Optimization and simulation of bench dragon motion path based on chaotic particle swarm optimization algorithm

This paper proposes a Chaotic Particle Swarm Optimization (CPSO)-based scheme for optimizing the motion path of the traditional "Bench Dragon" performance in Zhejiang and Fujian. The motion trajectory is modeled using a polar coordinate system and differential equations, with the dynamic behaviors of the dragon's head, body, and tail described through the fourth-order Geekuta method. The CPSO algorithm is applied to optimize the minimum pitch and maximum safe speed. Simulation results show that the optimized path significantly improves the traveling efficiency and safety of the bench dragon, while reducing the likelihood of collisions between the dragon's head and body. This research provides an effective method for optimizing motion paths in traditional cultural performances and offers a theoretical foundation for solving path planning problems in other non-rigid body systems.