Abstract
This paper describes the lace angle dependence on the side force coefficient and the trade-off condition between Pareto optimal solutions on the fluctuating punted kick by using Self-Organizing Maps. It was found that the side force depends on the position of the lace since the flow around the ball, which is affected by the lace and the 4 seams of the ball, is asymmetric. Therefore, it is considered that a punted kick rotating at lower spin rates fluctuates in the lateral direction during the flight. In the optimization study, it was assumed that there were five objective functions and nine control parameters. Four of 5 objective functions are concerned with the fluctuation in the forward and the lateral directions, and the fifth objective function is the hang time. The relationship between five objective functions and nine control parameters was visualized by using Self-Organizing Maps. It was found that there was a trade-off between the hang time and the fluctuation.