A formula for the arc length of a superhelix

Sungyeop Lim; Soonhung Han

doi:10.1117/12.2218714

20 April 2016 A formula for the arc length of a superhelix

Sungyeop Lim, Soonhung Han

Proceedings Volume 9803, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2016; 980327 (2016) https://doi.org/10.1117/12.2218714
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2016, Las Vegas, Nevada, United States

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.

Conference Presentation

Citation Download Citation

Sungyeop Lim and Soonhung Han "A formula for the arc length of a superhelix", Proc. SPIE 9803, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2016, 980327 (20 April 2016); https://doi.org/10.1117/12.2218714

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available