Dynamic Analysis of Elastic Link Mechanisms by Reduction of CoordinatesSource: Journal of Manufacturing Science and Engineering:;1972:;volume( 094 ):;issue: 002::page 577Author:R. C. Winfrey
DOI: 10.1115/1.3428197Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Techniques for the solution of linear matrix differential equations have previously been applied to the dynamic analysis of a mechanism. However, because the mechanism changes geometry as it rotates, a large number of solutions are necessary to predict the mechanism’s elastic behavior for even a few revolutions. Also, a designer is frequently concerned with the elastic behavior of only one point on the mechanism and has no practical interest in a complete solution. For these reasons, a method is given here for reducing the total number of coordinates to one coordinate at the point of design interest. A considerable saving in computational time is obtained since the dynamic solution involves one degree of freedom instead of many. Further, since any solution will make use of some limiting assumptions, results here indicate that, for design purposes, reducing the coordinates does not significantly affect comparable accuracy.
keyword(s): Dynamic analysis , Mechanisms , Elasticity , Design , Differential equations , Degrees of freedom AND Geometry ,
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contributor author | R. C. Winfrey | |
date accessioned | 2017-05-09T01:35:13Z | |
date available | 2017-05-09T01:35:13Z | |
date copyright | May, 1972 | |
date issued | 1972 | |
identifier issn | 1087-1357 | |
identifier other | JMSEFK-27572#577_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/163146 | |
description abstract | Techniques for the solution of linear matrix differential equations have previously been applied to the dynamic analysis of a mechanism. However, because the mechanism changes geometry as it rotates, a large number of solutions are necessary to predict the mechanism’s elastic behavior for even a few revolutions. Also, a designer is frequently concerned with the elastic behavior of only one point on the mechanism and has no practical interest in a complete solution. For these reasons, a method is given here for reducing the total number of coordinates to one coordinate at the point of design interest. A considerable saving in computational time is obtained since the dynamic solution involves one degree of freedom instead of many. Further, since any solution will make use of some limiting assumptions, results here indicate that, for design purposes, reducing the coordinates does not significantly affect comparable accuracy. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Dynamic Analysis of Elastic Link Mechanisms by Reduction of Coordinates | |
type | Journal Paper | |
journal volume | 94 | |
journal issue | 2 | |
journal title | Journal of Manufacturing Science and Engineering | |
identifier doi | 10.1115/1.3428197 | |
journal fristpage | 577 | |
journal lastpage | 581 | |
identifier eissn | 1528-8935 | |
keywords | Dynamic analysis | |
keywords | Mechanisms | |
keywords | Elasticity | |
keywords | Design | |
keywords | Differential equations | |
keywords | Degrees of freedom AND Geometry | |
tree | Journal of Manufacturing Science and Engineering:;1972:;volume( 094 ):;issue: 002 | |
contenttype | Fulltext |