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RESEARCH PAPERS: Mechanism Papers

Instantaneous Kinematics of a Plane in Space Motion

[+] Author and Article Information
K.-L. Ting, A. H. Soni

Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, Okla. 74078

J. Mech., Trans., and Automation 105(3), 552-559 (Sep 01, 1983) (8 pages) doi:10.1115/1.3267394 History: Received June 10, 1982; Online November 19, 2009

Abstract

A plane under a one-parameter motion envelops a surface called a plane-envelope which is a developable (torse). The properties of a plane-envelope are characterized through the properties of the edge of regression. The paper presents the methodology to obtain the families of planes whose envelopes have the common characteristics. Special cases including stationary plane, cylindrical developable, stationary generator, stationary-point, and helical developable are investigated. It is also shown that, in general, a plane embedded in a body executing Darboux motion envelops a helical developable.

Copyright © 1983 by ASME
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