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Mathematical simulation analysis of optimal detection of shot-putters’ best path

   | 13 dic 2021

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Fig. 1

Schematic diagram of the relationship between physical quantities in the exertion phase.
Schematic diagram of the relationship between physical quantities in the exertion phase.

Fig. 2

μF graph.
μF graph.

Fig. 3

Block diagram of program design.
Block diagram of program design.

Fig. 4

Schematic diagram of menu structure.
Schematic diagram of menu structure.

Fig. 5

Optimisation result display window.
Optimisation result display window.

List of human test data and strength data of athletes.

Anthropometric data Power data
Shoulder height (m) Arm length (m) Horizontal thrust (N) Decline rate (N·degree−1)

1.68 ± 0.05 0.87 ± 0.08 462 ± 11 3.2 ± 0.3

List of athletes throwing data.

Throwing distance (m) Shot speed (m·s−1) Shot angle (°) Shot height (m)
15.9 ± 0.8 11.9 ± 0.3 34.1 ± 1.5 2.11 ± 0.05

List of membership functions.

d− Most likely value d+

Shoulder height (m) 0.05 1.68 0.05
Arm length (m) 0.08 0.87 0.08
Horizontal thrust (N) 11 462 11
Decline rate (N·degree−1) 0.3 3.2 0.3

List of athletes’ best throwing mode and throwing distance.

Possibility Throwing distance (m) Shot speed (m·s−1) Shot angle (°) Shot height (m)

0 17.27 12.38 33.36 2.31
0.25 16.75 12.15 33.01 2.28
0.5 16.24 11.99 33.66 2.26
0.75 15.75 11.80 32.30 2.23
1 15.21 11.61 31.94 2.20
0.75 14.86 11.41 32.04 2.18
0.5 14.23 11.33 32.16 2.15
0.25 14.11 11.19 32.27 2.13
0 13.93 11.01 32.38 2.11
eISSN:
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Volume Open
Temas de la revista:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics