This paper focuses on the position, speed change and collision detection problems during the traveling process of the bench dragon from both physical and mathematical perspectives. Firstly, based on the equidistance solenoid equation and the mechanical arm model, this paper iteratively recursively starts from the dragon head and sequentially solves the position of each section of the bench in the traveling process. Secondly, this paper combines the velocity analysis of the rigid rod and the nature of isometric solenoid, and also solves the position of each section of the bench in the traveling process sequentially in the form of iterative recursion. Finally, this paper discretizes the disk-in trajectory and carries out collision detection, so as to obtain the time, position, velocity and other information at the termination moment. The study shows that the model can effectively solve the complex optimization problem in the marching process of the dragon dance team.
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