Apaper reports a method of converting distributed curvature measurements into a three-dimensional shape by combining elastic rod theory and differential geometry to arrive at a three-dimensional solution of the Frenet-Serret formulas. A new method of calculating the shape of a multicore fiber optic cable is presented. The method utilizes discrete strain measurements obtained in each core to create a continuous representation of fiber curvature and torsion. The Frenet-Serret equations are then solved using these representations to obtain fiber shape. Shape measurements were found to have, at most, 7.2% error. The primary source of error is most likely externally induced twisting in the fiber.

This work was done by Jason P. Moore and Matthew D. Rogge of Langley Research Center. For more information, contact This email address is being protected from spambots. You need JavaScript enabled to view it.. Refer to LAR-18097-1


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This article first appeared in the October, 2015 issue of NASA Tech Briefs Magazine.

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