Simulation of the motion of a pendulum

Research Article
Open access

Simulation of the motion of a pendulum

Tianhui Zhang 1*
  • 1 New channel    
  • *corresponding author Tt060913@qq.com
Published on 31 January 2024 | https://doi.org/10.54254/2755-2721/32/20230864
ACE Vol.32
ISSN (Print): 2755-273X
ISSN (Online): 2755-2721
ISBN (Print): 978-1-83558-289-3
ISBN (Online): 978-1-83558-290-9

Abstract

The project's objective is to simulate movement in the study and analysis of motion simulation problems and to propose simulation algorithms based on numerical calculation methods. It has many practical application values. In engineering and science, it is often necessary to simulate and analyze the motion of the fold to study the motor and dynamic properties of the fold, providing the theoretical basis and solutions to practical problems. With the support of modern computers and numerical computing technology, the problem of motion simulation has become a popular research direction. Many scholars and engineers have proposed different numerical calculation methods and simulated algorithms to simulate the motion process of the fold and analyze its motion laws. This article introduces the basic knowledge of physics and the formulas of motion, as well as some important concepts and theories related to motion. The motion simulation algorithm was then analyzed and discussed in detail. Subsequently, numerical calculations were prepared using MATLAB software, and simulated experiments were conducted using examples to analyze dynamic changes. Finally, the prospects for the future direction of research are presented. Therefore, if the initial speed is the same, the width and length of the time will increase.

Keywords:

numerical calculation methods, MATLAB, change initial speed

Zhang,T. (2024). Simulation of the motion of a pendulum. Applied and Computational Engineering,32,285-291.
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References

[1]. Deng Ruijuan, Chen Qianqian.(2021) Introduction of the Higher Grade Eula Equation [J]. Red River Academy Journal, 19 (02): 149-150

[2]. Li Jianxiang, Li Ling.(2016) The application of variable substitution in the solution of differential equations [J]. Scientific advice (educational and scientific research), 2022(08):123-127.

[3]. Huang Fei, Geng Jie.(2018) A Class of Reducible second-order homogeneous linear equations with variable coefficients [J]. Journal of Hebei North University (Natural Science Edition),34(09): 7-921.

[4]. Jie Liu.(2000) Different solutions to the vibration equation of a single pendulum [ J ] . Journal of Liaoning Teachers College (natural science edition) , 2000(02) : 26-27.

[5]. Ju Yanqing, Zhang Fenglei.(2010) Movement analysis of simple pendulum under the action of comprehensive factors [J]. Liaodong Academy Journal (Natural Science Edition), 17 (02): 151-153.

[6]. Jiangshan, Zhang Yan, Sun Meiling.(2019) Comparison of the primary values of the equation of common differential differentiation with the application of the Long-Kuta method [J]. Journal of Science of Teachers′ College and University, 39(12):12-15.

[7]. Chen Yan.(2019) Explicit solution of second order Linear differential equation initial value problem with variable coefficients [J]. Journal of Jiamusi Vocational College, 2019(05) : 287-288.

[8]. Yang Wenjin, Wang Hongli, Liu Caiyun, etc. . (2020) using MATLAB to determine the motion characteristics of single pendulum theoretical research [J]. Journal of Southwest Normal University (natural science edition) , 45(11) : 167-170.

[9]. Ju Yanqing.(2006) Comparison of several approximate formulas for the period of a simple pendulum[J]. Laboratory Research and Exploration, 2006(05):585-587.

[10]. Ma Kun. (2019) numerical analysis of simple pendulum motion based on MATLAB [J] . Journal of Chizhou College, 33(03) : 37-39.

Cite this article

Zhang,T. (2024). Simulation of the motion of a pendulum. Applied and Computational Engineering,32,285-291.

Data availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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About volume

Volume title: Proceedings of the 2023 International Conference on Machine Learning and Automation

ISBN：978-1-83558-289-3(Print) / 978-1-83558-290-9(Online)
Editor：Mustafa İSTANBULLU
Conference website: https://2023.confmla.org/
Conference date: 18 October 2023
Series: Applied and Computational Engineering
Volume number: Vol.32
ISSN：2755-2721(Print) / 2755-273X(Online)

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References

[1]. Deng Ruijuan, Chen Qianqian.(2021) Introduction of the Higher Grade Eula Equation [J]. Red River Academy Journal, 19 (02): 149-150

[2]. Li Jianxiang, Li Ling.(2016) The application of variable substitution in the solution of differential equations [J]. Scientific advice (educational and scientific research), 2022(08):123-127.

[3]. Huang Fei, Geng Jie.(2018) A Class of Reducible second-order homogeneous linear equations with variable coefficients [J]. Journal of Hebei North University (Natural Science Edition),34(09): 7-921.

[4]. Jie Liu.(2000) Different solutions to the vibration equation of a single pendulum [ J ] . Journal of Liaoning Teachers College (natural science edition) , 2000(02) : 26-27.

[5]. Ju Yanqing, Zhang Fenglei.(2010) Movement analysis of simple pendulum under the action of comprehensive factors [J]. Liaodong Academy Journal (Natural Science Edition), 17 (02): 151-153.

[6]. Jiangshan, Zhang Yan, Sun Meiling.(2019) Comparison of the primary values of the equation of common differential differentiation with the application of the Long-Kuta method [J]. Journal of Science of Teachers′ College and University, 39(12):12-15.

[7]. Chen Yan.(2019) Explicit solution of second order Linear differential equation initial value problem with variable coefficients [J]. Journal of Jiamusi Vocational College, 2019(05) : 287-288.

[8]. Yang Wenjin, Wang Hongli, Liu Caiyun, etc. . (2020) using MATLAB to determine the motion characteristics of single pendulum theoretical research [J]. Journal of Southwest Normal University (natural science edition) , 45(11) : 167-170.

[9]. Ju Yanqing.(2006) Comparison of several approximate formulas for the period of a simple pendulum[J]. Laboratory Research and Exploration, 2006(05):585-587.

[10]. Ma Kun. (2019) numerical analysis of simple pendulum motion based on MATLAB [J] . Journal of Chizhou College, 33(03) : 37-39.

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