Research on Bench-dragon Path Based on Archimedes Spiral Model

As a traditional folk activity, the movement path optimization of the dragon dance team is very important to improve the performance effect. In this paper, a mathematical model based on Archimedes' spiral is established to accurately describe the movement trajectory of the dragon dance team in the plane, and to solve the problem of calculating the position and speed of each bench. The model uses differential method and numerical integration method, combined with recursive iteration, to get the movement trajectory of each bench, and the specific position information is obtained by computer simulation. The experimental results show that the model can effectively predict the motion state of the dragon dance team at different time points, which provides a theoretical basis for subsequent collision detection and path optimization. This study provides theoretical support for the planning and optimization of dragon dance activities, and provides reference for other similar motion path planning problems.