Continuum robots have excited increasing attention and efforts from the robotic community due to their high dexterity and safety. This paper proposes a design for a type of multimodule continuum robot equipped with an elastic backbone structure and tendon-driven actuation system. The kinematic model of the robot is formulated where the maximum bending angle of a module is obtained by identifying the interference between the backbone structure and the tendons. A superposition method is then used to determine the configuration space of the robotic module. Finally, an approximation method is presented to estimate the workspace of the tendon-driven continuum robot that reduces the computational complexity in comparison with the previously used scanning method. Experiments are provided to validate the proposed methods.

References

References
1.
Burgner-Kahrs
,
J.
,
Rucker
,
D. C.
, and
Choset
,
H.
,
2015
, “
Continuum Robots for Medical Applications: A Survey
,”
IEEE Trans. Rob.
,
31
(
6
), pp.
1261
1280
.
2.
Hannan
,
M. W.
, and
Walker
, I
. D.
,
2003
, “
Kinematics and the Implementation of an Elephant’s Trunk Manipulator and Other Continuum Style Robots
,”
J. Rob. Syst.
,
20
(
2
), pp.
45
63
.
3.
Gravagne
, I
. A.
,
Rahn
,
C. D.
, and
Walker
, I
. D.
,
2003
, “
Large Deflection Dynamics and Control for Planar Continuum Robots
,”
IEEE/ASME Trans. Mechatron.
,
8
(
2
), pp.
299
307
.
4.
Kapoor
,
A.
,
Simaan
,
N.
, and
Taylor
,
R. H.
,
2005
, “
Suturing in Confined Spaces: Constrained Motion Control of a Hybrid 8-DoF Robot
,”
12th International Conference on Advanced Robotics
(
ICAR
), Seattle, WA, July 18–20, pp.
452
459
.
5.
Yang
,
J.
,
Jason
,
P.
, and
Abdel-Malek
,
K.
,
2006
, “
A Hyper-Redundant Continuous Robot
,”
IEEE International Conference on Robotics and Automation
(
ICRA
), Orlando, FL, May 15–19, pp.
1854
1859
.
6.
Yoon
,
H. S.
, and
Yi
,
B. J.
,
2009
, “
A 4-DOF Flexible Continuum Robot Using a Spring Backbone
,”
International Conference on Mechatronics and Automation
(
ICMA
), Changchun, China, Aug. 9–12, pp.
1249
1254
.
7.
Watanabe
,
H.
,
Kanou
,
K.
,
Kobayashi
,
Y.
, and
Fujie
,
M. J.
,
2011
, “
Development of a ‘Steerable Drill’ for ACL Reconstruction to Create the Arbitrary Trajectory of a Bone Tunnel
,”
IEEE/RSJ International Conference on Intelligent Robots and Systems
(
IROS
), San Francisco, CA, Sept. 25–30, pp.
955
960
.
8.
Jones
,
B. A.
, and
Walker
,
I. D.
,
2006
, “
Kinematics for Multisection Continuum Robots
,”
IEEE Trans. Rob.
,
22
(
1
), pp.
43
55
.
9.
Xu
,
K.
, and
Simaan
,
N.
,
2010
, “
Analytic Formulation for Kinematics, Statics, and Shape Restoration of Multibackbone Continuum Robots Via Elliptic Integrals
,”
ASME J. Mech. Rob.
,
2
(
1
), p. 011006.
10.
Xu
,
K.
,
Goldman
,
R. E.
,
Ding
,
J.
,
Allen
,
P. K.
,
Fowler
,
D. L.
, and
Simaan
,
N.
,
2009
, “
System Design of an Insertable Robotic Effector Platform for Single Port Access (SPA) Surgery
,”
IEEE/RSJ International Conference on Intelligent Robots and Systems
(
IROS
), St. Louis, MO, Oct. 10–15, pp.
5546
5552
.
11.
Burgner-Kahrs
,
J.
,
Gilbert
,
H. B.
,
Granna
,
J.
,
Swaney
,
P. J.
, and
Webster
,
R. J.
,
2014
, “
Workspace Characterization for Concentric Tube Continuum Robots
,”
IEEE/RSJ International Conference on Intelligent Robots and Systems
(
IROS
), Chicago, IL, Sept. 14–18, pp.
1269
1275
.
12.
Hu
,
H.
,
Wang
,
P.
,
Zhao
,
B.
,
Li
,
M.
, and
Sun
,
L.
,
2009
, “
Design of a Novel Snake-Like Robotic Colonoscope
,”
IEEE International Conference on Robotics and Biomimetics
(
ROBIO
), Guilin, China, Dec. 19–23, pp.
1957
1961
.
13.
Niku
,
S. B.
,
2001
,
Introduction to Robotics: Analysis, Systems, Applications
,
Prentice Hall
,
Englewood Cliffs, NJ
.
14.
Gao
,
B.
,
Zhao
,
J.
,
Xi
,
N.
, and
Xu
,
J.
,
2011
, “
Combined Kinematic and Static Analysis of a Cable-Driven Manipulator With a Spring Spine
,”
IEEE International Conference on Robotics and Automation
(
ICRA
), Shanghai, China, May 9–13, pp.
2725
2730
.
15.
Webster
,
R. J.
, and
Jones
,
B. A.
,
2010
, “
Design and Kinematic Modeling of Constant Curvature Continuum Robots: A Review
,”
Int. J. Rob. Res.
,
29
(
13
), pp.
1661
1683
.
16.
Craig
,
J. J.
,
2004
,
Introduction to Robotics: Mechanics and Control
,
3rd ed.
,
Pearson Education
,
Upper Saddle River, NJ
.
17.
MATLAB Help Files
,
2006
, “
Ode45
,” Mathworks, Cambridge, MA, accessed Oct. 20, 2016, http://www.mathworks.com/help/matlab/ref/ode45.html
18.
MATLAB Help Files
,
2014
, “
Boundary
,” Mathworks, Cambridge, MA, accessed Dec. 10, 2016, http://www.mathworks.com/help/matlab/ref/boundary.html
19.
Abdel-Malek
,
K.
,
Yeh
,
H. J.
, and
Othman
,
S.
,
2000
, “
Interior and Exterior Boundaries to the Workspace of Mechanical Manipulators
,”
Rob. Comput.-Integr. Manuf.
,
16
(
5
), pp.
365
376
.
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