Abstract

For customized design of a hybrid manipulator for a specific application, selection of an appropriate configuration is always a challenge. To assist in this foremost decision in data-driven synthesis, a novel approach is proposed for modular formation of quick configurations. Majorly, a unified methodology is presented for the development of respective kinematic models and differential relations for their performance analyses. This unified modular approach utilizes modular primitives to define planar hybrid configurations. Three types of primitives are introduced as modular components, and the pattern study is detailed. Modeling results from the proposed approach are also compared with normally used partial differentiation with respect to the computational efforts, streamlined modular implementations, and applicability in optimal design approaches. The comparison highlights how the column-wise approach is appropriate for modular methodology. The strategy will help a designer as a tool for analyzing several configurations. Two realistic case studies are demonstrated in this article for application of the methodology in the medical robotics field.

References

1.
Tanev
,
T. K.
,
2000
, “
Kinematics of a Hybrid (Parallel–Serial) Robot Manipulator
,”
Mech. Mach. Theory.
,
35
(
9
), pp.
1183
1196
. 10.1016/S0094-114X(99)00073-7
2.
Luo
,
Z.
, and
Dai
,
J.
,
2006
, “
Geometric Analysis and Characteristics of a Three-Fixed-Pivoted Multi-phalanx Robotic Finger
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
220
(
7
), pp.
1075
1082
. 10.1243/09544062JMES209
3.
Li
,
X.
,
Ge
,
X.
,
Purwar
,
A.
, and
Ge
,
Q.
,
2015
, “
A Unified Algorithm for Analysis and Simulation of Planar Four-Bar Motions Defined With R-and P-joints
,”
ASME J. Mech. Rob.
,
7
(
1
), p.
011014
. 10.1115/1.4029295
4.
Wang
,
L.
,
Wang
,
J.
,
Li
,
Y.
, and
Lu
,
Y.
,
2003
, “
Kinematic and Dynamic Equations of a Planar Parallel Manipulator
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
217
(
5
), pp.
525
531
. 10.1243/095440603765226812
5.
Wu
,
J.
,
Wang
,
J.
,
Wang
,
L.
, and
Shao
,
H.
,
2008
, “
Dimensional Synthesis and Dynamic Manipulability of a Planar Two-Degree-of-Dreedom Parallel Manipulator
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
222
(
6
), pp.
1061
1069
. 10.1243/09544062JMES830
6.
Romero
,
N. N.
,
Campos
,
A.
,
Martins
,
D.
, and
Vieira
,
R. S.
,
2019
, “
A New Approach for the Optimal Synthesis of Four-Bar Path Generator Linkages
,”
SN Appl. Sci.
,
1
(
11
), p.
1504
. 10.1007/s42452-019-1511-3
7.
Luo
,
Z.
, and
Dai
,
J. S.
,
2004
, “
Kinematic Analysis and Stiffness Characteristics of a Hybrid 2-dof 7-Bar Linkage
,”
ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Salt Lake City, UT
,
Sept. 28–Oct. 2
,
American Society of Mechanical Engineers
, pp.
205
213
.
8.
Kim
,
J.
,
2006
, “
Task Based Kinematic Design of a Two Dof Manipulator With a Parallelogram Five-Bar Link Mechanism
,”
Mechatronics
,
16
(
6
), pp.
323
329
. 10.1016/j.mechatronics.2006.01.004
9.
Orlando
,
M. F.
,
Akolkar
,
H.
,
Dutta
,
A.
,
Saxena
,
A.
, and
Behera
,
L.
,
2010
, “
Optimal Design and Control of a Hand Exoskeleton
,”
2010 IEEE Conference on Robotics, Automation and Mechatronics
,
Singapore
,
June 28–30
,
IEEE
, pp.
72
77
.
10.
Singh
,
A.
,
Singla
,
A.
, and
Soni
,
S.
,
2014
, “
