Identifying the isomorphism of kinematic chainsIdentifying the isomorphism of kinematic chains

• Autorzy: Romaniak K.

Identyfikatory

DOI

10.1515/ama-2016-0029

• Języki publikacji: EN

Abstrakty

EN

Identification of isomorphic kinematic chains is one of the key issues in researching the structure of mechanisms. As a result the structures which duplicate are eliminated and further research is carried out on kinematic chains that do not duplicate. This dilemma has been taken up by many scholars who have come up with a variety of ideas how to solve it. The review of the methods for identifying the isomorphism of kinematic chains suggested by researchers is contained in this study, including Hamming Number Technique, eigenvalues and eigenvectors, perimeter graphs, dividing and matching vertices. The spectrum of methods applied to the issue of identifying the isomorphism of mechanisms reflects the researchers’ efforts to obtain a precise result in the shortest time possible.

Słowa kluczowe

EN

isomorphism; structure of mechanisms; kinematic chain

PL

izomorfizm; łańcuch kinematyczny; struktura mechanizmów

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2016
• Tom: Vol. 10, no. 3
• Strony: 195--200
• Opis fizyczny: Bibliogr. 14 poz., rys., tab.

Twórcy

autor

Romaniak K.

• Faculty of Architecture, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland

Bibliografia

• 1. Chang Z. Zhang C., Yang Y., Wang Y. (2002), A New Method to Mechanism Kinematic Chain Isomorphism Identification, Mechanism and Machine Theory, 37, 411-417.
• 2. Cubillo J. P., Wan J. (2005), Comments on Mechanism Kinematic Chain Isomorphism Identification Using Adjacent Matrices, Mechanism and Machine Theory, 40, 131-139.
• 3. Ding H., Hou F., Kecskemethy A., Huang Z. (2011), Synthesis of a complete set of contracted graphs for planar non-fractionated simple-jointed kinematic chains with all possible DOFs, Mechanism and Machine Theory, 46(11), 1588-1600.
• 4. Ding H., Hou F., Kecskemethy A., Huang Z. (2012) Synthesis of the Whole Family of planar 1-DOF kinematic chains and Creation of Their Atlas Databases, Mechanism and Machine Theory, 47(1), 1-15.
• 5. Ding H., Huang Z. (2007), The Establishment of the Canonical Perimeter Topological Graph of Kinematic Chains and Isomorphism Identification, Journal of Mechanical Design, 129, 915-923.
• 6. Ding H., Huang Z. (2009), Isomorphism Identification of Graphs: Especially for the Graphs of Kinematic Chains, Mechanism and Machine Theory, 44, 122-139.
• 7. He P. R., Zhang W. J., Li Q. (2005), Some Further Development on the Eigensystem Approach for Graph Detection, Journal of the Franklin Institute, 342, 657-673.
• 8. He P. R., Zhang W. J., Li Q., Wu F. X. (2003) A New Method for Detection of Graph Isomorphism Based on the Quadratic Form, Journal of Mechanical Design, 125, 640-642.
• 9. Rao A. C, Raju D. (1991), Application of the Hamming Number Technique to Detect Isomorphism Among Kinematic Chains and Inversions, Mechanism and Machine Theory,26, 55-75.
• 10. Romaniak K. (2010), Generalized Methods of Kinematic Chains Structural Synthesis, International Journal of Applied Mechanics and Engineering, 15(3), 821-829.
• 11. Romaniak K. (2011), Methods of Structural Synthesis of Mechanisms (in Polish), Wydawnictwo ATH w Bielsku-Białej, Bielsko-Biała.
• 12. Romaniak K. (2011), Structural Synthesis of Parallel Mechanisms (in Polish), Modelowanie Inżynierskie, 11(42), 359-367.
• 13. Uicker J. J., Raicu A. (1975), A Method for the Identification Recognition of Equivalence of Kinematic Chains, Mechanism and Machine Theory, 10, 375-383.
• 14. Zeng K., Fan X., Dong M., Yang P. (2014), A fast algorithm for kinematic chain isomorphism identification based on dividing and matching vertices, Mechanism and Machine Theory, 72, 25-38.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.