Author(s)

Fei Lei ¹, Qiong Liu ², Xiongyu Shen ¹, Guilin Zhou ³, Jiahui Li ⁴

Affiliation(s)

¹ Department of Brewing Engineering and Automation, Moutai Institute, Renhuai, China
² Department of General Education, Moutai Institute, Renhuai, China
³ Department of Resources and Environment, Moutai Institute, Renhuai, China
⁴ The Department of Business Administration, Moutai Institute, Renhuai, China

Corresponding Author

Qiong Liu

ABSTRACT

As an important folk cultural treasure, "Bench Dragon" attracts many audiences with its unique dance form [1]. Based on mathematical modeling and optimization algorithm, this paper discusses the dynamic marching process of the dragon dance team on the spiral line, focusing on the path planning and speed optimization of the coil in and out, aiming to improve the smoothness and safety of the dragon dance performance, so as to enhance the visual impact of its cultural heritage. Firstly, the position of the dragon head over time is deduced through the conversion of polar coordinates and Cartesian coordinates, and the positions of the dragon body and tail parts in each second are calculated step by step by using the geometrical characteristics of the dragon [2]. Meanwhile, the central difference method was applied to solve the velocity of the key nodes, and the model results were visually examined to verify the validity of the model [3]. Then, the position model and the collision detection model of the multi-bench system were constructed, the minimum distance between benches was calculated, and the collision was detected by the differential method, which finally led to the conclusion that the dragon's head collided with the 8th board of the dragon's body at about 412.6 seconds [4]. Finally, based on the previous research results, the collision detection model was constructed and the critical point was measured, and the range of the pitch to satisfy the condition was determined to be 0.450~0.451 meters using the global traversal method. The research in this paper provides theoretical support for the safety and fluidity of non-heritage dragon dance activities.

KEYWORDS

Isometric solenoid, Differential, Collision detection model, Global traversal, "Bench Dragon" motion simulation

CITE THIS PAPER

Fei Lei, Qiong Liu, Xiongyu Shen, Guilin Zhou, Jiahui Li, Optimization of Bench Dancing Dragon Team Motion Based on Collision Detection Model and Numerical Simulation. Advances in Computer, Signals and Systems (2024) Vol. 8: 112-121. DOI: http://dx.doi.org/10.23977/acss.2024.080616.

REFERENCES

[1] Wang J, Liu P, Xue R, et al. Conceptual Model, Experiment and Numerical Simulation of Diaphragm Wall Leakage Detection Using Distributed Optical Fiber[J].Materials (Basel, Switzerland), 2023, 16(2).DOI:10.3390/ma16020561.
[2] Zhang Jianghua, Zou Baojian, Ma Xiaofen, et al. Structural design of negative-pressure inhalation traditional Chinese medicine automatic dispenser based on Cartesian coordinate robot [J]. Shandong Industrial Technology, 2022, (01):3-8.DOI:10.16640/j.cnki.37-1222/t.2022.01.001.
[3] Qi Wenrui, Pan Danguang, Gao Yongtao, et al. Center-differential imaginary initial condition method for seismic response of hysteretic damped systems[J]. Engineering Mechanics, 2020, 37(09): 94-102.
[4] Qiao Xingyu. Research on spatial mesh collision detection method between fabric and rigid body model[D]. North Central University, 2024. 
[5] Shi Xianliang. Approximation of plane curves by Archimedean isometric solenoids[J]. Journal of Applied Mathematics, 1980, (03):255-261.

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