Abstract:
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As one of the common methods used in solving the two-dimensional cutting stock problems,the vertex algo- rithm has been widely carried out in the actual mechanical manufacture.The key of vertex algorithm is picking up rela- tive sides and tangency points based on the relation between points and sides,which has limitation in solving the prob- lem of optimal layout of patterns with curving sides.Based on the basic principle of the vertex algorithm and the meth- od of picking up collision points in the collision algorithm,a new way was developed to improve the vertex algorithm in solving the problems of patterns with curving sides along the outline.The relative sides were classified in three situa- tions:line-circle tangeney,circle-circle eirumscribing and circle-circle internal tangency by this method.The test result shows that the application scope of vertex algorithm is expanded and the accuracy of layout is increased.
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Reference:
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