Research on Bench-dragon Path Based on Archimedes Spiral Model
DOI:
https://doi.org/10.54097/qz486v75Keywords:
Archimedean Spiral, Derivative of Arc Length, Collision Detection, Separating Axis Theorem.Abstract
As a traditional folk activity, the movement path optimization of the dragon dance team is very important to improve the performance effect. In this paper, a mathematical model based on Archimedes' spiral is established to accurately describe the movement trajectory of the dragon dance team in the plane, and to solve the problem of calculating the position and speed of each bench. The model uses differential method and numerical integration method, combined with recursive iteration, to get the movement trajectory of each bench, and the specific position information is obtained by computer simulation. The experimental results show that the model can effectively predict the motion state of the dragon dance team at different time points, which provides a theoretical basis for subsequent collision detection and path optimization. This study provides theoretical support for the planning and optimization of dragon dance activities, and provides reference for other similar motion path planning problems.
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[1] Chen Ziyao. Investigation on the artistic form of the intangible heritage traditional dance "Anren Bench Dragon" [J]. Art Review, 2024, (21): 7 - 12.
[2] SUN Jini. Research on the communication strategy of Benlong Datian [J]. Tiangong, 2024, (18): 54 - 56.
[3] Archimedes spiral [J]. New Century Intelligence, 2024, (45): 49.
[4] Wang Jibin, Ni Liyun, Yu Mingshuo. Analysis and Solution of the Spiral Motion of "Bench Dragon" [J]. Journal of Nantong Vocational University, 2020, 39 (01): 60 - 64+93.
[5] LI Liang. Solving cantilever beam bending deformation problem with Matlab numerical integration method [J]. Journal of Yellow River institute of science and technology, 2023, 25 (08): 50 to 55.
[6] Peng Tao, Next-lin, Lu Xiaolong, et al. Based on differential quadrature method (the ends of the consolidation of rigid boom tension identification study [J]. Journal of vibration and shock, 2025, 44 (02): 94 - 103.
[7] Zheng Lifei, Wei Ning, Wan A-Ying. How to Solve the Arc Length of Archimedes Spiral by element Method [J]. Journal of Hulunbuir University, 2011, 19 (02): 95 - 97.
[8] Lin Fei, Zhang Cong, Zou Ling. Optimization Algorithm for Collision Detection Based on Composite Hierarchical Bounding Boxes [J]. Intelligent IoT Technology, 2022, 5 (06): 11 - 16.
[9] Li Zhizhou. Study and Application of Collision Detection Algorithm Based on the Nearest Support Point [D]. Guangdong University of Technology, 2022.
[10] Liu Na, Mao Xiaojun. Collision Detection Algorithm Based on the Separating Axis Theorem [J]. Digital Technology and Application, 2012, (08): 102.
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