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# Research on Planar Double Compound Pendulum Based on RK-8 Algorithm

Zilu Meng1, Zhehan Hu1, Zhenzhen Ai1, Yanan Zhang2,*, Kunling Shan2

1 Engineering Training Center, Nanjing University of Information Science & Technology, Nanjing, 210044, China
2 School of Atmospheric Sciences, Nanjing University of Information Science and Technology, Nanjing, 210044, China

* Corresponding Author: Yanan Zhang. Email:

Journal on Big Data 2021, 3(1), 11-20. https://doi.org/10.32604/jbd.2021.015208

## Abstract

Establishing the Lagrangian equation of double complex pendulum system and obtaining the dynamic differential equation, we can analyze the motion law of double compound pendulum with application of the numerical simulation of RK-8 algorithm. When the double compound pendulum swings at a small angle, the Lagrangian equation can be simplified and the normal solution of the system can be solved. And we can walk further on the relationship between normal frequency and swing frequency of double pendulum. When the external force of normal frequency is applied to the double compound pendulum, the forced vibration of the double compound pendulum will show the characteristics of beats.

## Cite This Article

APA Style
Meng, Z., Hu, Z., Ai, Z., Zhang, Y., Shan, K. (2021). Research on planar double compound pendulum based on RK-8 algorithm. Journal on Big Data, 3(1), 11-20. https://doi.org/10.32604/jbd.2021.015208
Vancouver Style
Meng Z, Hu Z, Ai Z, Zhang Y, Shan K. Research on planar double compound pendulum based on RK-8 algorithm. J Big Data . 2021;3(1):11-20 https://doi.org/10.32604/jbd.2021.015208
IEEE Style
Z. Meng, Z. Hu, Z. Ai, Y. Zhang, and K. Shan "Research on Planar Double Compound Pendulum Based on RK-8 Algorithm," J. Big Data , vol. 3, no. 1, pp. 11-20. 2021. https://doi.org/10.32604/jbd.2021.015208

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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