This paper looks at a class of mechanisms that change structure when erected or folded. The class includes a variety of artefacts and decorative gifts and boxes comprised of flat card creased to enable the folding or unfolding of a structure. Such a structure admits kinematic study in keeping with theory of mechanisms when the creases are treated as hinges joining card and paper panels treated as links. New horizons have been brought up in the use and mechanised manufacture of mechanisms of this kind. Here typical types are described in terms of their fundamental parts and their equivalent mechanisms. Screw system theory is brought into the analysis of mechanisms of these kinds, particularly those containing multiple loops. Different geometry and system combinations are used for the study of mobility and kinematics making use of the result from the equivalent screw systems.

Issue Section:
Research Papers
Topics:
Mechanical admittance, Kinematics, Screws, Geometry, Hinges, Joining, Systems theory
1.
Brand, L., 1947, Vector and Tensor Analysis, John Wiley & Sons, New York.
2.
Boden
H.
,
1961
, “
Zum Zwanglauf gemischt raumlich ebener Getriebe
,”
Mashinenbautechnik
(Getriebetechnik), Vol.
11
, pp.
612
–
615
.
3.
Chew, M., and Ho, M. T., 1996, “Analysis of Latching Systems in Deployers of Deployable Structures Using Generalized Yale Lock and Sequential Logic,” 24th ASME Biennial Mechanisms Conference.
4.
Costabile, V., Lumaca, F., etc., 1996, “New Antenna Deployment, Pointing and Supporting Mechanism,” Proc. 30th Aerospace Mechanisms Symposium, NASA Conference Publication 3328. pp. 65–76. California.
5.
Cundy, H. M., and Rollett, A. P., 1951, Mathematical Models, Tarquin Publications, Reprint 1981.
6.
Dai
J. S.
,
Holland
N.
, and
Kerr
D. R.
,
1995
, “
Finite Twist Mapping and Its Application to Planar Serial Manipulators With Revolute Joints
,”
Journal of Mechanical Engineering Science
, Proceedings of I. Mech. E, Part C, v
209
, n
C4
, pp.
263
–
272
.
7.
Dai, J. S., Holland, N., and Kerr, D. R., 1996, “Task-Oriented Direct Synthesis of Serial Manipulators Using Moment Invariant,” Proceedings of the 24th ASME Mechanisms Conference, Irvine, California, Aug. 19–22.
8.
Dai, J. S., and Rees-Jones, J., 1997a, “New Configuration Model of Cartons and Their Operation,” Science and Technology Report, PS 97 0066, Unilever Research.
9.
Dai, J. S., and Rees-Jones, J., 1997b, “Structure and Mobility of Cartons in Cartoning Process,” Science and Technology Report, PS 97 0067, Unilever Research.
10.
Dai, J. S., and Rees-Jones, J., 1997c, “Theory on Kinematic Synthesis and Motion Analysis of Cartons,” Science and Technology Report, PS 97 0184, Unilever Research, April.
11.
Hunt, K. H., 1959, Mechanisms and Motion, The English Universities Press Ltd, London.
12.
Hunt
K. H.
,
1967
, “
Screw Axes and Mobility in Spatial Mechanisms via the Linear Complex
,”
Journal of Mechanisms
, Vol.
3
, pp.
307
–
327
.
13.
Hunt, K. H., 1978, Kinematic Geometry of Mechanisms, Clarendon Press, Oxford.
14.
Kuramasu, R., Inoue, K., etc., 1995, “Development of Mechanism to Extend the Solar Array Paddle for the Advanced Earth Observing Satellite (ADEOS),” Proc. of Sixth European Space Mechanisms & Tribology Symposium, pp. 73–80. Zurich.
15.
Kutzback, K., 1937, “Quer-und Winkelbewegliche Gleichganggelenke fur Wellenleitunger,” Z. VDI., Bd. 81, pp. 889–892.
16.
Pellegrino
S.
, and
You
Z.
,
1996
, “
Cable-Stiffened Pantographic Deployable Structures Part 1: Triangular Mast
,”
AIAA Journal
, Vol.
34
, No.
4
, pp.
813
–
820
.
17.
Rees Jones, J., 1987, “Cross Coordinate Control of Robot Manipulators,” Proc of Int Workshop on Nuclear Robotic Technologies and Applications, Present and Future, UK.
18.
Rossner, W., “Zur strukturellen Ordnung der Getriebe,” 1961, Wissenschaft, Techn. University Dresden, Vol. 10, pp. 1101–1115.
19.
Shahnipoor, M., 1993, “An Introduction to Smart Fractal Structures and Mechanisms,” ASME 14th Biennial Conference on Mechanical Vibration and Noise, Proc DE-Vol. 58, pp. 67–74.
20.
Spence, B. R., and Sword, L. F., 1996, “Mars Pathfinder Rover Egress Deployable Ramp Assembly,” 30th Aerospace Mechanisms Symposium, NASA.
21.
Suh, C. H., and Radcliffe, C. W., 1978, Kinematics and Mechanisms Design, John Wiley & Sons, New York.
22.
Takamatsu
K. A.
, &
Onoda
J.
,
1991
, “
New Deployable Truss Concepts for Large Antenna Structures or Solar Concentrators
,”
Journal of Spacecraft and Rockets
, Vol.
28
, No.
3
, pp.
330
–
338
, June.
23.
Waldron
K. J.
,
1966
, “
The Constraint Analysis of Mechanisms
,”
Journal of Mechanisms
, Vol.
1
, pp.
101
–
114
.
24.
Waldron
K. J.
,
1967
, “
A Family of Overconstrained Linkages
,”
Journal of Mechanisms
, Vol.
2
, pp.
201
–
211
.
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