Generation of Epicyclic Gear Trains of One Degree of Freedom-Reference-Cited by-同舟云学术

Generation of Epicyclic Gear Trains of One Degree of Freedom

Published:2008-04-08 Issue:5 Volume:130 Page:
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Rao Y. V. D.¹,Rao A. C.²

Affiliation:

1. Mahaveer Institute of Science and Technology (MIST), 22-49/4, II Floor, SR Residency, V V Nagar, Dilsukhnagar, Hyderabad, Andhra Pradesh 500 060, India

2. Disha Institute of Management and Technology, DIMT, Indore, India

Abstract

New planetary gear trains (PGTs) are generated using graph theory. A geared kinematic chain is converted to a graph and a graph in turn is algebraically represented by a vertex-vertex adjacency matrix. Checking for isomorphism needs to be an integral part of the enumeration process of PGTs. Hamming matrix is written from the adjacency matrix, using a set of rules, which is adequate to detect isomorphism in PGTs. The present work presents the twin objectives of testing for isomorphism and compactness using the Hamming matrices and moment matrices.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/doi/10.1115/1.2890107/5923982/052604_1.pdf

Reference12 articles.

1. Structure and Analysis of Planetary Gear Trains;Levai;J. Mech.

2. Synthesis of Kinematic Structure of Geared Kinematic Chains and Other Mechanisms;Buchsbaum;J. Mech.

3. Computerized Synthesis of Structure of Geared Kinematic Chains;Ravishankar;Mech. Mach. Theory

4. An Application of the Linkage Characteristic Polynomial to the Topological Synthesis of Epicyclic Gear Trains;Tsai;ASME J. Mech., Transm., Autom. Des.

5. An Efficient Methodology for the Structural Synthesis of Geared Kinematic Chains;Hsu;Mech. Mach. Theory

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