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Proceedings Paper

A formula for the arc length of a superhelix
Author(s): Sungyeop Lim; Soonhung Han
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Paper Abstract

A superhelix is a helix that is coiled around another helix. Despite its importance for the deformation modeling of various shapes, superhelix has been considerably overlooked, in part because of its complexity and in part for the lack of an analytical formula for its arc length. In this study, we present an exact analytical formula for the arc length of a superhelix. The final expression is given in the form of an infinite sum.

Paper Details

Date Published: 20 April 2016
PDF: 7 pages
Proc. SPIE 9803, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2016, 980327 (20 April 2016); doi: 10.1117/12.2218714
Show Author Affiliations
Sungyeop Lim, KAIST (Korea, Republic of)
Soonhung Han, KAIST (Korea, Republic of)


Published in SPIE Proceedings Vol. 9803:
Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2016
Jerome P. Lynch, Editor(s)

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