Research on the Velocity and Position Solution of Dragon Dance Team Based on Helical Motion Mechanism

Abstract

The Panlong custom is prevalent in the southern provinces and cities of the annual event and contains a deep regional culture, its movement can be seen as a multi-jointed chain along the isometric spiral. The seemingly simple form of screw coil entry in the dragon dance movement requires precise control of the speed and position of each handle to achieve a complex movement that is beautifully coordinated. Herein, this study constructed the mapping function of the front handle coordinates of the dragon's head about time searched and approximated the position of the back handles using the dichotomy method, solved the velocity transfer relationship between the front and back two handles, and according to the established chain iteration model of the dancing dragon's plate entry, the positions and velocities of the individual handles were solved sequentially backward, and the positions and velocities of each handle were obtained within 300s. If the two handles of the bench are traveling along a curve with continuously changing curvature, the linear velocity of the handles increases in the direction of increasing curvature. When coiling along the spiral, the direction of coiling is the direction of growing curvature, so the velocity of the dragon's head is the maximum value of the whole coiling velocity.