In the framework of developing a future space telescope, this paper focuses on a deployable hexapod equipped with tape-spring coiling devices. It describes the measurement of the platform deployment with a gravity compensation setup. The deployment modeling starts with the formulation of a phenomenological model for a single deployable coiling device. A force-elongation model is built experimentally by measuring the restoring force of such a hysteretic tape-spring actuator. Then, six actuator models are used in parallel to build a complete model of the deployable hexapod. Finally, measured and predicted platform responses are compared. A design of experiments approach highlights that disparities in the restoring force of tape-spring actuators are decisive for deployment success. A regression model is obtained to predict the hexapod’s twist behavior, which is the main indicator of deployment failure. This investigation underlines the requirement of actuator control during deployment.

1.
Berger
,
K. T.
,
Horta
,
L. G.
, and
Taleghani
,
B. K.
, 2004, “
Static Testing of an Inflatable/Rigidizable Hexapod Structure
,”
45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
, AIAA, Palm Springs, CA.
2.
Jenkins
,
C. H.
, and
Kalanovic
,
V. D.
, 2000, “
Issues in Control of Space Membrane Inflatable Structures
,”
IEEE Aerospace Conference
, Big Sky, MT, pp.
411
414
.
3.
Tibert
,
G.
, 2002, “
Deployable Tensegrity Structures for Space Applications
,” Ph.D. thesis, Royal Institute of Technology.
4.
Merlet
,
J. -P.
, 1997,
Les Robots Parallèles
,
Hermès Science
,
Paris
.
5.
Merlet
,
J. -P.
, 2006, “
Jacobian, Manipulability, Condition Number, and Accuracy of Parallel Robots
,”
ASME J. Mech. Des.
0161-8458,
128
, pp.
199
206
.
6.
Jiang
,
Q.
, and
Gosselin
,
C. M.
, 2008, “
The Maximal Singularity-Free Workspace of the Gough–Stewart Platform for a Given Orientation
,”
ASME J. Mech. Des.
1050-0472,
130
, p.
112304
.
7.
Blanchard
,
L.
,
Falzon
,
F.
,
Dupuis
,
J.
, and
Merlet
,
J. P.
, 2005, “
Deployable Hexapod Using Tape-Springs
,”
Disruption in Space, ESA/CNES Symposium
, Marseille, France.
8.
Merlet
,
J. -P.
, 1986, “
Contribution à la formalisation de la commande par retour d’effort en robotique: Application à la commande de robots parallèles
,” Ph.D. thesis, Université Paris 6.
9.
Mansfield
,
E. H.
, 1973, “
Large-Deflexion Torsion and Flexure of Initially Curved Strips
,”
Proc. R. Soc. London, Ser. A
,
334
, pp.
279
298
. 1050-0472
10.
Seffen
,
K. A.
, 1997, “
Analysis of Structures Deployed by Tape-Springs
,” Ph.D. thesis, Cambridge University.
11.
Seffen
,
K. A.
, and
Pellegrino
,
S.
, 1997, “
Deployment of a Rigid Panel by Tape-Springs
,” Department of Engineering, University of Cambridge, Technical Report No. CUED/D-STRUCT/TR 168.
12.
Hesselbach
,
J.
,
Helm
,
M. B.
,
Kerle
,
H.
,
Soetebier
,
S.
, and
Krefft
,
M.
, 2001, “
A Parallel Robot With Spread-Band Elements
,”
32nd International Symposium on Robotics
, Seoul, pp.
1731
1736
.
13.
Aridon
,
G.
,
Blanchard
,
L.
,
Rémond
,
D.
, and
Dufour
,
R.
, 2006, “
Modal Identification for Modeling a Deployed Tape-Spring Hexapod
,”
47th AIAA/ASME Structures, Structural Dynamics, and Materials Conference
, Newport.
14.
Mguil-Touchal
,
S.
,
Morestin
,
F.
, and
Brunet
,
M.
, 1997, “
Various Experimental Applications of Digital Image Correlation Method
,” CMEM 97 (Computational Methods and Experimental Measurements VIII), Rhodes, May 1997, pp.
45
58
.
15.
Dahl
,
P. R.
, 1976, “
Solid Friction Damping of Mechanical Vibration
,”
AIAA J.
,
14
(
12
), pp.
1675
1682
. 0001-1452
16.
Al Majid
,
A.
, and
Dufour
,
R.
, 2002, “
Formulation of a Hysteretic Restoring Force Model: Application to Vibration Isolation
,”
Nonlinear Dyn.
0924-090X,
27
, pp.
69
85
.
17.
Al Majid
,
A.
, and
Dufour
,
R.
, 2004, “
Harmonic Response of a Structure Mounted on an Isolator Modelled With a Hysteretic Operator: Experiments and Prediction
,”
J. Sound Vib.
,
277
, pp.
391
403
. 0022-460X
18.
Michon
,
G.
,
Manin
,
L.
, and
Dufour
,
R.
, 2005, “
Hysteretic Behavior of a Belt Tensioner: Modeling and Experimental Investigation
,”
J. Vib. Control
1077-5463,
11
(
9
), pp.
1147
1158
.
19.
Rémond
,
D.
,
Neyrand
,
J.
,
Aridon
,
G.
, and
Dufour
,
R.
, 2008, “
On the Improved Use of Chebyshev Expansion for Mechanical System Identification
,”
Mech. Syst. Signal Process.
,
22
(
2
), pp.
390
407
. 0888-3270
20.
Nashif
,
A. D.
,
Jones
,
D. I. G.
, and
Henderson
,
J. P.
, 1985,
Vibration Damping
,
Wiley
,
New York
.
21.
Aridon
,
G.
,
Al Majid
,
A.
,
Rémond
,
D.
,
Blanchard
,
L.
, and
Dufour
,
R.
, 2007, “
A Direct Dynamic Model for a Space Hexapod Deployment
,”
ASME 2007 IDETC/CIE
, Las Vegas, NV, Paper No. 2007-35299.
22.
Sado
,
G.
, and
Sado
,
M. C.
, 1991,
Les Plans d’Expériences: De l’Expérimentation à l’Assurance Qualité
,
AFNOR
,
Paris
.
23.
Montgomery
,
D. C.
, 2005,
Design and Analysis of Experiments
, 6th ed.,
Wiley
,
New York
.
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