Variational Formulation for Optimal Multi-Cycle Deep Drilling of Small Holes

[+] Author and Article Information
V. L. Zakovorotny, E. V. Bordatchev

Don State Technical University, Rostov-on-Don, Russia

T. S. Sankar

Universit du Quebec, École de technologic superieure, Montreal, H3C1K3, Canada

J. Dyn. Sys., Meas., Control 119(3), 553-560 (Sep 01, 1997) (8 pages) doi:10.1115/1.2801293 History: Received March 21, 1991; Revised November 13, 1995; Online December 03, 2007


A new variational approach is presented for the MCDDSH process that leads to the optimal values of switching of machining cycles and feed rate. The problem is formulated as a nonclassical variational problem that best models the dynamics and control of a MCDDSH machine. Twist drills are used in the MCDDSH process considered here. All the control parameters like cutting forces, external disturbances, output quality, etc. are considered. Physical realization of the optimal strategy is achieved by taking into account the stochastic variation of system parameters. Control algorithms that yield maximum productivity are developed. Also investigated are the set of machining process states for the MCDDSH process and the specification of optimal switching positions of the machining cycles. These correspond to the appropriate optimal feed-rate that yields the best result.

Copyright © 1997 by The American Society of Mechanical Engineers
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