Quantitative Analysis Of 'Bench Dragon' Motion Characteristics Based on The Euclidean Spiral Equation

The purpose of this paper is to quantitatively analyze the movement characteristics of the traditional folklore activity “Bench Dragon” through mathematical methods. An ideal mathematical model for this problem has not been proposed in the existing literature. In this paper, the isometric solenoidal equation is used to describe the trajectory of the “bench dragon”, and the coordinate recurrence relationship between the parts of the dragon team is deduced by combining the distance formula and kinematics principle with the associated equations. Further, the angular recurrence relationship between the parts of the dragon team is obtained by solving the triangle problem. Based on these kinematic relationships, this paper constructs a model of the corresponding differential equations and integrates them to derive a functional expression for the angle as a function of time. Finally, the recursive relationship between the speeds of the parts of the Dragons is obtained by taking the first order derivative of the angle with respect to time. The above study provides a reliable mathematical model and solution method for the quantitative analysis of the motion characteristics of the “Bench Drago”.