A Study of the State of Motion Based on Archimedean Solenoids and Nonlinear Programming

The purpose of this paper is to analyze the mechanism of moving objects by using the plane analytic geometry property of Archimedean solenoids and the rigid body property [1],[2]. A unique traditional folk cultural activity, bench dragon, is taken as an example. Firstly, a mathematical model is established and solved by Python to analyze the position and speed of the dragon dance team when the dragon head is moving at a uniform speed, and verify that the speed of the dragon head is constant at 1m/s; secondly, the collision problem of the dragon dance team is solved by nonlinear planning and difference method [3],[4], and the method of "Associated Dangerous Plate Discriminatory" is proposed, and it is found that the collision occurs in about 413s; finally, the minimum pitch is determined to be 45.2m, and the minimum distance is determined to be 1.5m. Finally, the minimum pitch is determined to be 45.2cm to meet the requirement of turnaround space, and the limitation of arc adjustment is clarified through geometric demonstration, and the results are finally verified by simulation.