Abstract

Emerging fields like Compact Compliant Mechanisms have created newer/novel situations for application of straight line mechanisms. Many of these situations in Automation and Robotics are multidisciplinary in nature. Application Engineers from these domains are many times uninitiated in involved procedures of synthesis of mechanisms and related concepts of Path Curvature Theory. This paper proposes a predominantly graphical approach using properties of Inflection Circle (IC) to synthesize a crank rocker mechanism for tracing a coupler curve which includes the targeted straight line path. The generated approximate straight line path has acceptable deviation in length, orientation, and extent of approximate nature well within the permissible ranges. Generation of multiple choices for the link geometry is unique to this method. To ease the selection, a trained artificial neural network (ANN) is developed to indicate relative length of various options generated. Using studied unique properties of Inflection Circles a methodology for anticipating the orientation of the straight path vis-à-vis the targeted path is also included. Two straight line paths are targeted for two different crank rockers. Compared with the existing practice of selecting the mechanism with some compromise due to inherent granularity of the data in Atlases, proposed methodology helps in indicating the possibility of completing the dimensional synthesis. The developed solution is well within the design specifications and is without a compromise.

References

1.
Breteler
,
A. J. K.
,
2004
,
Lecture Notes on Mechanisms (wb3303)
,
TUDelft
,
Delft, The Netherlands
.
2.
Nolle
,
H.
,
1974
, “
Linkage Coupler Curve Synthesis: A Historical Review-II. Developments After 1875
,”
Mech. Mach. Theory
,
9
(
3–4
), pp.
325
348
.
3.
Zhao
,
K.
, and
Schmiedeler
,
J. P.
,
2016
, “
Using Rigid-Body Mechanism Topologies to Design Path Generating Compliant Mechanisms
,”
ASME J. Mech. Rob.
,
8
(
1
), p.
014506
.
4.
Liu
,
Y.
, and
Xu
,
Q.
,
2016
, “
Mechanical Design, Analysis and Testing of a Large-Range Compliant Microgripper
,”
Mech. Sci.
,
7
(
1
), pp.
119
126
.
5.
Hricko
,
J.
, and
Havlík
,
S.
,
2020
,
RAAD 2019, AISC 980
,
K.
Berns
, and
D.
Görges
, eds.,
Springer Nature Switzerland AG
,
Midtown Manhattan, New York City
, pp.
26
33
.
6.
Hricko
,
J.
,
2014
, “Straight-Line Mechanisms as One Building Element of Small Precise Robotic Devices,”
Industrial and Service Robotics
,
M.
Hajduk
, and
L.
Kaukolova
, eds.,
Trans Tech Publications Ltd.
,
Switzerland
, pp.
96
101
.
7.
Hricko
,
J.
,
2015
, “
Design of Compliant Micro-Stage Based on Peaucellier–Lipkin Straight-Line Mechanism
,”
23rd International Conference on Robotics in Alpe-Adria-Danube Region (RAAD)
,
Smolenice, Slovakia
,
Sept. 3–5, 2014
.
8.
Hrones
,
J. A.
, and
Nelson
,
G. L.
,
1951
,
Analysis of the Four-Bar Linkage—Its Application to the Synthesis of Mechanisms
,
The Technology Press of MIT and John Wiley & Sons
,
New York
.
9.
Zhang
,
C.
,
Norton
,
R. L.
, and
Hammond
,
T.
,
1984
, “
Optimization of Parameters for Specified Path Generation Using an Atlas of Coupler Curves of Geared Five-Bar Linkages
,”
Mech. Mach. Theory
,
19
(
6
), pp.
459
466
.
10.
Figliolini
,
G.
,
Conte
,
M.
, and
Rea
,
P.
,
2012
, “
