Optimal Open-Loop Ram Velocity Profiles for Isothermal Forging: A Variational Approach

[+] Author and Article Information
J. M. Berg

Mechanical Engineering Department, Texas Tech University, Lubbock, TX 79409-1021

W. Garth Frazier

USAF Wright Laboratory, WL/MLIM, WPAFB, OH 45433

A. Chaudhary

Applied Optimization, Centerville, OH 45458

S. S. Banda

USAF Wright Laboratory, WL/FIGC, WPAFB, OH 45433-7531

J. Manuf. Sci. Eng 120(4), 774-780 (Nov 01, 1998) (7 pages) doi:10.1115/1.2830220 History: Received June 01, 1996; Revised September 01, 1997; Online January 23, 2008


This paper considers the problem of selecting the ram velocity profile in an isothermal forging, to best obtain a desired material microstructure. This is to be accomplished by tracking a prescribed strain rate profile. A weighting function, reflecting the rate at which the microstructure is transforming, describes the relative importance of different parts of the billet. Finding the optimal solution generally requires a search over an infinite-dimensional function space. However, for a certain class of forgings the task reduces to solving a single ordinary differential equation. The result is a globally optimal and unique ram velocity profile. The method is demonstrated for the simulated forging of a TiAl turbine disk.

Copyright © 1998 by The American Society of Mechanical Engineers
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