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Synthesis Optimization of Piezo Driven Four Bar Mechanism using Genetic Algorithm



Over the past few years, there has been a growing demand to develop efficient precision mechanisms for fine moving applications. Therefore, several piezoelectric driven mechanisms have been proposed for such applications. In this work an optimal synthesis of a four-bar mechanism with three PEAs is proposed. Two evolutionary multi-objective Genetic Algorithms (GAs) are formulated and applied; A Genetic Algorithm Synthesis method (GAS) is first used to obtain a synthesis solution for the mechanism regardless of power consumption. Then another Genetic Algorithm Minimum Power Synthesis method (GAMPS) is used to obtain the synthesis solution of minimum power consumption. For that purpose, the study performs simulation investigation of the aforementioned algorithms for each point along sinusoidal and kidney-shaped paths of motion. Results show the capability of both methods in obtaining a synthesis solution. However, GAMPS outperformed GAS in terms of driving power consumption as it is minimized by 99% ratio.



Total Pages: 14
Pages: 507-520


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Volume: 24
Issue: 3
Year: 2018

Cite this document


S.K. Acharyya and M. Mandal, 2009. Performance of EAs for four-bar linkage synthesis. Mechanism and Machine Theory, 44(9), pp.1784-1794.

Z. Affi, B. EL-Kribi, and L. Romdhane, 2007. Advanced mechatronic design using a multi-objective genetic algorithm optimization of a motor-driven four-bar system. Mechatronics, 17(9), pp.489-500.

B.M. Badr and W.G. Ali, 2010. Nanopositioning Fuzzy Control for Piezoelectric Actuators. International Journal of Engineering & Technology, 10(1), pp.70-74.

J. A. Cabrera, et al., 2007. Multiobjective constrained optimal synthesis of planar mechanisms using a new evolutionary algorithm. Mechanism and Machine Theory, 42(7), pp.791-806.

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

P.V. Chanekar and A. Ghosal, 2013. Optimal synthesis of adjustable planar four-bar crank-rocker type mechanisms for approximate multi-path generation. Mechanism and Machine Theory, 69, pp.263-277.

Diab, Nadim, and Ahmad Smaili. "An Ants-Search Based Method for Optimum Synthesis of Compliant Mechanisms Under Various Design Criteria." Mechanism and Machine Theory 114 (2017): 85-97. Crossref. Web.

B. El-kribi, et al., 2013. Application of multi-objective genetic algorithms to the mechatronic design of a four bar system with continuous and discrete variables. 61, pp. 68-83.

S. Erkaya and I. Uzmay, 2009. Determining link parameters using genetic algorithm in mechanisms with joint clearance. Mechanism and Machine Theory, 44, pp.222-234.

G. R. Gogate and S.B. Matekar, 2012. Optimum synthesis of motion generating four-bar mechanisms using alternate error functions. Mechanism and Machine Theory, 54, pp.41-61.

K. S. Hatamleh et al., 2015. Unmanned Aerial Vehicles parameter estimation using Artificial Neural Networks and Iterative Bi-Section Shooting method. Applied Soft Computing, 36, pp.457-467.

Haupt, Randy L., and Sue Ellen Haupt. "Practical Genetic Algorithms." (2003): n. pag. Crossref. Web.

J. H. Holland, 1992. Genetic Algorithms. Scientific American, 267, pp.66-72.

H. K. Khalaf, 2012. Active Control of A Piezoelectric Actuated Four-Bar Mechanism Deployed in Robotics Applications. Jordan University of Science and Technology.

M. Khorshidi, et al., 2011. Optimal design of four-bar mechanisms using a hybrid multi-objective GA with adaptive local search. Mechanism and Machine Theory, 46(10), pp.1453-1465.

S. Krishnan and L. Saggere, 2007. A multi-fingered micromechanism for coordinated micro/nano manipulation. Journal of Micromechanics and Microengineering, 17, pp.576-585.

M. A. Laribi, et al., 2004. A combined genetic algorithm-fuzzy logic method (GA-FL) in mechanisms synthesis. Mechanism and Machine Theory, 39, pp.717-735.

H. C. Liaw and B. Shirinzadeh, 2009. Neural network motion tracking control of piezo-actuated flexure-based mechanisms for micro-/nanomanipulation. IEEE/ASME Transactions on Mechatronics, 14(5), pp.517-527.

H. C. Liaw, B. Shirinzadeh, and J. Smith, 2008. Robust motion tracking control of piezo-driven flexure-based four-bar mechanism for micro/nano manipulation. Mechatronics, 18(2), pp.111-120.

C.-J. Lin and S.-R. Yang, 2006. Precise positioning of piezo-actuated stages using hysteresis-observer based control. Mechatronics, 16(7), pp.417-426. Available at:

C. J. Lin and P. T. Lin, 2012. Particle swarm optimization based feedforward controller for a XY PZT positioning stage. Mechatronics, 22(5), pp.614-628.

M. Lopez-Martinez and E. Campo, 2003. Micro-Nano Technologies for Cell Manipulation and Subcellular Monitoring. Intechopen.Com.

M. Nambi, A. Damani, and J.J. Abbott, 2012. An Empirical Study of Static Loading on Piezoelectric Stick-Slip Actuators of Micromanipulators. In Int. Symp. Experimental Robotics.

D. Oetomo, et al., 2006. Direct Kinematics and Analytical Solution to 3RRR Parallel Planar Mechanisms. In 2006 9th International Conference on Control, Automation, Robotics and Vision. IEEE, pp. 1-6. Available at:

M. Sitti, 2003. Piezoelectrically actuated four-bar mechanism with two flexible links for micromechanical flying insect thorax. IEEE/ASME Transactions on Mechatronics, 8(1), pp.26-36. Available at: [Accessed November 26, 2014].

K.K. Tan, 2001. Computer controlled piezo micromanipulation system for biomedical applications. Engineering Science and Education Journal, 10, p.249.

Tari, Hafez, and Hai-Jun Su. "A Complex Solution Framework for the Kinetostatic Synthesis of a Compliant Four-Bar Mechanism." Mechanism and Machine Theory 46.8 (2011): 1137-1152. Crossref. Web.

B. Yi and J. Liu, 2017. Multi-objective Optimization Design of Automated Side Loader of Arm Actuator X. Zhang, N. Wang, & Y. Huang, eds., Singapore: Springer Singapore. Available at:

C. Zhang, P. R.L. Norton, and T. Hammonds, 1984. Optimization of parameters for specified path generation using an atlas of coupler curves of geared five-bar linkages. Mechanism and Machine Theory, 19(6), pp.459-466.


ISSN PRINT: 1079-8587
ISSN ONLINE: 2326-005X
DOI PREFIX: 10.31209
10.1080/10798587 with T&F
IMPACT FACTOR: 0.652 (2017/2018)
Journal: 1995-Present


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