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| The numerical simulation of unequal circles random stacking of rectangular regions |
| Received:November 06, 2015 Revised:February 24, 2016 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201701008 |
| KeyWord:NP hard problem circle Packing problem random stacking numerical simulation finite element |
| Author | Institution |
| 宋来忠 |
三峡大学 理学院, 宜昌 |
| 廖大乾 |
三峡大学 理学院, 宜昌 |
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| 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 |
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