A tabu-gradient search is herein presented for optimum synthesis of planar mechanisms. The solution generated by a recency-based, short term memory tabu search is used to start a gradient search to drive the solution ever closer to the global minimum. A brief overview of the tabu-search method is first presented. A tabu-gradient algorithm is then used to synthesize four-bar mechanisms for path generation tasks by way of three examples, including two benchmark examples used before to test other deterministic and intelligent optimization schemes. Compared with the corresponding results generated by other schemes, the tabu-gradient search rendered the most optimal solutions of all.

1.
Nolle
,
H.
, and
Hunt
,
K.
, 1971, “
Optimum Synthesis of Planar Linkages to Generate Coupler curves
,”
J. Mech.
0022-2569,
6
(
3
), pp.
267
287
.
2.
Fox
,
R. L.
, and
Gupta
,
K. C.
, 1973, “
Optimization Technology as Applied to Mechanism Design
,”
ASME J. Eng. Ind.
0022-0817, May, pp.
657
663
.
3.
Bagci
,
C.
, and
In-Ping
,
J. L.
, 1975, “
Optimum Synthesis of Plane Mechanism for the Generation of Paths and Rigid-Body Positions via the Linear Superposition Technique
,”
ASME J. Eng. Ind.
0022-0817, February, pp.
340
346
.
4.
Bagci
,
C.
, 1976, “
Optimum Synthesis of Planar Function Generators by the Linear Partition of the Dyadic Loop Equations
,”
Mech. Mach. Theory
0094-114X,
11
, pp.
33
46
.
5.
Paradis
,
M. J.
, and
Wilmert
,
K. D.
, 1983, “
Optimal Mechanism Design Using the Gauss Constrained Method
,”
ASME J. Mech., Transm., Autom. Des.
0738-0666,
105
, pp.
187
196
.
6.
Cossalter
,
V.
,
Doria
,
A.
,
Pasini
,
M.
, and
Scattlo
,
C.
, 1992, “
Simple Numerical Approach for Optimum Synthesis of a Class of Planar Mechanisms
,”
Mech. Mach. Theory
0094-114X,
27
(
3
), pp.
357
366
.
7.
Angeles
,
J.
,
Alivizatos
,
A.
, and
Akhras
,
A.
, 1998, “
Unconstrained Non-Linear Least Square Method of Optimization of RRRR Planar Path Generators
,”
Mech. Mach. Theory
0094-114X,
23
(
5
), pp.
343
353
.
8.
Yao
,
J.
, and
Angeles
,
J.
, 2000, “
Computation of All Optimum Dyads in the Approximate Synthesis of Planar Linkages for Rigid-Body Guidance
,”
Mech. Mach. Theory
0094-114X,
35
(
8
), pp.
1065
1078
.
9.
Jovanovic
,
V.
, and
Kazerounian
,
K.
, 2000, “
Optimal Design Using Chaotic Descent Method
,”
ASME J. Mech. Des.
1050-0472,
122
(
3
), pp.
265
270
.
10.
Nokleby
,
S. B.
, and
Podhorodeski
,
R. P.
, 2001, “
Optimization-Based Synthesis of Grashof’s Geared Five-Bar Mechanisms
,”
ASME J. Mech. Des.
1050-0472,
123
(
4
), pp.
529
534
.
11.
Sancibrian
,
R.
,
Viadero
,
F.
,
Garcoa
,
P.
, and
Fernandez
,
A.
, 2004, “
Gradient-based optimization of path synthesis problems in planar mechanisms
,”
Mech. Mach. Theory
0094-114X,
39
(to be published).
12.
Saxena
,
A.
,
Yin
,
L.
, and
Ananthasuresh
,
G. K.
, “
PennSyn 2.0-Enhancements to a Synthesis Software for Compliant Mechanisms
,” DETC2002/MECH–34210,
Proc. of the 2002 ASME Design Engineering Technical Conferences
,
Montreal
, Canada, USA.
13.
Huang
,
T.
,
Li
,
Z.
,
Li
,
M.
,
Chetwynd
,
D. G.
, and
Gosselin
,
C. M.
, 2004, “
Coneptual Design and Dimensional Synthesis of a Novel 2-DOF Translational Parallel Robot for Pick-and-Place Operations
,”
ASME J. Mech. Des.
1050-0472,
126
, pp.
449
455
.
14.
