2011 Fiscal Year Final Research Report
Basketball shot simulator
| Project/Area Number |
21500603
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Sports science
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| Research Institution | Chiba Institute of Technology |
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Principal Investigator |
OKUBO Hiroki 千葉工業大学, 工学部, 教授 (00250689)
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| Project Period (FY) |
2009 – 2011
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| Keywords | スポーツ工学 / バイオメカ二クス / ダイナミクス / バスケットボール / モデリング |
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| Research Abstract |
A dynamic model for motion of basketball in basketball shots is derived using the Kane's method. The model is used to investigate shot success sensitivity to initial conditions and to search for initial conditions that lead to capture or escape of shots. Nonlinear ordinary differential equations describe velocities and angular velocities of a basketball. Our dynamic model with real parameters has six distinct sub-models : gravitational flight with air drag, and ball-contact sub-models for ball-rim, ball-backboard, ball-bridge, ball-bridge-board, and ball-rim-board. Each contact sub-model allows both slipping and non-slipping, and spinning and non-spinning motions. We switch between the sub-models depending on the contact point velocity and forces. The ball-contact sub-model includes radial ball compliance and dissipation. We identify coefficient of air drag, basketball stiffness and damping, and friction of the ball for the rim and backboard. The model can calculate long rolling on the rim, and even stick between the rim and backboard.
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