Title: Two-dimensional vibration suppression in turning using optimal control of the cutting tool

Authors: A.H. El-Sinawi

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

Abstract: Quality of a machined surface is affected by the cutting process variables such as, the depth of the cut, feed rate, part dimensions and tool wear. It is also affected by the vibration of the machine tool structure. In this work, an optimal control strategy is utilised for isolating the cutter from the vibration of the machine-tool in both the radial and feed directions. A random model with Gaussian distribution for the cutting process is constructed. The mean and variance of the distribution are proportional to depth of cut, feed rate and diameter of the workpiece. A reduced order Kalman estimator is used to estimate the states of the random process. Simulation results show that the proposed control strategy has managed to significantly reduce the dynamic displacement and acceleration of cutter with minimal force and calculation efforts even in the presence of significant randomness in the process and measurement noise.

Keywords: optimal control; turning process; active tool control; machining; Kalman estimator; vibration suppression; chatter; machine tool vibration; cutting modelling; depth of cut; feed rate; workpiece diameter; simulation.

DOI: 10.1504/IJMMM.2008.017627

International Journal of Machining and Machinability of Materials, 2008 Vol.3 No.1/2, pp.91 - 103

Published online: 23 Mar 2008 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article