A calculation model for transforming a cylindrical pipe wound on a deformable mandrel into a curvilinear branch whose shape corresponds to the section of a circular torus is presented. The conditions of inextensible filaments and invariable twist angle are considered. Formulas for changing the winding angles on the branch, relations for determining the parameters of a billet and the branch, and limitations on the choice of winding angles for the billet are found.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 45, No. 4, pp. 497–506, July–August, 2009.
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Mitkevich, A.B. Geometric relations for transforming a helically wound cylindrical pipe into a curvilinear branch. Mech Compos Mater 45, 337–344 (2009). https://doi.org/10.1007/s11029-009-9095-4
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DOI: https://doi.org/10.1007/s11029-009-9095-4