شناسایی پارامترهای بسکتبال برای یک مدل شبیه سازی

We estimate values of the coefficients of air drag, friction, stiffness and damping for a dynamic model of basketball shots by analyzing ball position and orientation using video data for basketball-rim and basketball-backboard bounce tests. The dynamic model can calculate any configuration change of a basketball during shots. The simulation model is compared to actual bounce tests and the parameters are determined from these experiments. The dynamic model with the identified parameters calculates a ball trajectory similar to the actual measured results. Stiffness and damping coefficients are determined from basketball-backboard bounce tests.

A complete, detailed and accurate dynamic model with real parameters for basketball shots can be used in numerical simulations to replace actual dynamic experiments. In order to improve the model it will be necessary to compare it to actual physical experiments. Some previous studies have measured basketball parameters. Okubo and Hubbard [1] did MTS tests to obtain the ball stiffness and damping coefficients. Okubo and Hubbard [2] also measured the coefficient of friction between the ball and rim, and between the ball and a polycarbonate backboard. Alaways et al. [3] introduced a new friction test apparatus to determine coefficients of friction for round balls including basketballs. Two dynamic models have been used to analyze basketball shots. Okubo and Hubbard [4][5] investigated and compared release conditions for capture in direct and bank shots using their dynamic model, which has six distinct sub-models. Silverberg et al.[6] analyzed direct and bank shots using a comparable dynamic model. To our knowledge, no one has compared their dynamic model to actual basketball shots. We compare our dynamic model to actual data and improve it. Data on basketball shots are obtained in some simple bounce tests

We have identified parameters for a simulation model of basketball shots by analyzing measured basketball position and orientation from video data in ball-rim and ball-bounce experiments. The coefficient of air drag has been estimated from a free-fall trajectory. The stiffness and damping coefficients are determined from ball-board bounce tests. The dynamic model with the measured basketball parameters calculates reasonable ball trajectories. The model may be able to help players improve their skills by using it to calculate optimal release conditions in any type of basketball shot and to expect optimal position for rebounds