“板凳龙”运动位形与碰撞检测模型

Model of the Motion Posture and Collision Detection of “The Bench Dragon”

摘要: “板凳龙”是一种传统民俗艺术形式，人们通过按照一定行进路线舞动龙体，达到“盘龙”的视觉效果。演出用“板凳龙”一般可视为数百条板凳相互铰接构成的刚体结构，为定量描述其运动位形，本文基于刚体运动学建立了迭代运算模型，来描述“板凳龙”位置速度随时间的变化情况；建立了栅格模型以判断“板凳龙”行进过程中是否会发生碰撞，让舞龙活动更加安全；考虑了掉头空间内类似太极图案的舞龙队行进轨道，并进行了相关计算，从而提升舞龙的美观性。

Abstract: The “bench dragon” is a traditional folk art form that requires the dancing team to proceed along a certain route. This is achieved by maneuvering the dragon body along a specific route, giving the appearance of “panning the dragon”. The “bench dragon” used in performances can generally be considered a rigid body structure composed of several hundreds interconnected benches, connected via hinges. To quantitatively describe the motion of the “bench dragon”, this paper develops an iterative operation model based on rigid body kinematics. This model captures the changes in position and velocity of the dragon over time. Additionally, a grid model is established to predict and prevent potential collisions during the dragon’s procession, thereby enhancing the safety of the performance. Furthermore, the paper examines the procession track of the dragon-dancing team within a turning space that resembles the Tai Chi pattern. Through relevant calculations, the aesthetic appeal of the dragon-dancing performance is enhanced.