Optimal Control of Tube Drawing Processes

Name: Optimal Control of Tube Drawing Processes
Brand: VDM Verlag Dr. Müller
SKU: 9783639257977
Price: 58.07 EUR
Availability: InStock

Theory, Algorithms, and Numerics

Autor: Azhar Iqbal Kashif Butt

Jazyk:

Väzba: Brožovaná

Vydavateľ: VDM Verlag Dr. Müller

Dostupnosť: U vydavateľa na objednávku

Odosielame za 17-27 dní

58.07 €

This study deals with the optimal control problems of the glass tube drawing processes where the aim...

Informácie o knihe

Autor

Azhar Iqbal Kashif Butt

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2010

Stránok

128

EAN

9783639257977

Enbook ID

06833211

Vydavateľ

VDM Verlag Dr. Müller

Hmotnosť

207

Rozmery

150 x 220 x 8

Kompletný popis

This study deals with the optimal control problems of the glass tube drawing processes where the aim is to control the cross-sectional area (circular) of the tube by using the adjoint variable approach. The process of tube drawing is modeled by four coupled nonlinear partial differential equations. These equations are derived by the axisymmetric Stokes equations and the energy equation by using the approach based on asymptotic expansions with inverse aspect ratio as small parameter. Existence and uniqueness of the solutions of stationary isothermal model is also proved. By defining the cost functional, we formulated the optimal control problem. Then Lagrange functional associated with minimization problem is introduced and the first and the second order optimality conditions are derived. We also proved the existence and uniqueness of the solutions of the stationary isothermal model. We implemented the optimization algorithms based on the steepest descent, nonlinear conjugate gradient, BFGS, and Newton approaches. In the Newton method, CG iterations are introduced to solve the Newton equation. Numerical results are obtained for two different cases.

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Optimal Control of Tube Drawing Processes

Theory, Algorithms, and Numerics

Informácie o knihe

Kompletný popis

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Zákazníci, ktorí si kúpili túto knihu, kúpili tiež