Open Access Open Access  Restricted Access Subscription or Fee Access

Inversions of 10 Link 12 Joint 3 F Compound Kinematic Chains

Ali Hasan

Abstract


Author’s objective is to prepare a catalogue of equivalent and distinct mechanisms in 10 link 12 joint 3 F compound kinematic chains. It will help the new researchers/designers to select the best mechanism kinematic chain and mechanism to perform the desired task at the conceptual stage of design. The suggested technique is based on the visualization of the coefficients of polynomials of the edge-edge matrix. These coefficients have been used for isomorphism checking. The illustrative example describes the technique.

Cite this Article
Ali Hasan. Inversions of 10 Link 12 Joint 3
F Compound Kinematic Chains. Journal of
Materials & Metallurgical Engineering.
2018; 8(1): 1–9p.


Keywords


Distinct mechanisms, catalogue, degree of freedom.

Full Text:

PDF

References


Uicher J.J. and Raicu A. A method for identification and recognition of equivalence of kinematic chains. Mech. Mach. Theory, 1975;10; 375-383.

Yan, H.S., and Hall, A.S. Linkage characteristic polynomials: definition, coefficients by inspection. ASME, Journal of Mechanical Design, 1981, 103, 578.

Mruthyunjaya, T.S. and Balasubramanium, H.R. In quest of a reliable and efficient computational test for detection of isomorphism in KC. Mechanism and Machine Theory, 1987,22(2), 131-139.

W.J. Sohn, F. Freudenstein, An application of dual graphs to the automatic generation of the kinematic structures of mechanisms, ASME J. Mech. Des. ,1986,108 , 392–398.

Zongyu Chang, Ce Zhang, Yuhu Yang and Yuxin Wang, A new method to mechanism kinematic chain isomorphism identification,” Mechanism and Machine Theory, 2002, 37, 411.

Chu, Jin-Kui and Cao Wei-Qing, Identification of isomorphism of KC and Inversions using Link’s adjacent-chain- table, Mech Mach Theory , 1992,29(1) 53-58.

A. G. Ambekar† and V. P. Agrawal, Identification of kinematic chains, mechanisms, path generators and function generators using min codes Identification des chaînes cinématiques, des mecanismes, des generateurs de trajectores et de fonctions en utilisant des codes minimums. “Mechanism and Machine Theory, 1987,22 (5),463-471

Rao. A.C., Kinematic chains, Isomorphism, inversions and type of freedom using the concept of Hamming distance, Indian J. of Tech., 1988,26, 105-109.

A.C. Rao, Hamming number technique-2, generation of n planar kinematic chains, Mech. Mach. Theory ,1997,32 (4) 489–499.

A.C. Rao, P.B. Deshmukh, Computer aided structural synthesis of planar kinematic chains obviating the test for isomorphism, Mech. Mach. Theory ,2001, 36 (4) 489–506.

A.C. Rao, Genetic algorithm for topological characteristics of kinematic chains, ASME J. Mech. Des., 2000, 122 (2) 228–231.

Kong, F.G., Q. Li, and. Zhang, W.J,An artificial neural network approach to mechanism kinematic chain isomorphism identification, Mechanism and Machine Theory, 1999, 34 (2), 271-283.

E.A. Butcher, C. Hartman, Efficient enumeration and hierarchical classification of planar simple-jointed kinematic chains: Application to 12- and 14-bar 1 DOF chains, in: Mech-mach. Theory , 2005, 40, 1030- 1050.

M. Huang, A.H. Soni, Application of linear and nonlinear graphs in structural synthesis of kinematic chains, J. Eng. Ind. ASME Trans., Ser. B 95 (1973) 525–532.

H.S. Yan, A.S. Hall, Linkage characteristic polynomials: assembly, theorems, uniqueness, ASME J. Mech. Des., 1982 , 104 (1) 11–20.

T.S. Mruthyunjaya, Kinematic structure of mechanisms revisited, Mech. Mach. Theory ,2003 , 38 (4) ,279–320.

Eric A. Butcher, Chris Hartman, Efficient enumeration and hierarchical classification of planar simple-jointed kinematic chain: application to 12- and 14-bar single degree-of freedom chains, Mech. Mach. Theory , 2005, 40 (12) , 1030–1050.