Algebraic Algorithm for the Kinematic Analysis of Slider-Crank/Rocker Mechanisms
,”
ASME J. Mech. Rob.
,
4
(
1
), p.
011003
.
11.
Wu
,
J.
,
Ge
,
Q. J.
,
Su
,
H.
, and
Gao
,
F.
,
2013
, “
Kinematic Acquisition of Geometric Constraints for Task-Oriented Design of Planar Mechanisms
,”
ASME J. Mech. Rob.
,
5
(
2
), p.
011003
.
12.
Cabrera
,
J. A.
,
Simon
,
A.
, and
Prado
,
M.
,
2002
, “
Optimal Synthesis of Mechanisms With Genetic Algorithms
,”
Mech. Mach. Theory
,
37
(
10
), pp.
1165
1177
.
13.
Liu
,
Y.
, and
McPhee
,
J.
,
2005
, “
Automated Type Synthesis of Planar Mechanisms Using Numeric Optimization With Genetic Algorithms
,”
Trans. ASME
,
127
(
5
), pp.
910
916
.
14.
Olson
,
D. G.
,
Erdman
,
A. G.
, and
Riley
,
D. R.
,
1985
, “
A Systematic Procedure for Type Synthesis of Mechanisms With Literature Review
,”
Mech. Mach. Theory
,
20
(
4
), pp.
285
295
.
15.
Oliva
,
J. C.
, and
Goodman
,
E. D.
,
2010
, “
Simultaneous Type and Dimensional Synthesis of Planar 1DOF Mechanisms Using Evolutionary Search and Convertible Agents (DETC2009-86722)
,”
ASME J. Mech. Rob.
,
2
(
3
), p.
031001
.
16.
Koetsier
,
T.
,
1986
, “
From Kinematically Generated Curves to Instantaneous Invariants: Episodes in the History of Instantaneous Planar Kinematics
,”
Mech. Mach. Theory
,
21
(
6
), pp.
489
498
.
17.
Tesar
,
D.
,
1964
, “
The Analytical Theory of Coplanar Motion Applied to Approximate Four-Bar Straight Line Mechanisms
,”
Ph.D. dissertation
,
Georgia Institute of Technology
.
18.
Dijksman
,
E. A.
,
1972
, “
Approximate Straight-Line Mechanisms Through Four-Bar Linkages
,”
Romanian J. Tech. Sci.: Appl. Mech.
,
17
(
2
), pp.
319
372
.
19.
Simon
,
J. M.
,
1977
, “
Computerized Synthesis of Straight-Line Four-Bar Linkages From Inflection Circle Properties
,”
J. Eng. Ind.: Trans. ASME
,
99
(
3
), pp.
610
614
.
20.
Krishnamoorthy
,
S.
, and
Kothadiya
,
A. J.
,
1987
, “
Intersecting Inflection Circles in Adjustable Mechanisms
,”
Mech. Mach. Theory
,
22
(
2
), pp.
107
114
.
21.
Kothadiya
,
A. J.
, and
Krishnamoorthy
,
S.
,
1989
, “
Intersecting Inflection Circles in Four Bar Mechanisms Adjustable for Velocities
,”
Mech. Mach. Theory
,
24
(
6
), pp.
527
540
.
22.
Pennock
,
G. R.
, and
Kinzel
,
E. C.
,
2004
, “
Graphical Technique to Locate the Center of Curvature of a Coupler Point Trajectory
,”
Trans. ASME
,
126
(
6
), pp.
1000
1005
.
23.
Pennock
,
G. R.
, and
Kinzel
,
E. C.
,
2004
, “
Path Curvature of the Single Flier Eight-Bar Linkage
,”
Trans. ASME
,
126
(
3
), pp.
470
475
.
24.
Moreno
,
J. T.
,
Fernández
,
A.
,
Carbone
,
G.
, and
Ceccarelli
,
M.
,
2015
, “
Kinematic and Dynamic Analysis of Old Mechanism by Modern Means
,”
The 14th IFToMM World Congress
,
Taipei, Taiwan
,
Oct. 25–30
, pp.
274
280
.
25.
Norton
,
R. L.
,
2008
,
Design of Machinery
,
McGraw-Hill
,
New York
.
26.
Lan
,
Z.
,
Huijun
,
Z.
, and
Liuming
,
L.
,
2002
, “
Kinematic Decomposition of Coupler Plane and the Study on the Formation and Distribution of Coupler Curves
,”
Mech. Mach. Theory
,
37
(
1
), pp.
115
126
.
27.
Shiwalkar
,
P. B.
,
Moghe
,
S. D.
,
Shiwalkar
,
J. P.
, and
Modak
,
J. P.
,
2019
, “Inflection Circle Based Approach to Synthesis of Approximate Straight Line Mechanisms,”
Advances in Mechanism and Machine Science
,
T.
Uhl
, ed., pp.
1557
1566
.
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