The "Bench Dragon" Motion Trajectory Model Based on the Spiral Equation
DOI:
https://doi.org/10.54097/mj23me76Keywords:
Fourth-Order Runge-Kutta, Bisection Method, Optimization, Spiral Equation.Abstract
Dragon dancing, a vital aspect of traditional Chinese folk art, has evolved through the integration of modern technology and mathematical models. This study investigates the motion characteristics of dragon dance teams, addressing five critical questions about their complex trajectories. Initially, the trajectory equation of the equidistant spiral was established, and the Fourth-Order Runge-Kutta algorithm, alongside the bisection method, facilitated a high-precision analysis of the team's motion over 300 seconds, calculating key positions and velocities. To determine the termination moment of the spiral entry, a bench collision model was developed to ensure safety under varying spatial conditions. Additionally, optimizing the minimum pitch improved the performance's smoothness, while modeling arc radius as a decision variable reduced the area and speed needed for the dragon's movement. A scheme to enhance the speed of the dragon's head was also proposed, enriching the visual appeal of the performance. This research offers fresh insights into dragon dance motion patterns and promotes innovation in traditional culture.
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