Promotion of a No Fit Polygon Algorithm Based on Trajectory

doi:10.16183/j.cnki.jsjtu.2020.208

Abstract

Abstract:

The nesting problem is how to nest objects of a specified shape in a two-dimensional space to obtain the maximum space utilization rate, which is of great significance in industrial production. The solution to the nesting problem requires frequent cross-checking of the objects to determine whether the nesting position is legal. The No Fit Polygon algorithm can be used to accelerate the procedure of cross-checking, but the algorithm cannot be used to calculate shapes containing curves, which limits its application. An algorithm based on orbit sliding can calculate No Fit Polygon between shapes which includes arc, but its effectiveness is not satisfactory. Aimed at this problem, and based on trajectory algorithm, the trajectory generation strategy and the profile algorithm are analyzed and improved. The improved algorithm can calculate the No Fit Polygon between shapes containing arc in a shorter time, solving both accuracy and effectiveness problems. Finally, the algorithm is tested in the real punch production process and the results of the test confirms the correctness and effectiveness of the algorithm.

Key words: No Fit Polygon, trajectory algorithm, nesting problem

CLC Number:

TP391

ZHOU Xin, LAI Xiaoyang, MENG Xiangqun, WANG Kun, TANG Houjun. Promotion of a No Fit Polygon Algorithm Based on Trajectory[J]. Journal of Shanghai Jiao Tong University, 2021, 55(5): 536-543.

Figures/Tables 15

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多边形类别	临界多边形	运行时间/ms		优化效率/%
多边形类别	临界多边形	轨迹线算法	移动碰撞法	优化效率/%
简单凸多边形		0.47	0.55	15.5
凹多边形		9.15	11.21	18.4
扳手		50.91	67.25	24.3
齿轮		167.03	267.68	37.6

序号	板料类型	套料用时/ms		效率提升/%
序号	板料类型	临界多边形相交校验	常规相交校验	效率提升/%
1	眼子料	145.32	208.92	30.5
2	板料(窄)	208.73	391.41	46.7
3	板料(宽)	448.27	1013.15	55.8

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