Journal of Advancements in Robotics
Synthesis of Coupler Curve on Optimizing a Four-Bar Mechanism with Ternary Linkage Using Genetic Algorithm
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)
- William Francis H, Eckard Natter F. Rotating and Translating Radar Antenna Drive System . United States of America Patent 4346386; 24 Aug 1982.
- Crocesi S, Pennestrí E. Kinematic Synthesis of a Curve -Scribing Mechanism for Prescribed Finite Motion. Mech Mach Theory. 2005; 40(1): 91–98p.
- Thompson Vincent, Stepehen Bennison J, Waltari Scott L. Rotating Laser Measurement System . United States of America Patent 7557914; 7 Jul 2009.
- Erdman AG, Sandor GN. Mechanism Design: Analysis and Synthesis. Vol. 1. Englewood Cliffs, NJ: Prentice -Hall, Inc.; 1984.
- 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.
- 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.
- 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.
- Farhang K, Midha A, Bajaj AK. Synthesis of Harmonic Motion Generating Linkages Part I: Function Generation. J Mech Des . 1988; 110(1): 16–21p.
- 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.
- Schall S, Peters J, Nakanishi J, et al. Learning Movement Primitives. In Robotics Research. The Eleventh International Symposium, Springer. 2005; 561–572p.
- Cabrera JA, Simon A, Prado M. Optimal Synthesis of Mechanisms with Genetic Algorithms. Mech Mach Theory. 2002; 37: 1165–1177p.
- Diab N, Smaili A. Optimum Exact/Approximate Point Synthesis of Planar Mechanisms. Mech Mach Theory . 2008; 48: 1610–1624p.
- Sanchez Marın FT, Gonzalez AP. Global Optimization in Path Synthesis Based on Design Space Reduction. Mech Mach Theory. 2003; 38: 579–594p.
- Chaudhary K, Chaudhary H. Dynamic Balancing of Planar Mechanisms Using Genetic Algorithm. J Mech Sci Technol . 2014; 28(10): 4213–4220p.
- Goldenberg DE. Genetic Algorithms in Search Optimization and Machine Learning. Addison-Wesley; 1989.
- 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.
- 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.
- Cabrera JA, Simon A, Prado M. Optimal Synthesis of Mechanisms with Genetic Algorithms. Mech Mach Theory. 2002; 37: 1165–1177p.
- Freudenstein F. An Analytical Approach to the Design of Four-Link Mechanisms. Trans ASME. 1954; 76: 483–492p.
- 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.