of inextensible rods by convex difference algorithms
Recommended article: A remark on the theory of initial-boundary value problems for the equation of rods and beams
Recommended article: On the buckling equations for spatial rods
Recommended article: On the constraint and scaling methods to derive the equations of linearly elastic rods
Recommended article: Q5842234
description: scientific article; zbMATH DE number 4031141