Study On The "Bench Dragon" Problem Based on Fundamental Mathematical and Physical Models

Abstract

This study explores the traditional folk cultural activity known as the "Bench Dragon" by developing a series of mathematical and physical models to analyze, simulate, and optimize its motion dynamics. The research integrates concepts from analytic geometry, kinematics, and optimization theory to address the unique challenges of this activity. Key areas of focus include the planning of helical motion trajectories and the detection of dynamic collisions, which are crucial for accurately simulating the movement of the Bench Dragon. The models also incorporate advanced computational techniques to enhance the precision and efficiency of simulations. By adopting a scientific approach, the research provides a deeper understanding of the fundamental principles that govern the Bench Dragon performance. This work not only contributes to the preservation and promotion of this cultural tradition but also offers valuable insights for the design of multi-body systems, including applications in robotic arm path planning, flexible body motion analysis, and other engineering fields involving complex motion and interaction.