Research on the Kinematic Model of "Benching Dragon" Based on Archimedes Spiral

Junnan Zhong; Jiayang Xiao

doi:10.54097/p28xfk57

Authors

Junnan Zhong
Jiayang Xiao

DOI:

https://doi.org/10.54097/p28xfk57

Keywords:

Kinematic model, Archimedes spiral, geometric approximation, recurrence method.

Abstract

Based on the Archimedes spiral, this paper establishes the kinematics model of "Bench Dragon" in order to optimize its motion trajectory and improve the scientific and artistic performance. By using the methods of plane geometry, physical kinematics and recursive calculation, this paper focuses on the analysis of the trajectory and position equations of the whole movement of the dragon team. Especially in the adjustment of pitch and motion path, detailed mathematical derivation and approximate analysis are carried out. In this paper, the size and connection mode of the dragon team are analyzed as a whole, and then the kinematics model of the dragon head is established as the benchmark of the movement of the dragon body and tail. The motion model of the dragon body and tail is extended by recursive method, and finally the position of each handle point per second are obtained. This research not only provides a scientific basis for optimizing the motion trajectory of the 'Bench Dragon' performance, enhancing its safety and visual appeal, but also serves as a model for integrating traditional culture with modern technology, offering new approaches for preserving and promoting folk customs.

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