Statics of Shallow Inclined Elastic Cables under General Vertical Loads: A Perturbation Approach

Angelo Luongo and Daniele Zulli
Additional contact information
Angelo Luongo: International Center for Mathematics & Mechanics of Complex Systems, M&MoCS, University of L’Aquila, 67040 Monteluco di Roio (AQ), Italy
Daniele Zulli: International Center for Mathematics & Mechanics of Complex Systems, M&MoCS, University of L’Aquila, 67040 Monteluco di Roio (AQ), Italy

Mathematics, 2018, vol. 6, issue 2, 1-18

Abstract: 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.

Keywords: inclined cable; statics; perturbation method; elastic catenary (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/6/2/24/pdf (application/pdf)
https://www.mdpi.com/2227-7390/6/2/24/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:6:y:2018:i:2:p:24-:d:131812

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().