Safety Analysis of the Folk Activity "Bench Dragon" Based on Motion Modeling

The protection of folk culture is not only a respect for history and tradition but also an important measure to promote social development, cultural inheritance, and economic prosperity. This paper focuses on the traditional local folk cultural activity of the "Bench Dragon" found in the Zhejiang and Fujian regions, investigating the most reasonable motion of each segment of the dragon body under specific spatial constraints and dragon body length. We establish corresponding mathematical models for the conditions of the dragon body entering and exiting, as well as collision detection, utilizing Newton's iterative method, the bisection method, and knowledge of plane geometry. Through recursive relationships, this study determine the geometric positions and velocities of each segment of the dragon body at different time points, while geometric relationships help identify the time nodes that avoid collisions during the entering process. Additionally, optimization algorithms are employed to derive the minimum pitch required for the dragon body to safely turn. The research results presented in this paper are significant for the safety and aesthetic appeal of folk activities such as the "Bench Dragon," contributing to the inheritance and promotion of outstanding Chinese folk culture.