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RESEARCH PAPERS

Vector Analysis of Linkages

[+] Author and Article Information
Milton A. Chace

Department of Mechanical Engineering, University of Michigan, Ann Arbor, Mich.

J. Eng. Ind 85(3), 289-297 (Aug 01, 1963) (9 pages) doi:10.1115/1.3669867 History: Received February 28, 1962; Online December 09, 2011

Abstract

Expression of vectors in spherical coordinates within an appropriately defined reference frame facilitates explicit, general solutions to a wide range of linkage problems. To demonstrate this, a position, velocity, and acceleration analysis is performed on an example of each of three linkage types: simple, complex, and spatial. Also, the mechanical advantage and the transmission criterion of a four-bar spatial linkage are determined. Solutions are obtained in a form which simplifies digital computer programming.

Copyright © 1963 by ASME
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