Finite-Position Theory Applied to Mechanism Synthesis

[+] Author and Article Information
B. Roth

Mechanical Engineering Department, Stanford University, Stanford, Calif.

J. Appl. Mech 34(3), 599-605 (Sep 01, 1967) (7 pages) doi:10.1115/1.3607749 History: Received November 12, 1965; Revised September 26, 1966; Online September 14, 2011


The well-known finite-position planar theory of kinematic synthesis (the so-called Burmester theory) and the corresponding spherical theory are derived from the results of the general spatial theory which has been given in a companion paper [1]. Other special displacements studied are those for which the author has coined the names “similarity transformation,” “pseudoplanar,” and “pseudospherical.” These results, as well as those obtained in [1], are shown to be applicated to the synthesis of spatial, spherical, and planar linkages. Several numerical examples are presented.

Copyright © 1967 by ASME
Topics: Linkages , Mechanisms
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