Computation of interferences between three-dimensional objects and the optimal packing problem

Jerry L. Udy, Richard J. Balling, Steven E. Benzley, Mark D. Landon
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引用次数: 9

Abstract

The related problems of computing the separation/interference distance between two three-dimensional objects and clearance/protrusion distance between an object and a container wall occur frequently in industry. A method for computing these distances by solving appropriate optimization problems is presented. The method can treat three-dimensional objects with curved sides. The problem of optimally packing objects into a container is also discussed. The packing problem is also solved as an optimization problem The separation/interference and clearance/protrusion problems become subproblems to the packing problem. Examples are presented in the paper.

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三维物体间干涉的计算及最优填充问题
计算两个三维物体之间的分离/干涉距离和物体与容器壁之间的间隙/突出距离的相关问题在工业中经常出现。提出了一种通过求解适当的优化问题来计算这些距离的方法。该方法可以处理具有曲面的三维物体。讨论了将物体最优地装入容器的问题。填料问题也作为优化问题来解决,分离/干涉和间隙/突出问题成为填料问题的子问题。文中给出了实例。
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