This paper presents an optimal synthesis method for path generation of planar mechanisms, in which a new path-description method named refined numerical representation is proposed to define the object function of the optimization model for path generation, and then the artificial immune network searching method is introduced to search candidate solutions. As a result, desired mechanisms can be generated independent of the scale, rotation, and translation transformation as well as sampling uniformity of initial sampling points. Experiment results demonstrate the effectiveness of the approach.
Issue Section:
Technical Brief
Keywords:
mechanical engineering computing,
optimisation,
design,
Optimal Synthesis,
Path Generation,
Refined Numerical Representation,
aiNet
Topics:
Optimization
1.
Yuan
, Zh. F.
, Gilmartin
, M. J.
, and Douglas
, S. S.
, 2004, “Optimal Mechanism Design for Path Generation and Motions With Reduced Harmonic Content
,” ASME J. Mech. Des.
1050-0472, 126
(1
), pp. 191
–196
.2.
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
.3.
Zhou
, J.
, Cha
, J. Z.
, and Xiao
, R. B.
, 1998, Intelligent Design
, Higher Education Press
, Beijing (in Chinese).4.
Zahn
, C. T.
, and Roskies
, R. Z.
, 1972, “Fourier Descriptors for Plane Closed Curves
,” IEEE Trans. Pattern Anal. Mach. Intell.
0162-8828, C-21
(3
), pp. 269
–281
.5.
Irfan
, Ullah
, and Sridhar
, Kota
, 1997, “Optimal Synthesis of Mechanisms for Path Generation Using Fourier Descriptors and Global Search Methods
,” ASME J. Mech. Des.
1050-0472, 119
(3
), pp. 504
–510
.6.
Oppenheim
, A. V.
, and Schafter
, R. W.
, 1989, Discrete-Time Signal Processing
, Prentice-Hall
, Englewood Cliffs, NJ.7.
Sun
, X. B.
, and Xiao
, R. B.
, 2002, “The Refined Numerical Representation Method of Mechanism Path Based on Its Maximal Geometrical Eigen Spectrum
,” Prog. Nat. Sci.
1002-0071, 12
(7
), pp. 775
–779
(in Chinese).8.
Xiao
, R. B.
, 2004, “Mechanism Path Synthesis Based on Immune Computing
,” J. Comput.-Aided Mater. Des.
0928-1045, 16
(6
), pp. 812
–818
(in Chinese).9.
Dasgupta
, D.
, and Attoh-Okine
, N.
, 1997, “Immunity Based Systems: A Survey
,” Proceedings of IEEE International Conference on Systems, Man, and Cybernetics, Computational Cybernetics and Simulation
, pp. 369
–374
.10.
Leandro
, N. de Castro
, and Timmis
, Jon.
, 2002, “An Artificial Immune Network for Multimodal Function Optimization
,” Proceedings of IEEE Congress on Evolutionary Computation (CEC’02), May, Hawaii
, Vol. 1
, pp. 699
–674
.11.
Cabrera
, J. A.
, Simon
, A.
, and Prado
, M.
, 2002, “Optimal Synthesis of Mechanisms With Genetic Algorithms
,” Mech. Mach. Theory
0094-114X, 37
(10
), pp. 1165
–1177
.12.
Kunjur
, A.
, and Krishnamurty
, S.
, 1997, “Genetic Algorithms in Mechanical Synthesis
,” J. Appl. Mech.
0021-8936, 4
(2
), pp. 18
–24
.13.
Leandro
, N. de Castro
, and Fernando
, J. Von Zuben
, 2000, “An Evolutionary Immune Network for Data Clustering
,” Proceedings of the IEEE Computer Society Press, SBRN’00 (Brazilian Symposium on Neural Networks), Rio de Janeiro/RJ, 22–25, November
, Vol. 1
, pp. 84
–89
.Copyright © 2005
by American Society of Mechanical Engineers
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