Table of Contents
ISRN Mechanical Engineering
Volume 2011, Article ID 309691, 11 pages
Research Article

Modeling and Control of Cutter Vibration in the Presence of Random Distribution of Microhardness of Workpiece and Nonlinear Cutting Forces in Lathe Process

Mechanical Engineering Department, American University of Sharjah, Sharjah, P.O. Box 26666, Sharjah, UAE

Received 2 June 2011; Accepted 18 July 2011

Academic Editors: K. Yasuda and D. Zhou

Copyright © 2011 A. H. El-Sinawi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work presents a comprehensive approach to the control of tool's position, in the presence of machine tool structure vibration, nonlinear cutting force, and random tool vibration due to random distribution of microhardness of workpiece material. The controller is combination of Proportional and linear quadratic gaussian- (P-LQG-) type constructed from an augmented model of both tool-actuator dynamics and a nonlinear dynamic model relating tool displacement to cutting forces. The latter model is obtained using black-box system identification of experimental orthogonal cutting data in which tool displacement is the input and cutting force is the output. The controller is evaluated and its performance is demonstrated.