Matrix representation of topological changes in metamorphic mechanisms

Journal of Mechanical Design

Volumn 127, Issue 4, 2005, Pages 837-840

  Dai, Jian S ^a   Jones, John Rees ^b  

^a KING'S COLLEGE LONDON   (United Kingdom)

^b NONE   (United Kingdom)

Author keywords

Adjacency matrix; Carton packaging; Configuration; Folding manipulation; Matrix operation; Metamorphic mechanism; Self adaptable mechanisms; Topological changes; Transformation

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA;

ADJACENT MATRIX; CARTON PACKAGING; FOLDING MANIPULATION; MATRIX OPERATION; METAMORPHIC MECHANISM; SELF-ADAPTABLE MECHANISMS; TOPOLOGICAL CHANGES;

KINEMATICS;

EID: 21444456529     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1866159     Document Type: Article

References (28)

1. Soroka, W., 1996, Fundamentals of Packaging Technology, edited by A. Emblem and H. Emblem, Institution of Packaging, London.
2. Grignon, P. M., and Fadel, G. M., 2004, "A GA Based Configuration Design Optimization Method," ASME J. Mech. Des., 126, pp. 6-15.
3. Cundy, H. M., and Rollett, A. P., 1951, Mathematical Models, Tarquin Publications.
4. Dai, J. S., and Rees Jones, J., 1997, "Structure and Mobility of Cartons in a Packaging Process," Science and Technology Report, PS 970067, Unilever Research.
5. Liu, H., and Dai, J. S., 2002, "Carton Manipulation Analysis Using Configuration Transformation," J. Mech. Eng. Sci., 216(C5), pp. 543-555.
6. Dai, J. S., and Rees Jones, J., 1998, "Mobility in Metamorphic Mechanisms of Foldable/Erectable Kinds," Proceedings of 25th ASME Biennial Mechanisms Conference, Atlanta also in ASME J. Mech. Des., 121(3), 1999, pp. 375-382.
7. DasGupta, A., 2004, "Mobility Analysis of a Class of RPSPR Kinematic Chains," ASME J. Mech. Des., 126, pp. 71-78.
8. McCarthy, J. M., 2000, Geometric Design of Linkage, Springer-Verlag, New York.
9. Roach, G. M., and Howell, L. L., 2002, "Evaluation and Comparison of Alternative Compliant Overrunning Clutch Designs," ASME J. Mech. Des., 124, pp. 485-491.
10. Baker, J. E., 2004, "The Closure Modes of Bennett's Twelve-Bar Planar Linkage," ASME J. Mech. Des., 126, pp. 464-469.
11. Pennock, G. R., and Kinzel, E. C., 2004, "Path Curvature of the Single Flier Eight-Bar Linkage," ASME J. Mech. Des., 126, pp. 470-477.
12. Cetin, O. L., and Saitou, K., 2004, "Decomposition-Based Assembly Synthesis for Structural Mobility," ASME J. Mech. Des., 126, pp. 234-243.
13. Cetin, O. L., and Saitou, K., 2004, "Decomposition-Based Assembly Synthesis for Maximum Structural Strength and Mobility," ASME J. Mech. Des., 126, pp. 244-253.
14. Rico Martinez, J. M., and Ravani, B., 2003, "On Mobility Analysis of Linkages Using G-roup Theory," ASME J. Mech. Des., 125, pp. 70-80.
15. Jin, Q., and Yang, T-L., 2004, "Synthesis and Analysis of a Group of 3-Degree-of-Freedom Partially Decoupled Parallel Manipulators," ASME J. Mech. Des., 126, pp. 301-306.
16. Dai, J. S., and Rees Jones, J., 1999, "Configuration Transformations in Metamorphic Mechanisms of Foldable/Erectable Kinds," Proceedings of 10th World Congress on the Theory of Machines and Mechanisms, Vol. 2, Oulu, Finland, pp. 542-547.
17. Strang, G., 1980, Linear Algebra and Its Applications, 2nd Ed., Academic, New York.
18. Gillie, A. C., 1965, Binary Arithmetic and Boolean Algebra, McGraw-Hill, New York.
19. Balli, S. S., and Chand, S., 2004, "Synthesis of a Five-Bar Mechanism of Variable Topology Type With Transmission Angle Control," ASME J. Mech. Des., 126, pp. 128-134.
20. Ekiguchi, K., 1988, The Book of Boxes, Kodansha International, New York.
21. Dai, J. S., and Rees Jones, J., 2002, "Kinematics and Mobility Analysis of Carton Folds in Packing Manipulation," J. Mech. Eng. Sci., 216 (C10), pp. 959-970.
22. Suh, C. H., and Radcliffe, C. W., 1978, Kinematics and Mechanisms Design, Wiley, New York.
23. Waldron, K. J., 1966, "The Constraint Analysis of Mechanisms," J. Mech., 1, pp. 101-114.
24. Hum, K., 1978, Kinematic Geometry of Mechanisms, Clarendon, Oxford.
25. Li, Q. C., and Huang, Z., 2004, "Mobility Analysis of a Novel 3-5R Parallel Mechanism Family," ASME J. Mech. Des., 126, pp. 79-82.
26. Dai, J. S., and Rees Jones, J., 2001, "Interrelationship Between Screw Systems and Corresponding Reciprocal Systems and Applications," Mech. Mach. Theory, 36(5), pp. 633-651.
27. Dai, J. S., and Rees Jones, J., 2002, "Nun Space Construction Using Cofactors from a Screw Algebra Context," Proc. R. Soc. London, Ser. A, 458(2024), pp. 1845-1866.
28. Lee, C.-C., and Herve, J. M., 2002, "Discontinuous Mobility of One Family of Spatial 6R Mechanisms Through the Group Algebraic Structure of Displacement," 27th ASME Biennial Mechanisms and Robotics Conference, Montreal, Canada, 29 Sept.-2 Oct.