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Title: A power function profile of a ski jumping in-run hill
Authors: Zanevskyy, Ihor
Заневський, Ігор
Keywords: ski jumping
ski jump
in-run hill profile
mathematical modelling
Issue Date: 2011
Citation: Zanevskyy I. A power function profile of a ski jumping in-run hill / Ihor Zanevskyy // Acta of Bioengineering and Biomechanics. - 2011. - Vol. 13, no. 4. - P. 2-10. (Scopus)
Abstract: The aim of the research was to find a function of the curvilinear segment profile which could make possible to avoid an instantaneous increasing of a curvature and to replace a circle arc segment on the in-run of a ski jump without any correction of the angles of inclination and the length of the straight-line segments. The methods of analytical geometry and trigonometry were used to calculate an optimal in-run hill profile. There were two fundamental conditions of the model: smooth borders between a curvilinear segment and straight-line segments of an in-run hill and concave of the curvilinear segment. Within the framework of this model, the problem has been solved with a reasonable precision. Four functions of a curvilinear segment profile of the in-run hill were investigated: circle arc, inclined quadratic parabola, inclined cubic parabola, and power function. The application of a power function to the in-run profile satisfies equal conditions for replacing a circle arc segment. Geometrical parameters of 38 modern ski jumps were investigated using the methods proposed.
Appears in Collections:Наукові праці професорсько-викладацького складу ЛДУФК

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