Helical-One, Two, Three-Revolutional Cyclical Surfaces
cyclical surface, helix, frenet-serret moving trihedron, transformation matrices
Abstract
This paper describes method for modelling of helical-n-revolutional cyclical surfaces. The axis of the cyclical surface 1 Φ is the helix s1 created by revolving the point about n each other revolving axes on (n = 1,2,3), that move together with Frenet-Serret moving trihedron along the cylindrical helix s. Particular evolutions are determined by its angular velocity and orientation. The moving circle along the helix s or s1, where its center lies on the helix and circle lies in the normal plane of the helix creates the cyclical surface.
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References
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Published
2013-03-29
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