Markov Chain Models of Grinding Profiles

Author:

McAdams H. T.1

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

General Medicine

Cited by 13 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Stochastic Characteristics in Microgrinding Wheel Static Topography;Journal of Micro and Nano-Manufacturing;2014-02-21

2. Stochastic simulation approach to modelling diamond wheel topography;International Journal of Machine Tools and Manufacture;1997-06

3. Characterization of grinding-induced cracks in ceramics;International Journal of Mechanical Sciences;1995-09

4. Fractal and DDS characterization of diamond wheel profiles;Journal of Materials Processing Technology;1995-09

5. Characterisation of ground surface profiles—A comparison of AR, MA and ARMA modelling methods;International Journal of Machine Tools and Manufacture;1993-02

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