南通职业大学学报2025，Vol.39Issue(1)：60-64,93,6.DOI:10.3969/j.issn.1008-5327.2025.01.012
"板凳龙"的螺线运动分析与求解
Kinematic Analysis and Solution to Spiral Maneuvers in"Bench Dragon"
摘要
Abstract
The kinematic issues of the"Bench Dragon"formation during spiraling-in and spiraling-out from equidistant spirals with a constant leading speed are addressed.Based on velocity transformation in the polar coordinate system of theoretical mechanics,the position coordinates and velocities of each bench under various equidistant spirals are analyzed and derived.Then a planar rigid body collision detection model is established to identify potential collisions between benches,with the binary search algorithm employed to determine the minimum pitch required to prevent collisions before entering the turning zone.Geometric analysis proves that the turning curve length remains constant,thereby the spiraling-in and spiraling-out trajectories for the dragon dance team is determined.Finally,a single-objective optimization model for maximum dragon head velocity is developed,and the binary search algorithm is used to calculate the maximum achievable velocity of the dragon head.关键词
等距螺线/极坐标系/速度变换/二分搜索算法/单目标优化模型/"板凳龙"Key words
equidistant spirals/polar coordinate system/velocity transformation/binary search algorithm/single-objective optimization model/"Bench Dragon"分类
数理科学引用本文复制引用
王吉彬,倪力赟,于明硕.."板凳龙"的螺线运动分析与求解[J].南通职业大学学报,2025,39(1):60-64,93,6.基金项目
江苏省教育厅省高校面上项目(24KJB520033) （24KJB520033）
南通大学2023年度教学改革研究课题(2023C07) （2023C07）
