<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In order to consider many uncertain factors in the process of shot-put, a fuzzy optimisation model of shot-put is proposed. With the help of fuzzy anthropometric data and strength data, the model calculates the fuzzy solution set of the athlete's best throwing mode and throwing distance with a known probability distribution, which reflects the actual process of shot throwing better than the non-fuzzy optimisation model. Then, using MATLAB6 software, the program design of the model solving and the user interface of optimisation software are developed, which realises fast calculation and good user interaction function. Finally, the actual measurement data of university shot-putters are used to verify the feasibility and effectiveness of the fuzzy optimisation model.</p>
</abstract>

In order to consider many uncertain factors in the process of shot-put, a fuzzy optimisation model of shot-put is proposed. With the help of fuzzy anthropometric data and strength data, the model calculates the fuzzy solution set of the athlete's best throwing mode and throwing distance with a known probability distribution, which reflects the actual process of shot throwing better than the non-fuzzy optimisation model. Then, using MATLAB6 software, the program design of the model solving and the user interface of optimisation software are developed, which realises fast calculation and good user interaction function. Finally, the actual measurement data of university shot-putters are used to verify the feasibility and effectiveness of the fuzzy optimisation model.

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

Shandong University of Finance and Economics

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In order to consider many uncertain factors in the process of shot-put, a fuzzy optimisation model of shot-put is proposed. With the help of fuzzy...

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

	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

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

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

Published Online: Dec 13, 2021

Page range: 831 - 840

Received: Jun 17, 2021

Accepted: Sep 24, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00072

Keywords
sports training, shot-put, shot angle, model

© 2021 Baocong Sun, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

List of human test data and strength data of athletes.

List of athletes throwing data.

List of membership functions.

List of athletes’ best throwing mode and throwing distance.

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

Published Online: Dec 13, 2021

Page range: 831 - 840

Received: Jun 17, 2021

Accepted: Sep 24, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00072

Keywordssports training, shot-put, shot angle, model

© 2021 Baocong Sun, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

List of human test data and strength data of athletes.

List of athletes throwing data.

List of membership functions.

List of athletes’ best throwing mode and throwing distance.

Keywords
sports training, shot-put, shot angle, model