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On-line Access: 2011-06-06

Received: 2010-02-02

Revision Accepted: 2010-05-15

Crosschecked: 2011-08-16

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Journal of Zhejiang University SCIENCE A 2011 Vol.12 No.9 P.665-679


Analysis and optimal synthesis of single loop spatial mechanisms

Author(s):  Med Amine Laribi, Lotfi Romdhane, Sad Zeghloul

Affiliation(s):  Laboratoire de Gnie Mcanique, LAB-MA-05, Ecole Nationale dIngnieurs de Sousse, 4000 Sousse, Tunisia, Institut Pprime-UPR 3346, CNRS-Universit de Poitiers-ENSMA, Dpartement Gnie Mcanique et Systmes Complexes, SP2MI, BP30179 86962 Futuroscope, France

Corresponding email(s):   med.amine.laribi@univ-poitiers.fr

Key Words:  Spatial mechanisms, Genetic algorithm-fuzzy logic (GA-FL) method, Denevit-Hartenberg parameters, Mechanism synthesis

Med Amine Laribi, Lotfi Romdhane, Sad Zeghloul. Analysis and optimal synthesis of single loop spatial mechanisms[J]. Journal of Zhejiang University Science A, 2011, 12(9): 665-679.

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journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

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%T Analysis and optimal synthesis of single loop spatial mechanisms
%A Med Amine Laribi
%A Lotfi Romdhane
%A Sad Zeghloul
%J Journal of Zhejiang University SCIENCE A
%V 12
%N 9
%P 665-679
%@ 1673-565X
%D 2011
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1000052

T1 - Analysis and optimal synthesis of single loop spatial mechanisms
A1 - Med Amine Laribi
A1 - Lotfi Romdhane
A1 - Sad Zeghloul
J0 - Journal of Zhejiang University Science A
VL - 12
IS - 9
SP - 665
EP - 679
%@ 1673-565X
Y1 - 2011
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1000052

In this work, a systematic approach is presented to obtain the input-output equations of a single loop 4-bar spatial mechanisms. The dialytic method along with Denavit-Hartenberg parameters can be used to obtain these equations efficiently. A genetic algorithm (GA) has been used to solve the problem of spatial mechanisms synthesis. Two types of mechanisms, e.g., RSCR and RSPC (R: revolute; S: spherical; C: cylindrical; P: prismatic), have illustrated the application of the GA to solve the problem of function generation and path generation. In some cases, the GA method becomes trapped in a local minimum. A combined GA-fuzzy logic (GA-FL) method is then used to improve the final result. The results show that GAs, combined with an adequate description of the mechanism, are well suited for spatial mechanism synthesis problems and have neither difficulties inherent to the choice of the initial feasible guess, nor a problem of convergence, as it is the case for deterministic methods.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1]Ananthasuresh, G.K., Kramer, S.N., 1994. Analysis and optimal synthesis of the RSCR spatial mechanism. Journal of Mechanical Design, 116(1):174-181.

[2]Artobolovski, I., 1977. Théorie des Mécanismes et des Machines. Edition MIR, Moscou.

[3]Cabrera, J.A., Simon, A.A., Prado, M., 2002. Optimal synthesis of mechanisms with genetic algorithms. Mechanism and Machine Theory, 37(10):1165-1177.

[4]Chelouah, R., Siarry, P., 2000. A continuous genetic algorithm designed for the global optimization of multimodal functions. Journal of Heuristics, 6(2):191-213.

[5]Chelouah, R., Siarry, P., 2003. Genetic and NelderMead algorithms hybridized for a more accurate global optimization of continuous multiminima functions. European Journal of Operational Research, 148(2):335-348.

[6]Chiang, C.H., Chieng, W.H., Hoeltzel, D.A., 1992. Synthesis of RSCR mechanism for four precision positions with relaxed specifications. Mechanism and Machine Theory, 27(2):157-167.

[7]Chipperfield, A., Fleming, P., Pohlheim, H., Fonseca, C., 1994. Genetic Algorithm TOOLBOX User’s Guide. Department of Automatic Control and Systems Engineering, University of Sheffield, Version 1.2.

[8]Chung, W.Y., 2004. Mobility analysis of RSSR linkage and type maps of special cases. Mechanism and Machine Theory, 39(4):379-393.

[9]Denavit, J., Hartenberg, R.S., 1955. A kinematic notation for lower-pair mechanism based on matrices, transaction of the ASME. Journal of Applied Mechanics, p.215-221.

[10]Devanathan, B.T., Siddhanty, M.N., 1984. Higher-order synthesis of an RSSR mechanism with application. Mechanism and Machine Theory, 19(1):85-96.

