Show simple item record

dc.contributor.authorBrunnett, Guido
dc.date1993
dc.date.accessioned2013-02-27T23:23:04Z
dc.date.available2013-02-27T23:23:04Z
dc.date.issued1993
dc.identifier.urihttp://hdl.handle.net/10945/28706
dc.descriptionApproved for public release; distribution is unlimited.en_US
dc.description.abstractIn this paper plane elastic curves are revisited from a viewpoint that emphasizes curvature properties of these curves. The family of elastic curves is considered in dependence of a tension parameter Sigma and the squared global curvature maximum K2/m. It is shown that for any elastic curve K2/m is bigger than the tension parameter Sigma. A curvature analysis of the fundamental forms of the elastic curves is presented. A formula is established that gives the maximum turning angle of an elastica as a function depending on K2/m and Sigma. Finally, it is shown that an elastic curve can be represented as a linear combination of its curvature, arc length and energy function and that any curve with this property is an elastic.en_US
dc.description.urihttp://archive.org/details/curvatureofplane00brun
dc.format.extent15 p. : ill. ; 28 cm.en_US
dc.language.isoen_US
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, may not be copyrighted.en_US
dc.subject.lcshCURVATUREen_US
dc.titleThe curvature of plane elastic curvesen_US
dc.typeReporten_US
dc.contributor.corporateNaval Postgraduate School (U.S.)
dc.contributor.departmentMathematicsen_US
dc.subject.authorElastic curvesen_US
dc.subject.authorCurvature analysisen_US
dc.identifier.oclcocn640487924
dc.identifier.npsreportNPS-MA-93-013


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record