Z.Y. Chang, C. Zhang, Y.H. Yang, et al., A new method to mechanism kinematic chain isomorphism identification, Mech. Mach. Theory , 2002 ,37 (4) 411–417.

J.P. Cubillo, J.B. Wan, Comments on mechanism kinematic chain isomorphism identification using adjacent matrices, Mech. Mach. Theory, 2005 , 40 (2) 31–139.

J.K. Shin, S. Krishnamurty, Development of a standard code for colored graphs and its application to kinematic chains, ASME J. Mech. Des., 1992 , 114 (1) 89–196.

J.K. Shin, S. Krishnamurty, On identification and canonical numbering of pin jointed kinematic chains, ASME J. Mech. Des., 1994 , 116182–188.

D.G. Olson, T.R. Thompson, D.R. Riley, et al., An algorithm for automatic sketching of planar kinematic chains, ASME J. Mech. , 1985,107 106–111.

W. Chieng, D.A. Hoeltzel, A combinatorial approach for the automatic sketching of planar kinematic chains and epicyclic gear trains, ASME J. Mech. Des. ,1990, 112, 6–15.

N.P. Belfiore, E. Pennestri, Automatic sketching of planar kinematic chains, Mech. Mach. Theory, 1994 ,9 (1), 177–193.

S. Mauskar, S. Krishnamurty, A loop configuration approach to automatic sketching of mechanisms, Mech. Mach. Theory, 1996 , 31 (4) ,423–437.

H.F. Ding, Z. Huang, A unique representation of the kinematic chain and the atlas database, in : Mech-mach. Theory , 2007 , 42,637- 651

H.F. Ding, Z. Huang, A new theory for the topological structure analysis of kinematic chains and its applications, in: Mech-mach. Theory ,2007,42, 1264- 1279.

H.F. Ding, Z. Huang, Isomorphism identification of graphs: Especially for the graphs of kinematic chains, in: Mech-Mach. Theory, 2009,44, 122- 139.

H.F. Ding, Z. Huang, The establishment of the Canonical Perimeter Topological graph of kinematic chains and isomorphism identification, in: Journal of mechanical design Sep. ,2007, Vol. 129/915

Hasan A.,et.al. Systematic Development of Kinematic Chains and Mechanisms from a given Assortment of Links ,Journal of ‘Institution of Engineers (India), 2007, Vol. 88,.15-19 .

Hasan A.,et.al. “Isomorphism and Inversions of Kinematic Chains up to 10 Links”, Journal of ‘Institution of Engineers (India), 2009 Vol. 90, 10-14.

Dargar A. , Khan R..A.,Hasan A., Identification of Isomorphism among Kinematic Chains and Inversions Using Link Adjacency Values, International J. of Mech. and Materials Engineering (IJMME), (2009), 309-315, No.3, Vol. 4

Dargar A. , Khan R..A.,Hasan A., Application of Link Adjacency Values to Detect Isomorphism among Kinematic Chains ,Int. J. Mech. Mater. Design,2010, 6,157-162..

Rizvi S.S.H., Hasan A., Khan R.A.,A New for distinct inversions and isomorphism detection in kinematic chains, Int. J. Mechanisms and Robotic Systems, Inderscience Enterprises Ltd,2016, Vol. 3, No. 1, 48-59.

Rizvi S.S.H., Hasan A., Khan R.A., An efficient algorithm for distinct inversions and isomorphism detection in kinematic chains, Perspectives in Science (Elsevier) , 2016,8, 251-253.

Mohd Shadab Alam , Mohd. Suhaib and Aas Mohd, Isomorphism identification and Structural Similarity & Dissimilarity Among The Kinematic Chains Based On [WSSP] Matrix, International Research Journal of Engineering and Technology,2017, Volume: 04 Issue: 08 ,467-474.

Hasan A, Ph.D.thesis .Some Studies on Characterization and Identification of Kinematic Chains and Mechanisms. Jamia Millia Islamia, New Delhi,India,2007.

Preben W. Jensen, “Classical and Modern Mechanism for Engineers and Inventors”, Marcel Decker, Inc, New York 1991.


Refbacks

  • There are currently no refbacks.