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contributor authorC. W. Wampler
contributor authorA. J. Sommese
contributor authorA. P. Morgan
date accessioned2017-05-08T23:39:12Z
date available2017-05-08T23:39:12Z
date copyrightMarch, 1992
date issued1992
identifier issn1050-0472
identifier otherJMDEDB-27594#153_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/110666
description abstractThe problem of finding all four-bar linkages whose coupler curve passes through nine prescribed points has been a longstanding unsolved problem in kinematics. Using a combination of classical elimination, multihomogeneous variables, and numerical polynomial continuation, we show that there are generically 1442 nondegenerate solution along with their Roberts cognates, for a total of 4326 distinct solutions. Moreover, a computer algorithm that computes all solutions for any given nine points has been developed.
publisherThe American Society of Mechanical Engineers (ASME)
titleComplete Solution of the Nine-Point Path Synthesis Problem for Four-Bar Linkages
typeJournal Paper
journal volume114
journal issue1
journal titleJournal of Mechanical Design
identifier doi10.1115/1.2916909
journal fristpage153
journal lastpage159
identifier eissn1528-9001
keywordsKinematics
keywordsAlgorithms
keywordsComputers AND Polynomials
treeJournal of Mechanical Design:;1992:;volume( 114 ):;issue: 001
contenttypeFulltext


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