[11]Dhall, S., Kramer, S.N., 1990. Design and analysis of the HCCC, RCCC, and PCCC spatial mechanisms for function generation. Journal of Mechanical Design, 112(1):74-78.

[12]Fischer, I.S., 2003. Velocity analysis of mechanisms with ball joints. Mechanics Research Communication, 30(1):69-78.

[13]Gogu, G., 2005. Mobility of mechanisms: a critical review. Mechanism and Machine Theory, 40(9):1068-1097.

[14]Goldberg, D.E., 1994. Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley Publishing.

[15]Kunjur, A., Krishnnamuty, S., 1995. Genetic Algorithm in Mechanism Synthesis. ASME-Fourth Applied Mechanisms and Robotics Conference, AMR 95-068-01-07.

[16]Laribi, M.A., Mlika, A., Romdhane, L., Zeghloul, S., 2004. A combined genetic algorithm-fuzzy logic method (GA-FL) in mechanisms synthesis. Mechanism and Machine Theory, 39(7):717-735.

[17]Lee, E., Mavroidis, C., 2004. Geometric design of spatial PRR manipulators. Mechanism and Machine Theory,


[19]Lee, T.Y., Shim, J.K., 2003. Improved dialytic elimination algorithm for the forward kinematics of the general Stewart-Gough platform. Mechanism and Machine Theory, 38(6):563-577.

[20]Lozano, J.A., Larranaga, P., Grana, M., Albizuri, F.X., 1999. Genetic algorithms: bridging the convergence gap. Theoretical Computer Science, 229(1-2):11-22.

[21]Mavroidis, C., Roth, B., 1994. Analysis and Synthesis of Overconstrained Mechanisms. Proceedings of the ASME Design Technical Conferences, DE70, Minneapolis, MI, p.115-133.

[22]Permkumar, P., Kramer, S., 1990. Synthesis of multi-loop spatial mechanisms by iterative analysis: the RSSRSS path generator. Journal of Mechanical Design, 112(1):69-73.

[23]Permkumar, P., Dhall, S.R., Krameret, S.R., 1988. Selective precision synthesis of the spatial slider crank mechanism for path and function generation. Journal of Mechanical Design, 110:295.

[24]Prentis, J.M., 1991. The pole triangle, Burmester theory and order and branching problems II: The branching problem. Mechanism and Machine Theory, 26(1):31-39.

[25]Raghavan, M., Roth, B., 1998. Kinematic Analysis of the 6R Manipulator of General Geometry. The Fifth International Symposium on Robotics Research, MIT Press Cambridge, MA, USA, p.314-320.

[26]Rastegar, J., Tu, Q., 1992. Approximated Grashof-type movability condition for RSSR mechanisms with force transmission limitations. Journal of Mechanical Design, 114(1):74-81.

[27]Rastegar, J., Tu, Q., 1996. Geometrically approximated rotatability conditions for spatial RSRC mechanisms with joint angle limitations. Journal of Mechanical Design, 118(3):444-446.

[28]Renner, G., Ekart, A., 2003. Genetic algorithms in computer aided design. Computer Aided Design, 35(8):709-726.

[29]Russell, K., Sodhi, R.S., 2001. Kinematic synthesis of adjustable RRSS mechanisms for multi-phase motion generation. Mechanism and Machine Theory, 36(8):939-952.

[30]Russell, K., Sodhi, R.S., 2003. Kinematic synthesis of adjustable RSSR-SS mechanisms for multi-phase finite and multiply separated position. Journal of Mechanical Design, 125(4):847-853.

[31]Sandor, G.N., Erdman, A.G., 1984. Advanced Mechanism Design Analysis and Synthesis. Prentice-Hall, USA.

[32]Sandor, G.N., Li, J.X., Shan, P.Y., 1986. Computer aided synthesis of two-closed-loop RSSR-SS spatial

[33]motion generator with branching and sequence constraints. Mechanism and Machine Theory, 21(4):345-350.

[34]Tong-Tong, J.R., 1995. La logique floue. Hermés.

[35]Trabia, M.B., 2004. A hybrid fuzzy simplex genetic algorithm. Jounal of Mechanical Design, 126:969-974.


[37]Tsai, L., 1999. Robot Analysis: the Mechanics of Serial and Parallel Manipulators. John Wiley & Sons, New York, NY, USA.

[38]Vinod, G., Kushwaha, H.S., Verma, A.K., Srividya, A., 2004. Optimisation of ISI interval using genetic algorithms for risk informed in-service inspection. Reliability Engineering and System Safety, 86(3):307-316.

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