Markov Chain Models of Grinding Profiles

[+] Author and Article Information
H. T. McAdams

Applied Physics Department, Cornell Aeronautical Laboratory, Inc., Buffalo, N. Y.

J. Eng. Ind 86(4), 383-387 (Nov 01, 1964) (5 pages) doi:10.1115/1.3670569 History: Received January 23, 1964; Online December 08, 2011


Profiles of abrasive surfaces are analyzed by means of Markov chain theory. The Chapman-Kolmogorov equations, together with recurrent-event theory, are used to deduce theoretical distributions for such important statistics as the distances between effective cutting points and the lengths of lands on a worn grinding surface. Both first-order and second-order Markov chains are examined for their applicability to a stochastic model of the grinding process.

Copyright © 1964 by ASME
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