Journal of Advancements in Robotics

Synthesis of Coupler Curve on Optimizing a Four-Bar Mechanism with Ternary Linkage Using Genetic Algorithm

  1. Dibakar Bandopadhya
  2. R. Tummala
  3. M. Giridhar

Abstract

AbstractDesigning of an intricate shaped coupler curve requires assembling of complex synthesis process in relationship with the linkages of a mechanism. This work is an attempt to address curvilinear path synthesis problem on designing and optimizing a four-bar mechanism with ternary linkage whose coupler tip traces an in-demand curve with enhanced fitness level. Coupler-curve equations of the mechanism have been derived in relationship with the linkages; in the follow-up, a method has been pursued that synthesizes the mechanism corresponding to an elliptical curve. Later, genetic algorithm (GA) approach is implemented that handles both, optimization and generation of a coupler curve with added advantage. In-depth analysis on elliptical curve generation applying GA has been fulfilled, subsequently resulting synthesized configurations of the mechanism have been illustrated and the outcomes are discussed.  Keywords: Coupler curve, mechanism, synthesis, genetic algorithm, optimizationCite this ArticleBandopadhya D, Tummala R, Giridhar M. Synthesis of Coupler Curve on Optimizing a Four-Bar Mechanism with Ternary Linkage Using Genetic Algorithm. Journal of Advancements in Robotics. 2016; 3(3): 9–22p.

References (20)

  1. William Francis H, Eckard Natter F. Rotating and Translating Radar Antenna Drive System . United States of America Patent 4346386; 24 Aug 1982.
  2. Crocesi S, Pennestrí E. Kinematic Synthesis of a Curve -Scribing Mechanism for Prescribed Finite Motion. Mech Mach Theory. 2005; 40(1): 91–98p.
  3. Thompson Vincent, Stepehen Bennison J, Waltari Scott L. Rotating Laser Measurement System . United States of America Patent 7557914; 7 Jul 2009.
  4. Erdman AG, Sandor GN. Mechanism Design: Analysis and Synthesis. Vol. 1. Englewood Cliffs, NJ: Prentice -Hall, Inc.; 1984.
  5. Farhang K, Midha A, Cipra RJ. Some Synthesis Problems in Harmonic Motion Generating Linkages. Proceedings of the 9th OSU Applied Mechanisms Conference, Kansas City, Missouri. 1985; 1: IV.AII.1 – IV.AII.7.
  6. Midha A, Cipra RJ, Farhang K. Analysis and Design of Basic Linkages for Harmonic Motion Generation. ASME J Mech Transm Autom Des. 1985; 107(4): 499–507p.
  7. Farhang K, Midha A, Hall Jr. AS. Synthesis of Harmonic Motion Generating Linkages, Part II: Path and Motion Generation. J Mech Des. 1988; 110(1): 22–27p.
  8. Farhang K, Midha A, Bajaj AK. Synthesis of Harmonic Motion Generating Linkages Part I: Function Generation. J Mech Des . 1988; 110(1): 16–21p.
  9. Ning K, Kulvicius T, Tamosiunaite M, et al. A Novel Trajectory Generation Method for Robot Control. J Intell Robotic Syst. 2012; 68(2): 165–184p.
  10. Schall S, Peters J, Nakanishi J, et al. Learning Movement Primitives. In Robotics Research. The Eleventh International Symposium, Springer. 2005; 561–572p.
  11. Cabrera JA, Simon A, Prado M. Optimal Synthesis of Mechanisms with Genetic Algorithms. Mech Mach Theory. 2002; 37: 1165–1177p.
  12. Diab N, Smaili A. Optimum Exact/Approximate Point Synthesis of Planar Mechanisms. Mech Mach Theory . 2008; 48: 1610–1624p.
  13. Sanchez Marın FT, Gonzalez AP. Global Optimization in Path Synthesis Based on Design Space Reduction. Mech Mach Theory. 2003; 38: 579–594p.
  14. Chaudhary K, Chaudhary H. Dynamic Balancing of Planar Mechanisms Using Genetic Algorithm. J Mech Sci Technol . 2014; 28(10): 4213–4220p.
  15. Goldenberg DE. Genetic Algorithms in Search Optimization and Machine Learning. Addison-Wesley; 1989.
  16. Laribi MA, Mlika A, Romdhane L, et al. A Combined Genetic Algorithm-Fuzzy Logic Method (GA-FL) in Mechanisms Synthesis. Mech Mach Theory. 2004; 39: 717–735p.
  17. Sancibrian R, Viadero F, Garcia P, et al. Gradient-Based Optimization of Path Synthesis Problems in Planar Mechanisms. Mech Mach Theory. 2004; 39: 839–856p.
  18. Cabrera JA, Simon A, Prado M. Optimal Synthesis of Mechanisms with Genetic Algorithms. Mech Mach Theory. 2002; 37: 1165–1177p.
  19. Freudenstein F. An Analytical Approach to the Design of Four-Link Mechanisms. Trans ASME. 1954; 76: 483–492p.
  20. Deb K. Kanpur Genetic Algorithms Laboratory. [Online]. Available: http://www.iitk.ac.in/kangal/codes.shtml. Last Accessed 16th May 2015. Cite this Article Bandopadhya D, Tummala R, Giridhar M. Synthesis of Coupler Curve on Optimizing a Four -Bar Mechanism with Ternary Linkage Using Genetic Algorithm. Journal of Advancements in Robotics. 2016; 3(3): 9–22p.
Support