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Optimal Control of a Drying Process with Avoiding Cracks

Publication date: 20.12.2012

Schedae Informaticae, 2012, Volume 21, pp. 81 - 105

https://doi.org/10.4467/20838476SI.12.006.0816

Authors

,
Alexander Galant
Fakultät Maschinenwesen, Technische Universität Dresden 01062 Dresden, Germany
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,
Christian Grossmann
Dresden University of Technology, Dresden, Saxony, Germany
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,
Michael Scheffler
Fakultät Maschinenwesen, Technische Universität Dresden 01062 Dresden, Germany
All publications →
Jörg Wensch
All publications →

Titles

Optimal Control of a Drying Process with Avoiding Cracks

Abstract

The paper deals with the numerical treatment of the optimal control of drying of materials which may lead to cracks. The drying process is controlled by temperature, velocity and humidity of the surrounding air. The state equations de ne the humidity and temperature distribution within a simpli ed wood specimen for given controls. The elasticity equation describes the internal stresses under humidity and temperature changes. To avoid cracks these internal stresses have to be limited. The related constraints are treated by smoothed exact barrier-penalty techniques. The objective functional of the optimal control problem is of tracking type. Further it contains a quadratic regularization by an energy term for the control variables (surrounding air) and barrier-penalty terms.
The necessary optimality conditions of the auxiliary problem form a coupled system of nonlinear equations in appropriate function spaces. This optimality system is given by the state equations and the related adjoint equations, but also by an approximate projection onto the admissible set of controls by means of barrier-penalty terms. This system is discretized by nite elements and treated iteratively for given controls. The optimal control itself is performed
by quasi-Newton techniques.

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Information

Information: Schedae Informaticae, 2012, Volume 21, pp. 81 - 105

Article type: Original article

Titles:

Polish:

Optimal Control of a Drying Process with Avoiding Cracks

English:

Optimal Control of a Drying Process with Avoiding Cracks

Authors

Fakultät Maschinenwesen, Technische Universität Dresden 01062 Dresden, Germany

Dresden University of Technology, Dresden, Saxony, Germany

Fakultät Maschinenwesen, Technische Universität Dresden 01062 Dresden, Germany

Published at: 20.12.2012

Article status: Open

Licence: None

Percentage share of authors:

Alexander Galant (Author) - 25%
Christian Grossmann (Author) - 25%
Michael Scheffler (Author) - 25%
Jörg Wensch (Author) - 25%

Article corrections:

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Publication languages:

English

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