The curvature of plane elastic curves
By: by Guido Brunnett
Contributors: Naval Postgraduate School (U.S.). Dept. of Mathematics
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1993
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Number of pages: 15
Subjects: ELASTIC PROPERTIES; CURVATURE
Other titles: NPS-MA-93-013.
Description: In 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.... Elastic curves,      Curvature analysis.
Notes: Title from cover.

"NPS-MA-93-013."

"Technical rpeort for period January 1993 - March 1993."

AD A263 198.

Includes bibliographical references (p. 14-15)

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