Designing for minimum elongation
(2018) In Mathematics Magazine 91(1). p.52-61- Abstract
We reconsider the variational problem of finding the shape of a vertically hanging rope such that its elongation, due to the rope’s own weight and that of a load attached at its lower end, is minimum. The known solution is recalled and the missing proof of optimality is supplied.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/a5e212cb-ba27-44c7-88d9-9c9af637d26c
- author
- Overgaard, Niels Chr LU
- organization
- publishing date
- 2018-01-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Mathematics Magazine
- volume
- 91
- issue
- 1
- pages
- 10 pages
- publisher
- Mathematical Association of America
- external identifiers
-
- scopus:85045947492
- ISSN
- 0025-570X
- DOI
- 10.1080/0025570X.2017.1404790
- language
- English
- LU publication?
- yes
- id
- a5e212cb-ba27-44c7-88d9-9c9af637d26c
- date added to LUP
- 2018-05-04 12:32:25
- date last changed
- 2022-03-25 01:43:13
@article{a5e212cb-ba27-44c7-88d9-9c9af637d26c,
abstract = {{<p>We reconsider the variational problem of finding the shape of a vertically hanging rope such that its elongation, due to the rope’s own weight and that of a load attached at its lower end, is minimum. The known solution is recalled and the missing proof of optimality is supplied.</p>}},
author = {{Overgaard, Niels Chr}},
issn = {{0025-570X}},
language = {{eng}},
month = {{01}},
number = {{1}},
pages = {{52--61}},
publisher = {{Mathematical Association of America}},
series = {{Mathematics Magazine}},
title = {{Designing for minimum elongation}},
url = {{http://dx.doi.org/10.1080/0025570X.2017.1404790}},
doi = {{10.1080/0025570X.2017.1404790}},
volume = {{91}},
year = {{2018}},
}