Abstract
Ski jumping is an exciting and primarily competitive sport involving both ballistic and aerodynamic factors. The ballistic factors are release velocity and release position of a ski jumper from the take-off table, whereas aerodynamic factors include the gliding properties of the jumper/ski system (velocity, suit design, surface area, posture of the jumper/ski system, resisting and lifting forces). Both ballistic and aerodynamic factors place special demands on the jumper so that he/she can, for example, optimally maximize the vertical lift and minimize the drag forces. Ski jumping has attracted spectators 200 years and it has undergone several notable steps in the development of performance technique and equipment. This chapter does not try to provide any complete examination of prior work in this area, but some well-known studies and surveys/reviews will be given.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
R. Straumann, Vom Skiweitsprung und seiner Mechanik, in Jahrbuch des Schweize-rischen Ski Verbandes (Selbstverlag des SSV, Bern, 1927), pp. 34–64
R. Straumann, Vom Skisprung zum Skiflieg. Sport, Zürich 63, 7–8 (1955)
H. König, Theorie des Skispringens angewandt auf die Flugschanze in Oberstdorf, in Uhrentechnische Forschung (Steinkopf Verlag, Stuttgart, 1952), pp. 235–253
I. Tani, M. Iuchi, Flight mechanical investigation of ski jumping, in Scientific Study of Skiing in Japan, Tokyo, Hitachi, ed. by K. Kinoshita, Hitachi, Tokyo (1971), pp. 35–52
E.A. Grozin, Ski-jumping (in Russian), (Phyzcultura i sport, Moscow, 1971)
L.P. Remizov, Biomechanics of optimal flight in ski-jumping. J. Biomech. 17(3), 167–171 (1984)
L.S. Pontryagin et al., Mathematical Theory of Optimal Process (Wiley Inter-science, New York/London, 1962)
A. Jung, M. Staat, W. Müller, Flight style optimization in ski jumping on normal, large, and ski flying hills. J. Biomech. 47(3), 716–722 (2014)
J. Denoth, S.M. Luethi, H. Gasser, Methodological problems in optimisation of the flight phase in ski jumping. Int. J. Sport Biomech. 3, 404–418 (1987)
J. Maryniak, B. Krasnowski, Balance and longitudinal stability of a ski jumper in flight [in Polish]. Mechanika Teoretyczna i Stosowana 2(3), 351–373 (1974)
M. Hubbard et al., A multisegment dynamic model of ski jumping. Int. J. Sport Biomech. 5, 258–274 (1989)
E. Pfaff, Interview mit Toni Innauer, Trainerforum. Leistunsport 6, 34–38 (2008)
R. Meier, Skifliegen -Schanzenbau (Diplomarbeit in Biomechanik, ETH, Zürich, 1977)
J. Maryniak, E. Ladyzyńska-Kozdraś, S. Tomczak, Configurations of the Graf-Boklev (v-style) ski jumper model and aerodynamic parameters in a wind tunnel. Hum. Mov. 10(2), 130–136 (2009)
R. Mahnke, G. Hochmuth, Neue Erkenntnisse zur Luftkraftwirkung beim Ski-springen. Research Report for Forschungsinstitut für Körperkultur und Sport, Leipzig (1990)
D.A. Cutter. Nordic Ski Jumping Aerodynamics (AIAA, Aeronautical Engineering, United States Air Force Academy, Colorado Springs, CO, 1993)
K. Watanabe, I. Watanabe, Aerodynamics of ski-jumping: effect of ‘Vstyle’ to distance, in XIVth Congress of the International Society of Biomechanics (1993), pp. 1452–1453
M. Tavernier, P. Cosserat, Flight simulation of ski-jumping comparison of two styles of flight, in Proceedings of the 14th Congress of ISB Congress (Paris, 1993), pp. 1328–1329
B. Jošt, Differences in some kinematic flight parameters between the classical and the new so called “V” technique in ski jumping. Kinesiology 26(1–2), 18–21 (1994)
H. Schwameder, E. Müller, Biomechanische Besreibung und Analyse der V-Technik im Skispringen. Spectrum der Sportwissenschaften 7, 5–36 (1995)
H. Jin et al., Desirable gliding styles and techniques in ski jumping. J. Appl. Biomech. 11, 460–474 (1995)
W. Müller, D. Platzer, B. Schmölzer, Dynamics of human flight on skis: improvements in safety and fairness in ski jumping. J. Biomech. 29(8), 1061–1068 (1996)
K. Seo, I. Watanabe, M. Murakami, Aerodynamic force data for a V-style ski jumping flight. Sports Eng. 7, 31–39 (2004)
K. Seo, M. Murakami, K. Yoshida, Optimal flight technique for V-style ski jumping. Sports Eng.7, 97–104 (2004)
W. Meile et al., Aerodynamics of ski jumping: experiments and CFD simulations. Exp. Fluids 41, 949–964 (2006)
H. Nørstrud, I.J. Øye, On CFD simulation of ski jumping, in Computational Fluid Dynamics for Sport Simulation, ed. by M. Peters. Lecture Notes in Computational Science and Engineering, vol. 72 (Springer, Berlin/Heidelberg, 2009), pp. 63–82
K.-D. Lee, M.-J. Park, K.-Y. Kim, Optimization of ski jumper’s posture considering lift-to-drag ratio and stability. J. Biomech. 45(12), 2125–2132 (2012)
