Sintesis Dimensi Manipulator Paralel Bidang Dua Derajat Kebebasan Dengan Rantai Kinematik Paralelogram Simetris



DOI: https://doi.org/10.25077/metal.5.2.72-85.2021

Author(s)

Adriyan Adriyan (Sekolah Tinggi Teknologi Nasional) Orcid ID

Abstract


The paper discussed the process to find the optimum dimension for the kinematic constants of a two-degree of freedom planar parallel manipulator. This manipulator itself was constructed by symmetric three parallelogram chains. An optimization process using non-sorted dominated genetic algorithm II (NSGA-II) was carried out for maximization of (i) rMIC (the radius of the maximum inscribed circle) and GCI (global conditioning index), and (ii) rMIC and GTI (global transmission index). Here, GCI and GTI were evaluated on the useful workspace. Instead of using atlases of performance indices, a grid search evaluation was applied to obtain a region in PDS near the optimum values for both maximization cases. This region gave a small bound for NSGA-II to start searching the optimum values of the kinematic constants. For simplification, a python framework for the multi-objective optimization called pymoo was applied to solve the optimization problem. Henceforth, the maximization for two cases yielded an insignificant difference of results in terms of optimum kinematic constants, rMIC, GCI, GTI, area of useful workspace, area of good condition workspace (GCW), area of good transmission workspace (GTW), and the area ratio of GCW and GTW to the useful workspace.

Keywords


Sintesis dimensi; Global conditioning index; Global transmission index; Optimasi multi-objective; NSGA-II

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References


S. Huda and Y. Takeda, “Dimensional Synthesis of 3-URU Pure Rotational Parallel Mechanism with Respect to Singularity and Workspace,” in 12th IFToMM World Congress, 2007, pp. 1–6.

S. Huda, B. Harianto, and M. Bur, “Kinematic Design of Three Degrees of Freedom Planar Parallel Mechanism with Consideration of Workingspace , Singularity and Dexterity,” in Proceeding Seminar Nasional Tahunan Teknik Mesin XIV (SNTTM XIV), 2015, p. MT71 1-5.

C. M. Gosselin and J. Angeles, “The optimum kinematic design of a spherical three degree of freedom parallel manipulator,” J. Mech. Trans. Autom. Des., vol. 111, no. 2, pp. 202–207, 1989.

C. M. Gosselin and J. Angeles, “A global performance index for the kinematic optimization of robotic manipulators,” Trans. ASME J. Mech. Des., vol. 131, pp. 220–226, 1991.

X. Liu, C. Wu, and J. Wang, “A new index for the performance evaluation of parallel manipulators: a study on planar parallel manipulators,” in Proceedings of the 7th World Congress on Intelligent Control and Automation, 2008, pp. 353–357, doi: 10.1109/WCICA.2008.4592950.

X. J. Liu, C. Wu, and J. Wang, “A New Approach for Singularity Analysis and Closeness Measurement to Singularities of Parallel Manipulators,” J. Mech. Robot., vol. 4, pp. 1–10, 2015, doi: 10.1115/1.4007004.

A. Kumar and K. J. Waldron, “The Workspaces of a Mechanical Manipulator,” J. Mech. Des., vol. 103, pp. 665–672, 1981.

P. Zhang, Z. Yao, and Z. Du, “Global Performance Index System for Kinematic Optimization of Robotic Mechanism,” J. Mech. Des., vol. 136, no. March, pp. 1–11, 2014, doi: 10.1115/1.4026031.

X. J. Liu, J. Wang, and G. Pritschow, “Performance atlases and optimum design of planar 5R symmetrical parallel mechanisms,” Mech. Mach. Theory, vol. 41, no. 2, pp. 119–144, 2006, doi: 10.1016/j.mechmachtheory.2005.05.003.

X. J. Liu and J. Wang, “A new methodology for optimal kinematic design of parallel mechanisms,” Mech. Mach. Theory, vol. 42, pp. 1210–1224, 2007, doi: 10.1016/j.mechmachtheory.2006.08.002.

X. J. Liu and J. J. Wang, Parallel Kinematics: Type, Kinematics, and Optimal Design. Heidelberg: Springer, 2014.

X.-J. J. Liu, J. Li, and Y. Zhou, “Kinematic optimal design of a 2-degree-of-freedom 3-parallelogram planar parallel manipulator,” Mech. Mach. Theory, vol. 87, pp. 1–17, 2015, doi: 10.1016/j.mechmachtheory.2014.12.014.

X. J. Liu, J. Wang, and G. Pritschow, “Kinematics, singularity and workspace of planar 5R symmetrical parallel mechanisms,” Mech. Mach. Theory, vol. 41, no. 2, pp. 145–169, 2006, doi: 10.1016/j.mechmachtheory.2005.05.004.

G. Chiandussi, M. Codegone, S. Ferrero, and F. E. Varesio, Comparison of multi-objective optimization methodologies for engineering applications, vol. 63, no. 5. Elsevier Ltd, 2012.

K. Deb, A. Member, A. Pratap, S. Agarwal, and T. Meyarivan, “A Fast and Elitist Multiobjective Genetic Algorithm :,” vol. 6, no. 2, pp. 182–197, 2002.

L. Wang, J. Ding, and L. Zhang, “Multiobjective Optimization of 6-DOF Parallel Manipulator for Desired Total Orientation Workspace,” Math. Probl. Eng., vol. 2019, 2019, doi: 10.1155/2019/5353825.

G. Wu, “Multiobjective Optimum Design of a 3-RRR Spherical Parallel Manipulator with Kinematic and Dynamic Dexterities,” Model. Identif. Control, vol. 33, no. 3, pp. 111–122, 2012, doi: 10.4173/2012.3.3.

F. A. Lara-Molina, D. Dumur, and K. Assolari Takano, “Multi-objective optimal design of flexible-joint parallel robot,” Eng. Comput., vol. 35, no. 8, pp. 2775–2801, 2018, doi: 10.1108/EC-01-2018-0015.

Adriyan, “Analisis Kinematika dan Singularitas Manipulator Paralel Bidang 2 DOF dengan Rantai Kinematik Paralelogram Simetris,” J. Tek. Mesin, vol. 10, no. 2, pp. 79–87, 2020.

C. R. Harris et al., “Array programming with NumPy,” Nature, vol. 585, no. 7825, pp. 357–362, 2020, doi: 10.1038/s41586-020-2649-2.

J. Blank and K. Deb, “Pymoo: Multi-Objective Optimization in Python,” IEEE Access, vol. 8, pp. 1–12, 2020, doi: 10.1109/ACCESS.2020.2990567.

F. Xie, X. Liu, and J. Li, “Performance Indices for Parallel Robots Considering Motion/Force Transmissibility,” in International Conference on Intelligent Robotics and Applications, 2014, no. December, pp. 35–43, doi: 10.1007/978-3-319-13966-1.


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