TY - JOUR
T1 - Mechanics of flight in ski jumping
T2 - Aerodynamic stability in pitch
AU - Marqués‐Bruna, Pascual
AU - Grimshaw, Paul
N1 - Publisher Copyright:
© 2009, Copyright Taylor & Francis Group, LLC.
PY - 2009/1/1
Y1 - 2009/1/1
N2 - This study examines aerodynamic stability in pitch in ski jumping. Static stability implies automatic return to trimmed flight after a sudden disturbance and dynamic stability involves gradual damping of oscillatory motion. Both have implications for flight control and safety. A 3‐D inertia model of a ski jumper and the Planica K185 jumping hill profile were constructed using computer‐aided design. Inertia, jump performance, and aerodynamic efficiency and stability parameters were computed for variations in V‐style posture using mathematical modeling. Pitching moment at a 01 angle of attack was positive, and the condition dM/dα <0 at equilibrium was satisfied, indicating that the athlete is inherently stable. Enhanced flight posture consists of a ski‐opening angle of 301 and a forward‐leaning angle of 101. This is a high‐lift configuration with a large static margin that triggers a steep dM/dα slope and high oscillatory frequency upon deviations from trimmed attitude. Mechanisms of stability in pitch are proposed, founded upon theoretical aerodynamics.
AB - This study examines aerodynamic stability in pitch in ski jumping. Static stability implies automatic return to trimmed flight after a sudden disturbance and dynamic stability involves gradual damping of oscillatory motion. Both have implications for flight control and safety. A 3‐D inertia model of a ski jumper and the Planica K185 jumping hill profile were constructed using computer‐aided design. Inertia, jump performance, and aerodynamic efficiency and stability parameters were computed for variations in V‐style posture using mathematical modeling. Pitching moment at a 01 angle of attack was positive, and the condition dM/dα <0 at equilibrium was satisfied, indicating that the athlete is inherently stable. Enhanced flight posture consists of a ski‐opening angle of 301 and a forward‐leaning angle of 101. This is a high‐lift configuration with a large static margin that triggers a steep dM/dα slope and high oscillatory frequency upon deviations from trimmed attitude. Mechanisms of stability in pitch are proposed, founded upon theoretical aerodynamics.
KW - aerodynamics
KW - computer‐aided design
KW - modeling
KW - ski jumping
KW - stability
UR - http://www.scopus.com/inward/record.url?scp=84864109952&partnerID=8YFLogxK
U2 - 10.1080/19346182.2009.9648495
DO - 10.1080/19346182.2009.9648495
M3 - Article
AN - SCOPUS:84864109952
SN - 1492-7713
VL - 2
SP - 24
EP - 31
JO - Leisure/ Loisir
JF - Leisure/ Loisir
IS - 1-2
ER -