Kim
,
H. S.
, and
Tsai
,
L.-W.
, 2003, “
Design Optimization of a Cartesian Parallel Manipulator
,”
ASME J. Mech. Des.
1050-0472,
125
, pp.
43
51
.
15.
Ulah
,
I.
, and
Kota
,
S.
, 1997, “
Optimal Synthesis of Mechanisms for Path Generation Using Fourier Descriptors and Global Search Methods
,”
ASME J. Mech. Des.
1050-0472,
119
, pp.
504
510
.
16.
Martinez-Alfaro
,
H.
,
Valdez
,
H.
, and
Ortega
,
J.
, 1998, “
Linkage Synthesis of a Four-Bar Mechanism for n-Precision Points Using Simulated Annealing
,” DETC98/ MECH–5942,
Proc. of the 1998 ASME Design Engineering Technical Conferences
,
Atlanta
, Georgia, USA.
17.
Kunjur
,
S.
, and
Krishnamurty
,
S.
, 1997, “
Genetic Algorithms in Mechanism Synthesis
,”
Journal of Applied Mechanisms and Robotics
,
4
(
2
), pp.
18
24
.
18.
Zhou
,
H.
, and
Cheung
,
E. H. M.
, 2001, “
Optimal synthesis of crank-rocker linkage for path generation using the orientation structural error of the fixed link
,”
Mech. Mach. Theory
0094-114X,
36
, pp.
973
982
.
19.
Cabrera
,
J. A.
,
Simon
,
A.
, and
Prado
,
M.
, 2002, “
Optimal synthesis of mechanisms with genetic algorithm
,”
Mech. Mach. Theory
0094-114X,
37
, pp.
1165
1177
.
20.
Laribi
,
M. A.
,
Mlika
,
A.
,
Romdhane
,
L.
, and
Zeghloul
,
S.
, 2004, “
A combined genetic algorithm-fuzzy logic method (GA-FL) in mechanism synthesis
,”
Mech. Mach. Theory
0094-114X,
39
, pp.
717
735
.
21.
Camuto
,
M.
, and
Kinzel
,
G.
, 1998, “
Path Generation Using a Random Walk Algorithm
,” DETC98/MECH–5939,
Proc. Of the 1998 ASME Design Engineering Technical conferences
,
Atlanta
, Georgia, USA.
22.
Liu
,
Y.
, and
Xiao
,
R.
, 2005, “
Optimal Synthesis of Mechanisms for Path Generation Using Refined Numerical Representation Based Model and AIS Based Searching Method
,”
ASME J. Mech. Des.
1050-0472 (in press).
23.
Saxena
,
A.
, 2005, “
Synthesis of Compliant Mechanisms for Path Generation using Genetic Algorithm
,”
ASME J. Mech. Des.
1050-0472 (in press).
24.
Tai
,
K.
,
Cui
,
G. Y.
, and
Ray
,
T.
, 2002, “
Design Synthesis of Path Generating Compliant Mechanisms by Evolutionary Optimization of Topology and Shape
,”
ASME J. Mech. Des.
1050-0472,
124
(
3
), pp.
492
500
.
25.
Saxena
,
A.
, 2002, “
On Multiple-Material Optimal Compliant Topologies: Discrete Variable Parameterization using Genetic Algorithm
,” DETC2002/MECH–34209,
Proc. of the 2002 ASME Design Engineering Technical Conferences
,
Montreal
, Canada.
26.
Smaili
,
A.
, and
Atallah
,
N.
, 2005, “
A Three DOF Robomech: Architecture, Optimum Synthesis and Introduction to Compliant Robomechs
,”
Mech. Mach. Theory
0094-114X (in press).
27.
Glover
,
F.
, and
Laguna
,
M.
, 1997,
Tabu search
,
Kluwer Academic Publishers
, Dordrecht.
28.
Pham
,
D. T.
, and
Karaboga
,
D.
, 2000,
Intelligent Optimization Techniques
,
Springer
, New York.
29.
Sanchez Marin
,
F. T.
, and
Gonzalez
,
A. P.
, 2003, “
Global optimization in path synthesis based on design space reduction
,”
Mech. Mach. Theory
0094-114X,
38
, pp.
579
594
.
30.
McGarva
,
J. R.
, 1994, “
Rapid search and selection of path generating mechanism from a library
,”
Mech. Mach. Theory
0094-114X,
29
(
2
), pp.
223
235
.
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