Research on the Coiling and Turning of the “Bench Dragon” Based on the Archimedean Spiral Motion

Abstract

This study focuses on the dance activity with "Bench Dragon" in traditional folk culture and mainly explores the position and velocity variation patterns of the "Bench Dragon" in helical motion. The motion model for each node of the dragon dance team was established using the Archimedean Equidistant Spiral equation. Based on numerical solving methods in MATLAB, the Runge-Kutta algorithm was employed to solve the motion trajectory of the dragon's head handle. Additionally, a time-stepping algorithm and numerical differentiation method were utilized to calculate the velocity changes of each node at different time points. The criteria for determining danger points and constraints were established, and a discretization algorithm was applied to discretize the benches. Using a collision detection algorithm, the critical conditions when collisions occur were calculated and determined, leading to the inference of the maximum entanglement moment and the associated motion states.