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2021 | OriginalPaper | Chapter

8. “Kappa” and “Kieroid” Curves Resulted as Loci

Authors : Iulian Popescu, Xenia Calbureanu, Alina Duta

Published in: Problems of Locus Solved by Mechanisms Theory

Publisher: Springer International Publishing

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Abstract

A crooked line with an angle of 90°, has one end that goes on the abscissa, and the other rotates around the origin of the system and slides through that point. The trajectory of points B and D on the bent line is required. The result is the “Kappa” curve, in several variants depending on the length of the long arm of the bent line. Next we also start from a crooked line but with the bending angle of different values, resulting in a parallelogram and generating curves similar to the “Kappa” curve but with deformed branches. Successive positions are also given, which have the shapes of curves. We study also the “Kieroid” curve obtained when EC line has the ends moving on two fixed lines parallel to the ordinate. Point E is also in rotation around B moving on the conducting element AC. The trajectories of B and D are required, i.e. the “Kieroid” curve, which has two branches, one drawn by D and the other by B. By changing the distance between the fixed vertical lines, other curves result, some of the same kind, others different.

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Metadata
Title
“Kappa” and “Kieroid” Curves Resulted as Loci
Authors
Iulian Popescu
Xenia Calbureanu
Alina Duta
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-63079-9_8

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