计算力学学报2017，Vol.34Issue(1)：62-67,6.DOI:10.7511/jslx201701008
矩形区域不等圆形随机堆放的数值模拟
The numerical simulation of unequal circles random stacking of rectangular regions
摘要
Abstract
A number of circles stacked to be stacked to a given rectangular region,is a special class of Packing problems.Aiming at the problem of NP difficult,a fast numerical simulation method and the method of simulating mechanical test are presented.In this method,the stacked circle mechanical equilibrium rule of geometric conditions for the geometric contact with each other,a number of circles according to the gradation,the distribution law of constraint conditions of randomly stacked form a region of space.By this method get circle stacking,in the case of no external force to maintain its own stability.Using this method,at length 15 cm square,circle diameter range for 0.5 cm~4 cm,simulated the porosity is lower than 25% (area ratio) of circles stack.Finally,the finite element mesh and the mechanical loading test are carried out.The results show that it is stable.A fast numerical simulation method is provided for the further study circles stack on the meso-level.关键词
NP难问题/圆形Packing问题/随机堆放/数值模拟/有限元Key words
NP hard problem/circle Packing problem/random stacking/numerical simulation/finite element分类
信息技术与安全科学引用本文复制引用
宋来忠,廖大乾..矩形区域不等圆形随机堆放的数值模拟[J].计算力学学报,2017,34(1):62-67,6.基金项目
国家自然科学基金(11171181)资助项目. （11171181）
