Bends in the plane with variable curvature

dc.contributor.authorSheehan, Robert N.
dc.contributor.authorPeters, Frank H.
dc.contributor.funderSeventh Framework Programmeen
dc.contributor.funderEuropean Commissionen
dc.date.accessioned2017-01-23T14:29:12Z
dc.date.available2017-01-23T14:29:12Z
dc.date.issued2016-12
dc.date.updated2017-01-23T13:03:54Z
dc.description.abstractExplicit formulae for planar variable curvature bends are constructed using Euler’s method of natural equations. The bend paths are expressed in terms of special functions. It is shown that the length of the different bend types varies linearly with increasing radius and that the curvature of variable curvature bends can be expressed as a multiple of the curvature of a circle.en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationSheehan, R. N. and Peters, F. H. (2016) 'Bends in the plane with variable curvature'. Bulletin of the Irish Mathematical Society, 78, pp. 61-80.en
dc.identifier.endpage80en
dc.identifier.issn0791-5578
dc.identifier.journaltitleBulletin of the Irish Mathematical Societyen
dc.identifier.startpage61en
dc.identifier.urihttps://hdl.handle.net/10468/3502
dc.identifier.volume78en
dc.language.isoenen
dc.publisherIrish Mathematical Societyen
dc.relation.projectinfo:eu-repo/grantAgreement/EC/FP7::SP1::ICT/619806/EU/Revolutionary Advances in Photonics Integration Being Applied for Optical Communication/RAPIDOen
dc.rights© 2016 Irish Mathematical Societyen
dc.subjectPlanar curvesen
dc.subjectSpecial Functionsen
dc.subjectEuler’s methoden
dc.titleBends in the plane with variable curvatureen
dc.typeArticle (peer-reviewed)en
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
2351.pdf
Size:
979.86 KB
Format:
Adobe Portable Document Format
Description:
Published Version
License bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
license.txt
Size:
2.71 KB
Format:
Item-specific license agreed upon to submission
Description: