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RESEARCH PAPERS

Instantaneous Kinematics of a Tangent-Plane in Two-Parameter Space Motion

[+] Author and Article Information
D. P. Sathyadev

Center for Advanced Manufacturing Systems, Dept. of Mechanical and Industrial Engineering, University of Cincinnati, Cincinnati, OH 45221

A. H. Soni

Dept. of Mechanical and Industrial Engineering, University of Cincinnati, Cincinnati, OH 45221

J. Mech. Des 116(1), 210-214 (Mar 01, 1994) (5 pages) doi:10.1115/1.2919349 History: Received March 01, 1988; Online June 02, 2008

Abstract

A tangent-plane undergoing two-parameter motion envelopes a surface called the tangent-plane envelope. Such surfaces can be considered as the envelope of a two-parameter family of planes or ∞2 family of planes. The properties of the tangent-plane motion are characterized through the properties of the spherical image of the normal to the surface it envelopes. This paper presents a methodology to locate a family of planes that envelope surfaces with similar characteristics.

Copyright © 1994 by The American Society of Mechanical Engineers
Topics: Kinematics , Motion
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