Dh Parameters Augmented With Dummy Frames for Serial Manipulators Containing Spatial Links
,”
2014 RO-MAN: The 23rd IEEE International Symposium on Robot and Human Interactive Communication
,
Heriot-Watt University, Edinburgh Scotland
,
Aug. 25
,
IEEE
, pp.
975
980
.
11.
Lu
,
Y.
,
Hu
,
B.
, and
Yu
,
J.
,
2009
, “
Analysis of Kinematics/Statics and Workspace of a 2 (sp+ Spr+ Spu) Serial-Pparallel Manipulator
,”
Multibody Syst. Dyn.
,
21
(
4
), pp.
361
374
. 10.1007/s11044-009-9145-7
12.
Zeng
,
Q.
,
Fang
,
Y.
, and
Ehmann
,
K. F.
,
2011
, “
Design of a Novel 4-dof Kinematotropic Hybrid Parallel Manipulator
,”
ASME J. Mech. Des.
,
133
(
12
), p.
121006
. 10.1115/1.4005233
13.
Saxena
,
A.
, and
Ananthasuresh
,
G.
,
2003
, “
A Computational Approach to the Number of Synthesis of Linkages
,”
ASME J. Mech. Des.
,
125
(
1
), pp.
110
118
. 10.1115/1.1539513
14.
Figliolini
,
G.
, and
Pennestrì
,
E.
,
2015
, “
Synthesis of Quasi-Constant Transmission Ratio Planar Linkages
,”
ASME J. Mech. Des.
,
137
(
10
), p.
102301
. 10.1115/1.4031058
15.
Ge
,
Q.
,
Purwar
,
A.
,
Zhao
,
P.
, and
Deshpande
,
S.
,
2017
, “
A Task-Driven Approach to Unified Synthesis of Planar Four-Bar Linkages Using Algebraic Fitting of a Pencil of G-Manifolds
,”
ASME J. Comput. Inf. Sci. Eng.
,
17
(
3
), p.
031011
. 10.1115/detc2013-12977
16.
Zhao
,
P.
,
Li
,
X.
,
Purwar
,
A.
, and
Ge
,
Q.
,
2016
, “
A Task-Driven Unified Synthesis of Planar Four-Bar and Six-Bar Linkages With R-and P-Joints for Five-Position Realization
,”
ASME J. Mech. Rob.
,
8
(
6
), p.
061005
. 10.1115/detc2013-13168
17.
Varedi-Koulaei
,
S.
, and
Rezagholizadeh
,
H.
,
2020
, “
Synthesis of the Four-Bar Linkage as Path Generation by Choosing the Shape of the Connecting Rod
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
234
(
13
), p.
0954406220908616
. 10.1177/0954406220908616
18.
Figliolini
,
G.
,
Lanni
,
C.
, and
Kaur
,
R.
,
2019
, “
Kinematic Synthesis of Spherical Four-Bar Linkages for Five-Poses Rigid Body Guidance
,”
IFToMM World Congress on Mechanism and Machine Science
,
Krakow, Poland
,
June 30–July 4
,
Springer
, pp.
639
648
.
19.
Purwar
,
A.
,
Deshpande
,
S.
, and
Ge
,
Q.
,
2017
, “
Motiongen: Interactive Design and Editing of Planar Four-Bar Motions for Generating Pose and Geometric Constraints
,”
ASME J. Mech. Rob.
,
9
(
2
), p.
024504
. 10.1115/1.4035899
20.
Garcia-Marina
,
V.
,
de Bustos
,
I. F.
,
Urkullu
,
G.
, and
Ansola
,
R.
,
2020
, “
Optimum Dimensional Synthesis of Planar Mechanisms With Geometric Constraints
,”
Meccanica
,
55
(
11
), pp.
2135
2158
. 10.1007/s11012-020-01250-x
21.
Deshpande
,
S.
, and
Purwar
,
A.
,
2019
, “
Computational Creativity Via Assisted Variational Synthesis of Mechanisms Using Deep Generative Models
,”
ASME J. Mech. Des.
,
141
(
12
), p.
121402
. 10.1115/1.4044396
22.
Deshpande
,
S.
, and
Purwar
,
A.
,
2019
, “
A Machine Learning Approach to Kinematic Synthesis of Defect-Free Planar Four-Bar Linkages
,”
ASME J. Comput. Inf. Sci. Eng.
,
19
(
2
), p.
021004
. 10.1115/1.4042325
23.
Ricard
,
R.
, and
Gosselin
,
C.
,
1993
, “
On the Development of Hybrid Planar Manipulators
,”
Proceedings of the 36th Midwest Symposium on Circuits and Systems, 1993
,
Detroit, MI
,
Aug. 16–18
,
IEEE
, pp.
398
401
.
24.
Dasgupta
,
B.
,
2006
,
Applied Mathematical Methods
,
Pearson Education
,
India
.
You do not currently have access to this content.