Finite Burmester Theory in Plane Kinematics

[+] Author and Article Information
E. J. F. Primrose

University of Leicester, England

F. Freudenstein

Columbia University, New York, N. Y.

G. N. Sandor

Yale University, New Haven, Conn.

J. Appl. Mech 31(4), 683-693 (Dec 01, 1964) (11 pages) doi:10.1115/1.3629731 History: Received August 02, 1963; Revised January 09, 1964; Online September 15, 2011


A unified treatment is presented of certain portions of Burmester theory by including finite as well as infinitesimal displacements. Theorems of R. Mueller concerning collinearity, order of contact, symmetry, and location of the Burmester points associated with infinitesimal, coplanar displacements of a plane, are extended to the more general case of arbitrary, coplanar displacements. Additional extensions relate to a recent study of infinitesimal displacements by G. R. Veldkamp [27] and, in some instances, are not related to earlier studies. The results of the present investigation are summarized in Table 2.

Copyright © 1964 by ASME
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