This study is centered on the intricate mathematical problems within the traditional "dragon dance" model. To overcome this, the research leverages dynamic optimization and real - time feedback adjustment. Techniques such as the Archimedean spiral help in accurately determining the positions of the dragon's components over time. The Separating Axis Theorem is used for collision analysis, while optimization algorithms like the Differential Whale Optimization Algorithm (DWOA) enhance the overall model. Specifically, the research optimizes the timing by calculating the position - velocity equations at different times, improves the pitch for smooth rotational transitions, and refines the trajectory by calculating the arc lengths of the turning path. These efforts provide both theoretical and technical support for the design and real - time simulation of dragon dances, promoting a more in - depth exploration of bench dragon motion and the integration of traditional culture with modern research methods.

Yuxie He, Zaiyu Zeng, Yunge Shen. Dynamic Simulation and Optimization Analysis of the Bench Dragon Based on Differential Whale Optimization Algorithm. Academic Journal of Mathematical Sciences (2025), Vol. 6, Issue 2: 17-24. https://doi.org/10.25236/AJMS.2025.060203.

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