RESEARCH PAPERS: Vibrations Papers

Dynamic Analysis of Elastic Link Mechanisms by Reduction of Coordinates

[+] Author and Article Information
R. C. Winfrey

Naval Civil Engineering Laboratory, Port Hueneme, Calif.

J. Eng. Ind 94(2), 577-581 (May 01, 1972) (5 pages) doi:10.1115/1.3428197 History: Received June 11, 1971; Online July 15, 2010


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.

Copyright © 1972 by ASME
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