Research on the motion state of bench dragon based on mechanism modeling

“Bench Dragon”, also known as “Coiled Dragon”, is a traditional local folk cultural activity in the regions of Zhejiang and Fujian. People link tens or even hundreds of benches end to end to form a sinuous bench dragon. Generally speaking, on the premise that the dragon dance team can freely coil in and out, the smaller the area required for the coiled dragon and the faster the moving speed, the better the appreciation effect. Therefore, this paper proposes a mechanism model for the movement state of the bench dragon based on the variable step-size search algorithm. Firstly, a plane rectangular coordinate system is established, and the equal relationship is established by using the curve integral and the path calculation formula to obtain the recurrence relationship of the positions between the bench handles. The derivative of the position equation is taken to obtain the recurrence relationship of the speeds between the handles. Secondly, the termination situation of the coiling-in of the dragon dance team is analyzed, the minimum coiling pitch under the condition of no collision is studied, and the variable step-size search algorithm is applied for the solution, and the bisection method is combined to improve the calculation efficiency. Finally, the turning curve model is established and the length of the turning curve is analyzed. The experimental results show that the variable step-size search algorithm proposed in this paper has a good effect and provides an accurate reference strategy for the dragon dance team to determine the positions and speeds for coiling in and out.