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Mass optimization of four bar linkage using genetic algorithms with dual bending and buckling constraints

  • Hassan, M.R.A. (Faculty of Mechanical Engineering, Penang Campus, Universiti Teknologi MARA) ;
  • Azid, I.A. (School of Mechanical Engineering, Engineering Campus, Universiti Sains Malaysia) ;
  • Ramasamy, M. (School of Mechanical Engineering, Engineering Campus, Universiti Sains Malaysia) ;
  • Kadesan, J. (School of Mechanical Engineering, Engineering Campus, Universiti Sains Malaysia) ;
  • Seetharamu, K.N. (M.S. Ramaiah School of Advanced Studies) ;
  • Kwan, A.S.K. (Division of Structural Engineering, Cardiff School of Engineering) ;
  • Arunasalam, P. (Department of Mechanical Engineering, T.J. Watson School of Mechanical Engineering, State University of New York at Binghamton)
  • Received : 2006.12.21
  • Accepted : 2010.01.22
  • Published : 2010.05.10

Abstract

In this paper, the mass optimization of four bar linkages is carried out using genetic algorithms (GA) with single and dual constraints. The single constraint of bending stress and the dual constraints of bending and buckling stresses are imposed. From the movement response of the bar linkage mechanism, the analysis of the mechanism is developed using the combination of kinematics, kinetics, and finite element analysis (FEA). A penalty-based transformation technique is used to convert the constrained problem into an unconstrained one. Lastly, a detailed comparison on the effect of single constraint and of dual constraints is presented.

Keywords

References

  1. Aviles, R., Hernandez, A., Amezua, E. and Altuzarra, O. (2008), "Kinematic analysis of linkages based in finite elements and the geometric stiffness matrix", Mech. Mach. Theory, 43, 964-983. https://doi.org/10.1016/j.mechmachtheory.2007.07.007
  2. Cabrera, J.A., Siman, A. and Prado, M. (2002), "Optimal synthesis of mechanisms with genetic algorithm", J. Mech. Mach. Theory, 37, 1165-1177. https://doi.org/10.1016/S0094-114X(02)00051-4
  3. Cameron, T.M., Thirunavukarasu, A.C. and El-Sayed, M.E.M. (2000), "Optimization of frame structure with flexible joints", Struct. Multidiscip. O., 19, 204-213. https://doi.org/10.1007/s001580050103
  4. Chen, T.Y. and Yang, C.M. (2005), "Multidisciplinary design optimization of mechanisms", Adv. Eng. Softw., 36, 301-311. https://doi.org/10.1016/j.advengsoft.2004.10.013
  5. Chong Yee Shing, N. Siva Prasad and Mohd. Kamel Wan Ibrahim (2005), "Design of the lifting robot", National Conf.on Advandces in Mechanical Eng. 18/20 May 2005, Cititel Mid Valley K.L:UPENA UiTM. 2, 521-529.
  6. Erdman, A.G. and Sandor, G.N. (1984), Mechanism Design : Analysis and Synthesis, Prentice-Hall, Englewood Cliffs, New Jersey.
  7. Hartenberg, R.S. and Denavit, J. (1964), Kinematic Synthesis of Linkages, McGraw-Hill, New York.
  8. Hibbeler, R.C. (2004), Engineering Mechanics, Prentice Hall.
  9. Khatait, J.P., Mukherjee, S. and Seth, B. (2006), "Compliant design for flapping mechanism: A minimum torque approach", Mech. Mach. Theory, 41, 3-16. https://doi.org/10.1016/j.mechmachtheory.2005.06.002
  10. 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, 39, 717-735. https://doi.org/10.1016/j.mechmachtheory.2004.02.004
  11. Nariman-zadeh, N., Felezi, N., Jamali, A. and Ganji, M. (2009), "Pareto optimal synthesis of four-bar mechanisms for path generation", Mech. Mach. Theory, 44, 180-191. https://doi.org/10.1016/j.mechmachtheory.2008.02.006
  12. Norton, R.L. (1999), Design of Machinery: An Introduction to the Synthesis and Analysis of Mechanisms of Machines, McGraw-Hill, New York.
  13. Osyczka, A. and Kundu, S. (1995), "A new method to solve generalized multicritirea optimization problem using the simple genetic algorithm", Struct. Optim., 10, 94-99. https://doi.org/10.1007/BF01743536
  14. Rajeev, S. and Krishnamoorty, C.S. (1990), "Discrete optimization of structure using genetic algorithms", J. Struct. Eng-ASCE, 5, 1233-1250.
  15. Robinson, J. (1996), "Toward automated stress analysis (Finite element mode-amplitude technique)", Finite Elem. Anal. Des., 22, 195-210. https://doi.org/10.1016/0168-874X(95)00054-W
  16. Shen, Q., Yahia M.S., Martin, P.J., Russell, K. and Sodhi, R.S. (2009), "An extension of mechanism design optimization for motion generation", Mech. Mach. Theory, 44, 1759-1767. https://doi.org/10.1016/j.mechmachtheory.2009.03.001
  17. Shingley, J.E. and Uicker, J.J. (1980), Theory of Machine and Mechanisms, MaCGraw-Hill Book Company, New York.
  18. Smaili, A. and Rick, O. (1996), "Robomech-III: A stack of three four-bar mechanisms for triple-function task applications", Proceedings of the 24th ASME Mechanisms Conference, 96-DETC/MECH-1204.
  19. Toropov, V.V. and Markine, V.L. (1998), "Use of simplified numerical models as approximations: application to a dynamic optimal design problem", Proceedings of the ISSMO/NASA First Internet Conference on Approximation and Fast Reanalysis Techniques in Engineering Optimization, June.
  20. Venanzi, S., Giesen, P. and Parenti-Castelli, V. (2005), "A novel technique for position analysis of planar compliant mechanisms", Mech. Mach. Theory, 40, 1224-1239. https://doi.org/10.1016/j.mechmachtheory.2005.01.009
  21. Waldron, K.L. and Kinzel, G.L. (2004), Kinematics, Dynnamics and Design of Machinery, John Wiley & Sons Inc., US.
  22. Yan, H.S. and Yan, G.J. ( 2009), "Integrated control and mechanism design for the variable input-speed servo four-bar linkages", Mechatronics, 19, 274-285. https://doi.org/10.1016/j.mechatronics.2008.07.008
  23. Zhou, H. (2009), "Synthesis of adjustable function generation linkages using the optimal pivot adjustment", Mech. Mach. Theory, 44, 983-990. https://doi.org/10.1016/j.mechmachtheory.2008.05.016

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