Dragon dance, a traditional folk activity, demands enhanced safety and performance. Yet, research on its kinematic models and collision analysis remains scarce. This study aims to fill this gap. Employing plane geometry, physical kinematics, and mathematical proof, it constructs kinematic models for the dragon head, body, and tail based on the Archimedean spiral and recursive methods, while defining “safe distance” for collision analysis. Simulation shows the team halts due to collision at t=416 seconds, revealing the dragon body’s speed decline with distance from the head and the head’s initial speed impact on collision time. The innovation lies in integrating geometric and physical methods to precisely model dragon dance movements, offering a scientific safety – management foundation and a novel approach for other complex systems’ kinematic studies.
