journal article·2021-10-16Open access

Structural Synthesis of Articulated Manipulators with Non-Fractionated or Fractionated Kinematic Chains without Isomorphism

Ho Sung Park, Jae Kyung Shim, Woon Ryong Kim, Tae Woong Yun

Applied Sciences· Volume 11· Issue 20

Abstract

As the kinematic structure of an articulated manipulator affects the characteristics of its motion, rigidity, vibration, and force transmissibility, finding the most suitable kinematic structure for the desired task is important in the conceptual design phase. This paper proposes a systematic method for generating non-isomorphic graphs of articulated manipulators that consist of a fixed base, an end-effector, and a two-degree-of-freedom (DOF) intermediate kinematic chain connecting the two. Based on the analysis of the structural characteristics of articulated manipulators, the conditions that must be satisfied for manipulators to have a desired DOF is identified. Then, isomorphism-free graph generation methods are proposed based on the concepts of the symmetry of a graph, and the number of graphs generated are determined. As a result, 969 graphs of articulated manipulators that have two-DOF non-fractionated intermediate kinematic chains and 33,438 graphs with two-DOF fractionated intermediate kinematic chains are generated, including practical articulated manipulators widely used in industry.
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Research context

OpenAlex topics: Robotic Mechanisms and Dynamics · Manufacturing Process and Optimization · Modular Robots and Swarm Intelligence

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mechanical Engineering, Graduate School, Korea University, Seoul 02841, Korea

School of Mechanical Engineering, Korea University, Seoul 02841, Korea

References (30)

Show source-provided references
1. Tsai, L.W. (2000). Mechanism Design: Enumeration of Kinematic Structures According to Function, CRC Press.10.1115/1.1334346 ↗
2. Mo, Y.K., Shim, J.K., Kwak, S.W., Jo, M.S., and Park, H.S. (2020). Type Synthesis of Variable Compression Ratio Engine Mechanisms. Appl. Sci., 10.10.3390/app10186574 ↗
3. Kwak, S.W., Shim, J.K., and Mo, Y.K. (2020). Kinematic Conceptual Design of In-Line Four-Cylinder Variable Compression Ratio Engine Mechanisms Considering Vertical Second Harmonic Acceleration. Appl. Sci., 10.10.3390/app10113765 ↗
4. A Contribution to Gruebler’s Theory in the Number Synthesis of Plane Mechanisms10.1115/1.3670442 ↗
5. Hain, K. (1967). Applied Kinematics, McGraw-Hill. [2nd ed.].
6. Complete Atlas Database of 2-DOF Kinematic Chains and Creative Design of Mechanisms10.1115/1.4005866 ↗
7. Automatic Structural Synthesis of the Whole Family of Planar 3-Degrees of Freedom Closed Loop Mechanisms10.1115/1.4024919 ↗
8. Crossley, F.R.E. (1965). The permutations of kinematic chains of eight members or less from the graph-theoretic viewpoint. Volume 2: Developments in Theoretical and Applied Mechanisms, Peragamon Press.
9. Görtler, H. (1966). On a theory for the type synthesis of mechanisms. Applied Mechanics, Springer.10.1007/978-3-662-29364-5 ↗
10. Some Applications of Graph Theory to the Structural Analysis of Mechanisms10.1115/1.3609988 ↗
11. Tuttle, E.R. (1987, January 12). Symmetry Group Theory Applied to Kinematic Chain Enumeration. Proceedings of the 10th Applied Mechanics Conference, Los Angeles, CA, USA.
12. Further Applications of Group Theory to the Enumeration and Structural Analysis of Basic Kinematic Chains10.1115/1.3259027 ↗
13. Enumeration of Basic Kinematic Chains Using the Theory of Finite Groups10.1115/1.3259028 ↗
14. Automatic Method for Enumeration of Complete Set of Kinematic Chains
15. Generation of planar kinematic chains10.1016/0094-114X(95)00083-B ↗
16. Merlet, J.-P. (2006). Structural synthesis and architectures. Parallel Robots, Kluwer Academic Publishers. [2nd ed.].
17. Structure Synthesis of a Class of 4-DOF and 5-DOF Parallel Manipulators with Identical Limb Structures10.1177/0278364902021009314 ↗
18. Gogu, G. (2008). Structural Synthesis of Parallel Robots, Springer.10.1007/978-1-4020-5710-6 ↗
19. General method of structural synthesis of parallel mechanisms10.1016/j.acme.2015.11.002 ↗
20. Optimum Robot Design Based on Task Specifications Using Evolutionary Techniques and Kinematic, Dynamic, and Structural Constraints10.1080/1068276021000004706 ↗
21. Topology optimization of rigid-links for industrial manipulator considering dynamic loading conditions10.1016/j.mechmachtheory.2020.103979 ↗
22. Robust approximate fixed-time tracking control for uncertain robot manipulators10.1016/j.ymssp.2019.106379 ↗
23. A geometric procedure for robust decoupling control of contact forces in robotic manipulation
24. A physical model of the solution space and the atlas of the reachable workspace for 2-DOF parallel planar manipulators10.1016/0094-114X(95)00056-5 ↗
25. Kuo, C.-H., and Dai, J.S. (2010). Structural Synthesis of Serial Robotic Manipulators Subject to Specific Motion Constraints. Volume 2: 34th Annual Mechanisms and Robotics Conference, Parts A and B, ASMEDC.10.1115/DETC2010-28947 ↗
26. Symbolic structural synthesis and a description method for planar kinematic chains in robotics10.1016/S0997-7538(01)01152-4 ↗
27. The whole family of kinematic structures for planar 2- and 3-DOF fractionated kinematic chains10.1016/j.mechmachtheory.2013.07.001 ↗
28. Synthesis of Planar Kinematic Chains with Prismatic Pairs Based on a Similarity Recognition Algorithm10.1115/1.4050193 ↗
29. (2021, September 14). Robot-Product-Fanuc Global Home Page. Available online: https://www.fanuc.com/product/robot.html.
30. (2021, September 14). KUKA Robotics Home Page. Available online: https://www.kuka.com/en/products/robotics-systems/industrial-robots/kr-1000-titan.