Influence of Structural Aspects on the Generation Process in Planetary Gear Trains

I. Rajasri, AVSSKS Gupta, YVD Rao

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DOI: 10.4236/eng.2011.310126                

Abstract

Structural and rotational isomorphism in planetary Gear Trains (PGTs), is tested by Hamming number method. Symmetry in PGTs can be determined from the same Hamming matrix. Bearing of the structural property like symmetry in PGTs is studied and is used to evaluate its influence on generation of PGTs.

Keywords

Planetary Gear Trains, Generation Process of PGTs, Isomorphism, Symmetry, Structural Arrangements, Hamming Matrix

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	I. 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, New Delhi, 21-23 March 2011, pp. 530-533.
[2]	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. 199, No. 3, 1987, pp. 329-336. doi:10.1115/1.3258798
[3]	R. R.Shankar and T. S. Mruthyunjaya, “Computerized Synthesis of the Structure of General Kinematic Chains,” Mechanism and Machine Theory, Vol. 20, No. 5, 1985, pp. 367-387. doi:10.1016/0094-114X(85)90042-4
[4]	F. Buchsbaum and F. Freudenstein, “Synthesis of Kinematic Structure of Geared Kinematic Chains and Other Mechanisms,” Journal of Mechanisms, Vol. 5, 1970, pp. 357-392. doi:10.1016/0022-2569(70)90068-6
[5]	F. Freudenstein, “An Application of Boolean Algebra to the Motion of Epicyclic Drives,” ASME Journal of Engineering for Industry, Vol. 93, Series-B, 1971, pp. 176- 182
[6]	Z. Levai, “Structure and Analysis of Planetary gear trains,” Journal of Mechanisms, Vol. 3, No. 3, 1968, pp. 131-148. doi:10.1016/0022-2569(68)90352-2
[7]	G. Chatterjee and L.-W. Tsai, “Enumeration of Epicyclic Type Automatic Transmission Gear Trains,” Technical Report, ISR, 1995.
[8]	A. G. Ambekar and V. P. Agrawal, “Canonical Number-ing of Kinematic Chains and Isomorphism Problem,” Mecha-nism and Machine Theory, Vol. 22, No. 5, 1987, pp. 453-461. doi:10.1016/0094-114X(87)90062-0
[9]	A. C. Rao and Y. Rao, “Symmetry in Planetary Gear Trains,” Indian Journal of Engineering & Material Sciences, Vol. 9, October 2002, pp. 311-314.
[10]	Z. Y. Chang, C. Zhang, Y. H. Yang, et al., “A New Method to Mechanism Kinematic Chain Isomorphism Identification,” Mechanism and Machine Theory, Vol. 37, No. 4, 2002, pp. 411-417. doi:10.1016/S0094-114X(01)00084-2
[11]	A. C. Rao, “Ge-netic Algorithm for Topological Characteristics of Kinematic Chains,” Journal of Mechanical Design, Vol. 122, No. 2, 2000, pp. 228-231. doi:10.1115/1.533569
[12]	F. G. Kong, Q. Li and W. J. Zhang, “An Artificial Neural Network Approach to Mechanism Kine-matic Chain Isomorphism Identification,” Mechanism and Machine Theory, Vol. 34, No. 2, 1999, pp. 271-283. doi:10.1016/S0094-114X(98)00035-4
[13]	H. S. Yan and A. S. Hall, “Linkage Characteristic Polynomials: Assembly, Theo-rems, Uniqueness,” Journal of Mechanical Design, Vol. 104, No. 1, 1982, pp. 11-20. doi:10.1115/1.3256301
[14]	A Srinath. “Improved Synthesis of Planetary Gear Trains,” IE (I) Journal-MC, Vol. 86, October 2005, pp. 172-174.