Effect of Symmetry on Structures of Epicyclic Gear Trains
Keywords:epicyclic gear trains, adjaceny matrix, degree of freedom, isomorphism, symmetry, Hamming matrix
AbstractAn 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.
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