Research on the Optimization Model and Algorithm for the Movement Path of the "Bench Dragon"

To enhance the organizational efficiency and cultural presentation effectiveness of the folk activity "Bench Dragon", this paper focuses on the dynamic optimization problem of the Bench Dragon's "panlong" (coiling) movement. A chain path optimization modeling method based on plane geometric recursion and kinematic constraints is proposed: First, an Archimedean spiral model is constructed to characterize the movement trajectory of the dragon head. The spatiotemporal coordinates and velocity distribution of each dragon body segment are systematically derived using differential-integral methods. For collision constraints during movement, a safety distance verification model in polar coordinate space is established. Combined with the bisection method and iterative algorithms, the critical coiling time is accurately solved. Under the constraint of turn space, the minimum safe pitch is determined through parameter optimization. The quantitative model system constructed in this study provides a scientific dynamic analysis framework and optimization strategy support for improving the coordination and spectacle of the dragon dance performance.