Petr Salač

The cooling of the pressing device in the glass industry

In this article we investigate the problem of shape optimization of the cooling cavity of the plunger used in the forming process in the glass industry. A rotationally symmetrical system consisting of the mould, the glass piece, the plunger and the plunger cavity is considered. The state problem is given as a stationary head conduction equation. The system has a given heat source which represents the glass piece and is cooled by flowing water inside the plunger cavity and by the environment of the mould on the outside. The design variable is taken to be the shape of inner surface of the plunger cavity. According to the results of the verification experiments, it is possible to claim that the numerical optimization that was achieved brought about a significant improvement. Further an unsteady periodic experiment representing the cyclical movement in a realistic working mode was performed to examine the effect of replacing it with the static model.

Shape optimization of the current body located in the cooling canal

The contribution is the second step of the optimization process introduced on AMEE’13 where the position of cooling canal was searched. In this paper the outward shape of the regulation current body located in the axis of the system is optimized to obtain required temperature on the outward surface of the tube. The algorithm was designed and debugged for simplified model, in which the plunger is replaced by the tube, which is surrounded by thermal source representing cooled glass moulded piece from outward, and the cooling water of temperature 15°C on input flowing through. The state problem is formulated as a stationary heat conduction process. The cost functional is taken as the second power of L2 distance of temperature from the given constant value on the outward boundary of the tube. The results of the numerical optimization to three required target temperatures 700, 750 and 800°C of the outward tube surface together with the distribution of temperatures on the interface between the tube and the heat...

Numerical solution of optimal design for axisymmetrical cooling canal

In this article we investigate the problem of shape optimization of the cooling cavity of the plunger used in the forming process in the glass industry. The paper deals with finding the algorithm for optimization of the shape of inner canal of plunger in such a way, that its outward surface, which realizes cooling of moulded piece, is attained constant set temperature. The results of the numerical optimization to three required target temperatures 700, 750 and 800°C of the surface Γ1 together with the distribution of temperatures on the interface Γ1 between the body and the heat source before and after the optimization process are presented.

Estimation of Fractal Dimension and Statistical Tools for Surface Evaluation

Fractal geometry is a useful tool for describing the complexity of structured data. However, fractal geometry does not substitute for other tools like statistics and should be used with other parameters for general analysis. Hence, the sensitivity to changes in complex data is studied here. For this purpose, samples with structured surfaces produced with different technologies and properties were measured and evaluated with many types of parameters. The parameters were compared and a selection of the results is presented in this article.

Problem of Determination of Optimal Supports Position for Jumbo Flat Glass with Free Edges

Recent trends in architecture are characterized with wide applications of laminated glass plates in facing systems of high-rise buildings, where the plates are oriented in both vertical and horizontal planes. This paper deals with mathematical description of optimization problem for location of finite number of rigid supports horizontally placed on jumbo flat glass plate with free edges. Associated state problem corresponding to Kirchhoff’s hypothesis of plate theory is solved. Further the optimization problem for finding location of the finite number of rigid supports, with respect to the condition for minimal deflection of the plate in the sense of 1 C -norm, is solved. Theoretical results are used in numerical simulation by the finite element method (FEM). It allows us to reduce the computation time for solution of real projects. Further application of such results is for example in the area of automatic handling in the flat glass production in the case of engineering design for location of vacuum gripping heads components of handling devices.