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Basketball shot simulator

Research Project

Project/Area Number 21500603
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Sports science
Research InstitutionChiba Institute of Technology

Principal Investigator

OKUBO Hiroki  千葉工業大学, 工学部, 教授 (00250689)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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 / バイオメカニクス
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.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (5 results)

All 2011 2010 2009

All Presentation (5 results)

  • [Presentation] Basketball free-throw rebound motion2011

    • Author(s)
      Hiroki Okubo
    • Organizer
      5^<th> Asia-Pacific Congress on Sports Technology
    • Place of Presentation
      Melbourne (Australia)
    • Year and Date
      2011-08-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] Basketball free-throw rebound motions2011

    • Author(s)
      Hiroki Okubo, Mont Hubbard
    • Organizer
      The Impact of Technology on Sport IV
    • Related Report
      2011 Final Research Report
  • [Presentation] Identification of basketball parameters for a simulation model2010

    • Author(s)
      大久保宏樹
    • Organizer
      8^<th> International Conference of Sports Engineering
    • Place of Presentation
      ウィーン(オーストリア)
    • Year and Date
      2010-07-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Identification of basketball parameters for a simulation model2010

    • Author(s)
      Hiroki Okubo, Mont Hubbard
    • Organizer
      The Engineering Sport 8
    • Related Report
      2011 Final Research Report
  • [Presentation] Conditions for basketball stick between the rim and backboard2009

    • Author(s)
      Hiroki Okubo, Mont Hubbard
    • Organizer
      The impact of Technology on Sport III
    • Related Report
      2011 Final Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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