Optimal Open-Loop Ram Velocity Profiles for Isothermal Forging: A Variational Approach-Reference-Cited by-同舟云学术

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

Published:1998-11-01 Issue:4 Volume:120 Page:774-780
ISSN:1087-1357
Container-title:Journal of Manufacturing Science and Engineering
language:en
Short-container-title:

Author:

Berg J. M.¹,Frazier W. Garth²,Chaudhary A.³,Banda S. S.⁴

Affiliation:

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

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

3. Applied Optimization, Centerville, OH 45458

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

Abstract

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.

Publisher

ASME International

Subject

Industrial and Manufacturing Engineering,Computer Science Applications,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/manufacturingscience/article-pdf/120/4/774/5931901/774_1.pdf

Reference23 articles.

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2. Berg, J., Chaudhary, A., and Malas, J., 1995b, “Open-Loop Control of a Hot Forming Process,” Simulation of Materials Processing: Theory, Methods, and Applications, A. A. Balkema, Rotterdam, pp. 539–544, S.-F. Shen and P. R. Dawson, eds.

3. Chen, C.-C., 1978, “Finite Element Analysis of Plastic Deformation in Metal Forming Processes,” Ph.D. Thesis, University of California, Berkeley.

4. Grandhi R. , KumarA., ChaudharyA., and MalasJ., 1993, “State-Space Representation and Optimal Control of Non-Linear Material Deformation Using the Finite Element Method,” International Journal for Numerical Methods in Engineering, Vol. 36, pp. 1967–1986.

5. Guillard, S., 1994, “High Temperature Micro-Morphological Stability of the (α2 + γ) Lamellar Structure in Titanium Aluminides,” Ph.D. Thesis, Clemson University.

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