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TECHNICAL BRIEFS

A Dynamic State Model for On-Line Tool Wear Estimation in Turning

[+] Author and Article Information
K. Danai

Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125

A. G. Ulsoy

University of Michigan, Ann Arbor, MI 48109-2125

J. Eng. Ind 109(4), 396-399 (Nov 01, 1987) (4 pages) doi:10.1115/1.3187145 History: Received March 07, 1987; Online July 30, 2009

Abstract

This paper proposes a dynamic state model of tool wear. This model is developed for the design of an adaptive observer which is used for on-line tool wear sensing in turning based on force measurement. The model treats flank wear and crater wear as state variables, cutting force as the output, and feed as the input. Relationships from the manufacturing literature are used in constructing this nonlinear model. Simulation results are presented for the nonlinear model, and eigenanalysis and controllability and observability analyses are performed on a linear model obtained by linearizing the nonlinear model about an operating point along its trajectory. The simulation results show good agreement with results in the manufacturing literature. The eigenanalysis shows the linear model to be unstable, reflecting the continually increasing nature of the wear processes modeled; and the model is shown to be controllable by feed and observable by cutting force for the cutting conditions considered in the paper.

Copyright © 1987 by ASME
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