RESEARCH PAPERS: Mechanisms Papers

Incompletely Specified Displacements: Geometry and Spatial Linkage Synthesis

[+] Author and Article Information
Lung-Wen Tsai, Bernard Roth

Department of Mechanical Engineering, Stanford University, Stanford, Calif.

J. Eng. Ind 95(2), 603-611 (May 01, 1973) (9 pages) doi:10.1115/1.3438197 History: Received June 06, 1972; Online July 15, 2010


The screw axis geometry associated with displacements of points and lines is studied. Analytical expressions are developed for rigid body screw displacements which have one or more free parameters. It is shown how to apply these results to the synthesis of spatial linkages. The theory is illustrated by numerical examples in which Cylindric-Cylindric cranks are designed to guide two points in a rigid body through five and then nine specified positions.

Copyright © 1973 by ASME
Topics: Linkages , Geometry , Screws
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