Efficient Computational Techniques for Planetary Gear Train Analysis
We propose a novel analysis tool for planetary gear train representation. This extends the traditional concept of a lever representation of a planetary gear set to one that includes negative lever ratios. The resulting framework allows an exhaustive permutation of the nodes of a lever, thereby leading to all possible topological arrangements of a planetary gear train. Consequently, we achieve compact representations of large families of planetary gear trains, which would otherwise have to be dealt with on a case-by-case basis.
IJSRD-International Journal for Scientific Research & Development| Vol. 3, Issue 02, 2015 | ISSN (online): 2321-0613
The improvement the quality ring and rotor after doubling is depend upon single and double twist factor. S/Z rotor yarns have bigger diameter than S/Z twist factor. The twist over doubling of low twist rotor spun singles results in significant improvement in the tenacity of rotor yarn and the differences in the strength of ring and rotor spun yarns is considerably reduced. The breaking extension of doubled rotor yarns was greater than that of ring spun yarns for balance twist but lower for twist over twist doubling irrespective of twist multiplier of singles. Improvement in the imperfection of both type of yarn after doubling. In case of tenacity rotor yarn shows more improvement in the double yarn than ring double yarn.
An efficient methodology for the structural synthesis of geared kinematic chains
Abstract Through the use of acyclic graphs, an efficient methodology has been developed for the synthesis of the kinematic structure of geared kinematic chains with any number of links. First, a systematic approach is proposed for the enumeration of N-vertex acyclic graphs. For each N-vertex acyclic graph, all the N-vertex geared graphs are generated by adding (N — F — 1) geared edges to the acyclic graphs, eliminating geared graphs which violate the fundamental rules, and non-isomorphic geared graphs are obtained by comparing the structural codes. Finally, the catalog of the graphs of one-degree-of-freedom (DOF) geared kinematic chains with N links are synthesized from the catalog of acyclic graphs with N vertices. As a result, the structural synthesis of one-DOF geared kinematic chains with up to eight links has been successfully constructed.