Statics of shallow inclined elastic cables under general vertical loads: a perturbation approach
type: Item
instance of: scholarly article
title: Statics of shallow inclined elastic cables under general vertical loads: a perturbation approach
zbMATH Open document ID: 1458.74102
author: A. Luongo
author: Daniele Zulli
published in: Mathematics
publication date: 2018-08-13T00:00:00Z
review text: Summary: The static problem for elastic shallow cables suspended at points at different levels under general vertical loads is addressed. The cases of both suspended and taut cables are considered. The funicular equation and the compatibility condition, well known in literature, are here shortly re-derived, and the commonly accepted simplified hypotheses are recalled. Furthermore, with the aim of obtaining simple asymptotic expressions with a desired degree of accuracy, a perturbation method is designed, using the taut string solution as the generator system. The method is able to solve the static problem for any distributions of vertical loads and shows that the usual, simplified analysis is just the first step of the perturbation procedure proposed here.
Mathematics Subject Classification ID: 74K99
Mathematics Subject Classification ID: 74G10
zbMATH DE Number: 6916898
zbMATH Keywords: elastic catenary
zbMATH Keywords: funicular equation
zbMATH Keywords: compatibility condition
zbMATH Keywords: asymptotic solution
MaRDI profile type: Publication
full work available at URL: math6020024
OpenAlex ID: W2792940438
cites work: Q4743851
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DOI: 10.3390/MATH6020024
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description: scientific article; zbMATH DE number 6916898