Stiffness Characteristics of Carton Folds for Packaging

Recent studies for packaging using cartons have modeled carton folds as equivalent mechanisms by considering creases as revolute joints and panels as links. This raises the interest in the study of stiffness characteristics of creases, which have a variable stiffness in contrast to a constant stiffness of a revolute joint and subsequently that of a whole carton fold. This paper investigates the stiffness characteristics of creases and reveals for the first time the folding motion and moment diagram in carton manipulation. Three characteristic stages were provided to characterize the crease stiffness, which has a variable value during carton manipulation. The paper further investigates the integrated stiffness of a combination joint and develops the integrated stiffness of a complete carton fold. The study is then extended to the integrated stiffness of a type of carton folds.

[1]  J. R. Jones,et al.  Null–space construction using cofactors from a screw–algebra context , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[2]  Kazem Kazerounian,et al.  Hybrid Target Tracking Manipulation Theories for Combined Force and Position Control in Open and Closed Loop Manipulators , 2005 .

[3]  Larry L. Howell,et al.  Compliant Joint Design Principles for High Compressive Load Situations , 2005 .

[4]  Kazem Kazerounian,et al.  Target Tracking Manipulation Theories for Combined Force and Position Control in Open and Closed Loop Manipulators , 2007 .

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

[6]  Shih Hsi Tong Design of High-Stiffness Five-Bar and Seven-Bar Linkage Structures by Using the Concept of Orthogonal Paths , 2006 .

[7]  Jian S. Dai,et al.  Compliance Analysis of a Three-Legged Rigidly-Connected Platform Device , 2006 .

[8]  Rafal Zbikowski,et al.  Four-Bar Linkage Mechanism for Insectlike Flapping Wings in Hover: Concept and an Outline of Its Realization , 2005 .

[9]  Hong-Sen Yan,et al.  Topological Representations and Characteristics of Variable Kinematic Joints , 2006 .

[10]  Sunil K. Agrawal,et al.  Design and Optimization of a Mechanism for Out-of-Plane Insect Winglike Motion With Twist , 2005 .

[11]  Jian S. Dai,et al.  Carton manipulation analysis using configuration transformation , 2002 .

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

[13]  Devin J. Balkcom,et al.  Introducing robotic origami folding , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[14]  Sunil K. Agrawal,et al.  Biomedical Assist Devices and New Biomimetic Machines—A Short Perspective , 2005 .

[15]  Joseph C. Musto,et al.  Computation of member stiffness in the design of bolted joints , 2006 .

[16]  Ernest Otto Doebelin,et al.  Measurement Systems Application and Design , 1966 .

[17]  Jian S. Dai,et al.  Kinematics and mobility analysis of carton folds in packing manipulation based on the mechanism equivalent , 2002 .

[18]  Joseph S. B. Mitchell,et al.  Continuous foldability of polygonal paper , 2004, CCCG.

[19]  J. R. Jones,et al.  Matrix Representation of Topological Changes in Metamorphic Mechanisms , 2005 .