Effect of Symmetry on Structures of Epicyclic Gear Trains

Authors

  • Rajasri Reddy
  • Avssks Gupta
  • Daseswara Rao Yendluri

Keywords:

epicyclic gear trains, adjaceny matrix, degree of freedom, isomorphism, symmetry, Hamming matrix

Abstract

An epicyclic gear train (EGT) can be denoted by a graph and this graph in turn represented by an adjaceny matrix. Hamming matrix is used to detect isomorphism and measure the structural aspect of symmetry in EGTs. More symmetry in EGTs results in higher number of structural arrangements as compared to EGTs with no or less symmetry.

References

R. Rajasri, Y. Rao, and A. Gupta, “Structural Aspects of Symmetry and Its Effects on Generation of Planetary Gear Trains,” 2011 International Conference on Mechanical and Aerospace Engineering, Mar. 2011, pp. 530-533.

R. Rajasri, A. Gupta, and Y. Rao “Influence of structural aspects on the generation process in planetary gear trains,” International Journal of Scientific Research, vol. 3, no. 10, pp. 1018-1021, Oct. 2011.

Z. Lévai, “Structure and analysis of planetary gear trains,” J. Mech, vol. 3, pp. 131-148, Aug. 1968.

J. J. Uicker and A. Raicu, “A method for the identification and recognition of equivalence of kinematic chains,” Mech. Mach. Theory, vol. 10, no. 5, pp. 375-383, 1975.

A. C. Rao and Y. V. D. Rao, “Symmetry in planetary gear trains,” Indian Journal of Engineering and Material Sciences, vol. 9, pp. 311-314, Oct. 2002.

L. W. Tsai, “An application of the linkage characteristic polynomial to the topological synthesis of epicyclic gear trains,” ASME Journal of Mechanisms, Transactions and Automation in Design, vol. 109, no. 3, pp. 329-336, 1987.

R. R. Shankar and T. S. Mruthyunjaya. ‘Computerized Synthesis of the Structure of General kinematic chains’, Mechanism and Machine Theory, vol. 20, no. 5, pp. 367-387, 1985.

A. C. Rao, “Hamming number technique I: further applications,” Mech. Mach. Theory, vol. 32, no. 4, pp. 477-488, May 1997.

A. C. Rao, “Comparison of linkage mechanisms,” Indian Journal of Technology, vol. 28, pp. 529-534, September 1990.

G. Chatterjee and L. W. Tsai, “Enumeration of epicyclic-type automatic transmission gear trains,” SAE Transactions, pp. 1415-1426.

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Published

2014-04-01

How to Cite

[1]
R. Reddy, A. Gupta, and D. R. Yendluri, “Effect of Symmetry on Structures of Epicyclic Gear Trains”, Int. j. eng. technol. innov., vol. 4, no. 2, pp. 77–85, Apr. 2014.

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