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

Baocong Sun

Baocong Sun

Physical Education Institute, Shandong University of Finance and EconomicsChina
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Sun, Baocong
  
13. Dez. 2021
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Online veröffentlicht: 13. Dez. 2021
Seitenbereich: 831 - 840
Eingereicht: 17. Juni 2021
Akzeptiert: 24. Sept. 2021
DOI: https://doi.org/10.2478/amns.2021.2.00072
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© 2021 Baocong Sun, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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
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Biologie, Biologie, andere, Mathematik, Angewandte Mathematik, Mathematik, Allgemeines, Physik, Physik, andere
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