B. Venås, I. Øye, Integrated wind shielding for the new Holmenkollen ski jump, in The Fifth International Symposium on Computational Wind Engineering (CWE2010), Chapel Hill, NC, 23–27 May 2010
M. Hubbard, The flight of sports projectiles, in Biomechanics in Sport, ed. by V. Zatsiorsky (Blackwell Science Ltd, Oxford, UK, 2008), pp. 381–400
P.G. Wright, The influence of aerodynamics on the design of formula one racing cars. Int. J. Veh. Des. 3(4), 383–397 (1982)
M. Virmavirta, J. Kivekäs, The effect of wind on jumping distance in ski jumping – fairness assessed. Sport Biomech. 11(3), 358–369 (2012)
H. Schwameder, Biomechanics research in ski jumping, 1991–2006. Sport Biomech. 7(1), 114–136 (2008)
M. Virmavirta, J. Kivekäs, P.V. Komi, Take-off aerodynamics in ski jumping. J. Biomech. 34, 465–470 (2001)
H. Nørstrud, Alpine downhill and speed-skiing. Sport Aerodyn. 506, 131–138 (2008)
B.E. Thompson, W.A. Friess, K.N. Knapp II, Aerodynamics of speed skiers. Sports Eng. 4, 103–112 (2001)
G.J.C. Ettema, S. Bräten, M.F. Bobbert, Dynamics of the in-run in ski jumping: a simulation study. J. Appl. Biomech. 21, 247–259 (2005)
M. Virmavirta, J. Kivekäs, P.V. Komi, Ski jumping take-off in a wind tunnel with skis. J. Appl. Biomech. 27(4) 375–379 (2011)
W. Müller, Performance factors in ski jumping, in Sport Aerodynamics, ed. by H. Nørstrud. CISM International Centre for Mechanical Sciences, vol. 506 (Springer, Vienna, 2008), pp. 139–160
M. Virmavirta, P.V. Komi, Measurements of the take-off forces in ski-jumping. Part I and II. Scand. J. Med. Sci. Sports 3, 229–243 (1993)
M. Murakami et al., Ski jumping flight skill analysis based on high-speed video image. Procedia Eng. 2, 2381–2386 (2010)
M. Virmavirta et al., Characteristics of the early flight phase in the Olympic ski jumping competition. J. Biomech. 38, 2157–2163 (2005)
B. Schmölzer, W. Müller, The importance of being light: aerodynamic forces and weight in ski jumping. J. Biomech. 35, 1059–1069 (2002)
R. Uhlář, M. Janura, Pontryagin’s maximum principle and optimization of the flight phase in ski jumping. Acta Univ. Palacki. Olomuc. Gymnica 39, 61–68 (2009)
W. Müller, D. Platzer, B. Schmölzer, Scientific approach to ski safety. Nature 375, 455 (1995)
B. Schmölzer, W. Müller, Individual flight styles in ski jumping: results obtained during Olympic games competitions. J. Biomech. 38, 1055–1065 (2005)
J. Chardonnens et al., Measurement of the dynamics in ski jumping using a wearable inertial sensor-based system. J. Sports Sci. 32(6), 591–600 (2014)
W. Müller, Towards research-based approaches for solving body composition problems in sports: ski jumping as a heuristic example. Br. J. Sports Med. 43, 1013–1019 (2009)
P. Marqués-Bruna, P. Grimshaw, Mechanics of flight in ski jumping: aero-dynamic stability in pitch. Sports Technol. 2(1–2), 24–31 (2009)
P. Marqués-Bruna, P. Grimshaw, Mechanics of flight in ski jumping: aero-dynamic stability in roll and yaw. Sports Technol. 2(3–4), 111–120 (2009)
H. Chowdhury, F. Alama, D. Mainwaring, Aerodynamic study of ski jumping suits. Procedia Eng. 13, 376–381 (2011)
M. Virmavirta, J. Kivekäs, Effective use of a wind tunnel for ski jumping suit research, in Proceedings of the XXIIth ISB Congress, Cape Town, 2009
FIS Fact sheet, Important new rules in ski jumping and nordic combined summer grand prix (2009), http://www.fis-ski.com/mm/Document/document/General/04/23/02/July292009NewrulesatSkiJumpingandNordicCombinedSummerGrandPrix2009_Neutral.pdf. 28 July 2009
A.J. Ward-Smith, D. Clements, Experimental determination of the aerodynamic characteristics of ski-jumpers. Aeronaut. J. 86, 384–391 (1982)
A.J. Ward-Smith, D. Clements, Numerical evaluation of the flight mechanics and trajectory of a ski-jumper. Acta Appl. Math. 1(3), 301–314 (1983)
K. Seo et al., Aerodynamic study for the ground effect of ski jumping, in Proceedings of 19th ISBS Conference, San Francisco, ed. by J.R. Blackwell, R.H. Sanders (2001), pp. 128–130
Acknowledgements
The author acknowledges Mr. Juha Kivekäs (Arteform Ltd.) for his expertise in aerodynamics and the computer simulations.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 The Editor
About this chapter
Cite this chapter
Virmavirta, M. (2016). Aerodynamics of Ski Jumping. In: Braghin, F., Cheli, F., Maldifassi, S., Melzi, S., Sabbioni, E. (eds) The Engineering Approach to Winter Sports. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3020-3_6
Download citation
DOI: https://doi.org/10.1007/978-1-4939-3020-3_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-3019-7
Online ISBN: 978-1-4939-3020-3
eBook Packages: EngineeringEngineering (R0)