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contributor authorLung-Wen Tsai
date accessioned2017-05-08T23:25:15Z
date available2017-05-08T23:25:15Z
date copyrightSeptember, 1987
date issued1987
identifier issn1050-0472
identifier otherJMDEDB-28079#329_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/102737
description abstractIn this paper, a random number technique for computing the value of a linkage characteristic polynomial is shown to be an effective method for identifying isomorphic graphs. The technique has been applied to the topological synthesis of one-degree-of-freedon, epicyclic gear trains with up to six links. All the permissible graphs of epicyclic gear trains were generated by a systematic procedure, and the isomorphic graphs were identified by comparing the values of their corresponding linkage characteristic polynomials. It is shown that there are 26 nonisomorphic rotation graphs and 80 displacement nonisomorphic graphs from which all the six-link, one-degree-of-freedom, epicyclic gear trains can be derived.
publisherThe American Society of Mechanical Engineers (ASME)
titleAn Application of the Linkage Characteristic Polynomial to the Topological Synthesis of Epicyclic Gear Trains
typeJournal Paper
journal volume109
journal issue3
journal titleJournal of Mechanical Design
identifier doi10.1115/1.3258798
journal fristpage329
journal lastpage336
identifier eissn1528-9001
keywordsPlanetary gears
keywordsLinkages
keywordsPolynomials
keywordsTrains
keywordsDisplacement AND Rotation
treeJournal of Mechanical Design:;1987:;volume( 109 ):;issue: 003
contenttypeFulltext


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