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## Acta of Bioengineering and Biomechanics

Tytuł artykułu

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

Autorzy Zanevskyy, I.
Treść / Zawartość http://www.actabio.pwr.wroc.pl/acta.php
Warianty tytułu
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
 PL skoki narciarskie   skocznia   profil wzgórza   modelowanie matematyczne EN ski jumping   ski jump   in-run hill profile   mathematical modelling
Wydawca Oficyna Wydawnicza Politechniki Wrocławskiej
Czasopismo Acta of Bioengineering and Biomechanics
Rocznik 2011
Tom Vol. 13, nr 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, izanevsky@onet.eu
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.
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