Research on the Dragon Dance Formation Based on Spiral Motion Model and Collision Detection

Jiazong Han; Yinuo Su; Ziheng Ding

doi:10.54097/bkkh5m76

Authors

Jiazong Han
Yinuo Su
Ziheng Ding

DOI:

https://doi.org/10.54097/bkkh5m76

Keywords:

Dragon dance, Spiral motion model, Collision detection, Runge-Kutta method.

Abstract

This study presents a mathematical model of the motion of a dragon dance team moving along an Archimedean spiral path. The motion of 224 points representing the dragon dance team is described using parametric equations, with the velocity of each point determined through the Runge-Kutta method. The study investigates the dynamics of the dragon head and body segments as they spiral inward, with a focus on maintaining fixed distances between consecutive points. Additionally, collision detection between the dragon's benches is implemented to prevent overlap. The termination time of the motion is determined by identifying the first collision between the dragon head and the body segment. The results demonstrate the application of numerical methods to model complex dynamic systems and ensure smooth movement without collision. The first collision occurs at 432.18 seconds, during the dragon's thirteenth loop. This study provides a valuable theoretical and practical basis for the motion analysis of complex dynamic systems by accurately simulating the movement of a dragon dance team along an Archimedean spiral and proposing a novel collision detection method.

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