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Model of shell metal mould heating in the automotive industry

Jaroslav MlýnekRoman Knobloch — 2018

Applications of Mathematics

This article focuses on heat radiation intensity optimization on the surface of a shell metal mould. Such moulds are used in the automotive industry in the artificial leather production (the artificial leather is used, e.g., on car dashboards). The mould is heated by infrared heaters. After the required temperature is attained, the inner mould surface is sprinkled with special PVC powder. The powder melts and after cooling down it forms the artificial leather. A homogeneous temperature field of...

The classic differential evolution algorithm and its convergence properties

Roman KnoblochJaroslav MlýnekRadek Srb — 2017

Applications of Mathematics

Differential evolution algorithms represent an up to date and efficient way of solving complicated optimization tasks. In this article we concentrate on the ability of the differential evolution algorithms to attain the global minimum of the cost function. We demonstrate that although often declared as a global optimizer the classic differential evolution algorithm does not in general guarantee the convergence to the global minimum. To improve this weakness we design a simple modification of the...

Use of a differential evolution algorithm for the optimization of the heat radiation intensity

Mlýnek, JaroslavKnobloch, RomanSrb, Radek — 2015

Application of Mathematics 2015

This article focuses on the heat radiation intensity optimization on the surface of an aluminium shell mould. The outer mould surface is heated by infrared heaters located above the mould and the inner mould surface is sprinkled with a special PVC powder. This is an economic way of producing artificial leathers in the automotive industry (e.g. the artificial leather on car dashboards). The article includes a description of a mathematical model that allows us to calculate the heat radiation intensity...

The use of graphics card and nVidia CUDA architecture in the optimization of the heat radiation intensity

Mlýnek, JaroslavSrb, RadekKnobloch, Roman — 2015

Programs and Algorithms of Numerical Mathematics

The paper focuses on the acceleration of the computer optimization of heat radiation intensity on the mould surface. The mould is warmed up by infrared heaters positioned above the mould surface, and in this way artificial leathers in the automotive industry are produced (e.g. for car dashboards). The presented heating model allows us to specify the position of infrared heaters over the mould to obtain approximately even heat radiation intensity on the whole mould surface. In this way we can obtain...

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