Model Of Bench Dragon Based on Equidistant Spiral Trajectories

By studying the movement patterns and constraints of the bench dragon, this folk activity can be made more scientifically standardized. Firstly, a polar coordinate system is established for the movement trajectory, and the integral formula for the arc length of the equidistant spiral and the formula for the node position of the bench dragon on the spiral trajectory are derived. Then, through geometric analysis, it is proven that during the dragon dance team's spiral movement, the outer vertex of the front end of the dragon head bench will first collide with the inner edge of the outer bench. Based on this, the problem is simplified and the objective function for collision judgment is derived. Constraints are listed according to the problem, and a single-objective optimization model is established. The particle swarm optimization algorithm combined with dichotomy is used to solve the termination condition of the bench dragon's spiral movement, and it is concluded that a collision occurs at 412.70s.