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 Optimal Control of Tube Drawing Processes. Theory, Algorithms, and Numerics
Наименование:

Optimal Control of Tube Drawing Processes. Theory, Algorithms, and Numerics

автор Azhar I.K.B. издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 128        мягкая обложка       
Аннотация:Then Lagrange functional associated with minimization problem is introduced and the first and the second order optimality conditions are derived. By defining the cost functional, we formulated the optimal control problem. 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. 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. Existence and uniqueness of the solutions of stationary isothermal model is also proved. 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. We also proved the existence and uniqueness of the solutions of the stationary isothermal model. Numerical results are obtained for two different cases.
Автор: Azhar I.K.B.
Издательство: Книга по Требованию
Год:2010
Цена:
2415 руб
Нет в наличии
Поиск: Optimal Control of Tube Drawing Processes. Theory, Algorithms, and Numerics


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