Research Model on Motion Planning of Bench Dragon Based on Archimedean Spiral

The bench dragon, a traditional folk activity in Zhejiang and Fujian, requires high team rhythm and section circling coordination. Optimizing the position, coordinate and speed of its front and rear sections is crucial to improving movement status and viewing effects. This study optimizes its trajectory based on the Archimedean spiral model: it digitally defines the trajectory via the spiral’s polar coordinate equation, obtains the dragon handle’s distance expression through arc length integration, and establishes a clockwise coiling position model with constant front-rear handle distance as a constraint 1. The handle’s relative position, coordinate objective function and speed equation (via differentiation) are derived, and instantaneous position/speed is solved by time-step algorithm. The Results show good fitting between calculated values and the spiral, verifying the model’s validity. The innovation lies in combining folk performance with spiral mathematical modeling for precise optimization, providing theoretical/practical support for optimal route selection.