contributor author | C. W. Wampler | |
contributor author | A. J. Sommese | |
contributor author | A. P. Morgan | |
date accessioned | 2017-05-08T23:39:12Z | |
date available | 2017-05-08T23:39:12Z | |
date copyright | March, 1992 | |
date issued | 1992 | |
identifier issn | 1050-0472 | |
identifier other | JMDEDB-27594#153_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/110666 | |
description abstract | The 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. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Complete Solution of the Nine-Point Path Synthesis Problem for Four-Bar Linkages | |
type | Journal Paper | |
journal volume | 114 | |
journal issue | 1 | |
journal title | Journal of Mechanical Design | |
identifier doi | 10.1115/1.2916909 | |
journal fristpage | 153 | |
journal lastpage | 159 | |
identifier eissn | 1528-9001 | |
keywords | Kinematics | |
keywords | Algorithms | |
keywords | Computers AND Polynomials | |
tree | Journal of Mechanical Design:;1992:;volume( 114 ):;issue: 001 | |
contenttype | Fulltext | |