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Tandem mill scheduling as a two point boundary value problem

โœ Scribed by G.F. Bryant; J.M. Halliday; P.D. Spooner


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
858 KB
Volume
9
Category
Article
ISSN
0005-1098

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โœฆ Synopsis


Schedules for a tandem cold rolling mill may be obtained by solving a constrained, two point boundary value, optimisation problem using conjugate gradient techniques.

Summary--We consider the problem of a tandem cold roiling mill to achieve correct output gauge, and satisfactory shape, and surface finish. The essential process variables are roll force, shape and thermal roll crown. The formulation of the equations for these key variables is described. The scheduling problem is formulated as a constrained two point boundary value problem. This is solved using conjugate gradient and projection techniques developed for optimal control problems. Results showing the improvements which can be made in strip shape and general mill operating conditions, by optimising the schedules, are included and discussed.


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We improve the results obtained by the first author in a recent paper where a problem raised by A. Ambrosetti, H. Brezis, and G. Cerami concerning the exact structure of the set of solutions for a class of two-point boundary value problems was solved. Here we study a more general problem and get mor