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RESEARCH PAPERS: Systems

Geometrical Modeling of Surface Generation Through Wrapping

[+] Author and Article Information
N. Oancea

Department of Technology of Machine Building, University of Dunarea de Jos, Galati 6200, Romania

V. G. Oancea

Department of Civil and Environmental Engineering, Box 90288, Duke University, Durham, NC 27708-0288

J. Manuf. Sci. Eng 119(4B), 829-834 (Nov 01, 1997) (6 pages) doi:10.1115/1.2836831 History: Received March 01, 1995; Revised December 01, 1996; Online January 17, 2008

Abstract

A number of methods exist for determining profiles of cutting tools that work by wrapping. Most of these methods are based on the envelope theory and almost inevitably require cumbersome analytical formulations not always easy to resolve. This work presents a new method for studying conjugated surfaces associated with rolling axodes. Originally devised in an analytical form in a previous work of the first author, a purely numerical method is developed here based on a theorem which we call “the theorem of the minimal distance.” The advantage is twofold: first, geometrical modeling of tool profile calculation is possible even for profiles which cannot be described analytically; second, a very useful tool is provided for the inverse problem—starting from the measured cutting edges profiles, one can calculate the effectively generated surface on the workpiece. Several examples are shown for rack, shaper, and rotational cutters.

Copyright © 1997 by The American Society of Mechanical Engineers
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