A power function profile of a ski jumping in-run hill

• Autorzy: Zanevskyy I.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

ski jumping; ski jump; in-run hill profile; mathematical modelling

PL

skoki narciarskie; skocznia; profil wzgórza; modelowanie matematyczne

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Acta of Bioengineering and Biomechanics
• Rocznik: 2011
• Tom: Vol. 13, no. 4
• Strony: 3--10
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Zanevskyy I.

• Casimir Pulaski Technical University, Radom, Department of Physical and Health Education,

Bibliografia

• [1] BANAKH V., ZANEVSKYY I., The profile of the in-run hill and conditions of take off in ski jumping from a trampoline. A comparative analysis of the in run hill profiles, (in Ukrainian), Sport Science of Ukraine, 2010, 1–24.
• [2] Certificate of jumping hill (Bischofshofen) No. 5/AUT 5. International Ski Federation. 2003 (http://www.skisprungschanzen.com/e_index.htm?/e_profile.htm).
• [3] ETTEMA G.J., BRATEN S., BOBBERT M.F., Dynamics of the in run in ski jumping: A simulation study, Journal of Applied Biomechanics, 2005, 3, 247–259.
• [4] FILIPOWSKA R., Optimization of ski jumping in run profile, Czasopismo Techniczne. Mechanika, Wydawnictwo Politechniki Krakowskiej, 2008, Z. 3-M, 57–64.
• [5] GASSER Н., Skisprungschanzen Bau-Normen (Ausführungsbestimmungen zu Art. 411 der IWO Band) Іnternationaler ski verband, 2008 (http://www.fis-ski.com/data/document/skisprungschanzen_bau-normen2008.pdf).
• [6] International ski competition rules. Ski jumping. International Ski Federation. 2008 (http://www.fis-ski.com/data/document/icr_jp_2008.pdf).
• [7] NEUFERT E., Bauentwurfslehre, Vieweg Verlag, 2004.
• [8] PALEJ R., FILIPOWSKA R., Mathematical modelling of the in run profile of a ski jumping hill with the controlled track reaction force, Journal of Theoretical and Applied Mechanics, 2009, 47, 1, 229–242.
• [9] PALEJ R., STRUK R., The inrun profile of a ski jumping hill with lowered normal reaction of the track (in Polish), Czasopismo Techniczne. Mechanika, Wydawnictwo Politechniki Krakowskiej, 2003, Z. 6-M, 127–136.
• [10] PALEJ R., STRUK R., Optimization of ski jumping inrun profile (in Polish), Czasopismo Techniczne. Mechanika, Wydawnictwo Politechniki Krakowskiej, 2004, Z. 5-M, 363–370.
• [11] The new Olympiaschanze of Garmisch-Partenkirchen at the rising of the in run tower. 2007 (www.skisprungschanzen.com/ger/gere_garmisch-s.htm).
• [12] ZANEVSKYY I., BANAKH V., Dependence of ski jump length on the skier’s body pose at the beginning of take-off, Acta of Bioengineering and Biomechanics, 2010, 12, 77–85.