Research on the geometric model of Bentauron based on simulated annealing algorithm

Abstract

Based on the background of the traditional folk culture activity "Bench Dragon", this paper presents mathematical modeling and optimization analysis for the marching and turning of the dragon dance team on a specific path. Firstly, this paper determines the velocity and position distribution of each bench under the condition of constant faucet speed by helix equation. Aiming at the problem of the faucet entering the turning space smoothly, this paper determines the minimum pitch which satisfies the space limitation by mathematical derivation and iterative algorithm. In order to further optimize the turning path, the optimal turning path is obtained by combining the simulated annealing algorithm and the random seed method, and the tangency between the turning curve and the spiral path is ensured. Finally, through the method of dichotomy and particle swarm optimization, the paper finds the optimal solution that the maximum traveling speed of the leader does not exceed 2 m/s, which ensures the speed coordination and safety of the whole team. The optimization scheme proposed in this paper not only ensures the smooth entry and exit of the dragon dance team in the complex path, but also improves the appreciation and practicability of the performance.