Carton manipulation analysis using configuration transformation

Abstract This paper investigates the folding process of packaging cartons and characterizes the manipulation of automatic carton folding by converting the problem into that of a motion sequence of an equivalent, metamorphic mechanism. The mechanism makes an analogy with a carton by taking carton creases as joints and carton panels as links. Hence the mechanism analysis can be applied to carton motion study, the loop can be analysed using the graph theory and the active guiding joints can be identified using the adjacency matrix. The folding sequence is thus produced and a general representation of carton manipulation is presented with a hereditary connectivity matrix and a configuration matrix. The methodology and algorithm are applied to an origami-type carton folding with simulation.

[1]  Liang Lu,et al.  Folding cartons with fixtures: a motion planning approach , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[2]  H.J.J. Kals,et al.  The generation of bending sequences in a CAPP system for sheet-metal components , 1994 .

[3]  Matthew T. Mason,et al.  Parts orienting with shape uncertainty , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[4]  D. R. Kerr,et al.  Finite Twist Mapping and its Application to Planar Serial Manipulators with Revolute Joints , 1995 .

[5]  Liang Lu,et al.  Folding cartons with fixtures: a motion planning approach , 1999, IEEE Trans. Robotics Autom..

[6]  J. A. Bondy,et al.  Graph Theory with Applications , 1978 .

[7]  Cheng-Hua Wang.  Manufacturability-Driven Decomposition of Sheet Metal Products , 1997 .

[8]  J. Dai,et al.  Mobility in Metamorphic Mechanisms of Foldable/Erectable Kinds , 1998 .

[9]  V. P Agrawal,et al.  Identification of kinematic chains, mechanisms, path generators and function generators using min codes , 1987 .

[10]  Trevor H. Davies,et al.  An extension of Manolescu's classification of planar kinematic chains and mechanisms of mobility M ⩾ 1, using graph theory , 1968 .

[11]  Jian S. Dai,et al.  Stiffness characteristics and kinematics analysis of two-link elastic underactuated manipulators , 2002, J. Field Robotics.

[12]  Moshe Shpitalni,et al.  Two-Stage Algorithm for Determination of the Bending Sequence in Sheet Metal Products , 1997 .

[13]  Jean-Claude Latombe,et al.  Robot motion planning , 1970, The Kluwer international series in engineering and computer science.

[14]  Jian S. Dai,et al.  Geometric Analysis and Optimization of a Symmetrical Watt Six-Bar Mechanism , 1991 .

[15]  Jian S. Dai,et al.  Orientation capability of planar serial manipulators using rotatability analysis based on workspace decomposition , 2002 .

[16]  Kamal K. Gupta,et al.  Motion planning for many degrees of freedom: sequential search with backtracking , 1995, IEEE Trans. Robotics Autom..

[17]  Jian S. Dai,et al.  Interrelationship between screw systems and corresponding reciprocal systems and applications , 2001 .

[18]  Jian S. Dai,et al.  Configuration Transformations in Metamorphic Mechanisms of Foldable/Erectable Kinds , 1999 .

[19]  P. Coiffet.  Modelling and Control , 1983 .