Author(s)

YiHeng Zhang

Affiliation(s)

School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China.

Corresponding Author

YiHeng Zhang

ABSTRACT

With the acceleration of China's socialist modernization process, the protection and innovation of traditional folk culture have become the focus of societal attention. This paper focuses on the unique folk activity of the Bench Dragon, which is found in regions such as Zhejiang and Fujian. It conducts an in-depth study of the problem of the Bench Dragon entering and exiting the spiral motion with constant distance, aiming to provide theoretical support for the inheritance and development of this traditional folk custom. Through the analysis of the Bench Dragon's motion trajectory, speed variation, collision conditions, and turning areas, this paper establishes a mathematical model for the Bench Dragon's equidistant spiral motion. The model utilizes recursive formulas, geometric relationships, trigonometric theorems, and the simulated annealing algorithm to thoroughly explore the motion laws during the entering and exiting process. The study finds that there are collision risks during the entering and exiting process, calculates the time point of the first collision, and determines the minimum pitch that satisfies the turning conditions. Additionally, the paper analyzes the impact of the dragon head's speed variation on the dragon body’s speed and derives the limiting speed of the dragon head. The research results show that the model and methods established in this paper can effectively guide the arrangement and safety of Bench Dragon performances, which is of significant importance for promoting the inheritance and innovation of traditional folk culture.

KEYWORDS

Equidistant spiral motion; Simulated annealing algorithm; Bench dragon

CITE THIS PAPER

YiHeng Zhang. The problem of bench dragon entering and exiting the spiral motion with constant distance. Trends in Social Sciences and Humanities Research. 2025, 3(1): 25-32. DOI: https://doi.org/10.61784/tsshr3132.

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