›› 2017, Vol. 32 ›› Issue (6): 1162-1171.doi: 10.1007/s11390-017-1791-2

Special Issue: Computer Graphics and Multimedia

• Special Section of CAD/Graphics 2017 • Previous Articles     Next Articles

Mechanical Assembly Packing Problem Using Joint Constraints

Ming-Liang Xu1, Member, CCF, Ning-Bo Gu1, Wei-Wei Xu2,*, Member, ACM, Ming-Yuan Li1, Member, ACM, Jun-Xiao Xue3, Member, CCF, Bing Zhou1   

  1. 1 School of Information Engineering, Zhengzhou University, Zhengzhou 450000, China;
    2 State Key Laboratory of Computer Aided Design and Computer Graphics, Zhejiang University, Hangzhou 310058, China;
    3 School of Software, Zhengzhou University, Zhengzhou 450000, China
  • Received:2017-06-26 Revised:2017-10-13 Online:2017-11-05 Published:2017-11-05
  • Contact: Wei-Wei Xu E-mail:xww@cad.zju.edu.cn
  • About author:Ming-Liang Xu is a professor in the School of Information Engineering,Zhengzhou University,Zhengzhou,and currently is the director of CⅡSR (Center for Interdisciplinary Information Science Research).His research interests include computer graphics and computer vision.Xu got his Ph.D.degree in computer science and technology,Zhejiang University,Hangzhou,in 2011.
  • Supported by:

    The work was supported by the National Key Research and Development Program of China under Grant No. 2017YFC0804401, the National Natural Science Foundation of China under Grant Nos. 61472370, 61672469, 61379079, 61322204, and 61502433, the Natural Science Foundation of Henan Province of China under Grant No. 162300410262, and the Key Research Projects of Henan Higher Education Institutions of China under Grant No. 18A413002.

The three-dimensional packing problem is generally on how to pack a set of models into a given bounding box using the smallest packaging volume. It is known as an NP-hard problem. When discussing the packing problem in mechanical field, the space utilization of a mechanism is low due to the constraint of mechanical joints between different mechanical parts. Although such a situation can be improved by breaking the mechanism into components at every joint, it burdens the user when reassembling the mechanism and may also reduce the service life of mechanical parts. In this paper, we propose a novel mechanism packing algorithm that deliberately considers the DOFs (degrees of freedom) of mechanical joints. With this algorithm, we construct the solution space according to each joint. While building the search tree of the splitting scheme, we do not break the joint, but move the joint. Therefore, the algorithm proposed in this paper just requires the minimal number of splits to meet the goal of space utilization. Numerical examples show that the proposed method is convenient and efficient to pack three-dimensional models into a given bounding box with high space utilization.

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