The Process Of An Optimized Heat Radiation Intensity Calculation On A Mould Surface

Abstract

This article is focused on the optimization of heat radiation intensity across the surface of an aluminium mould. The mould is warmed by infrared heaters located above the mould surface, and in this way artificial leathers in the automotive industry are produced (e.g. the artificial leather on a car dashboard). This described model allows us to specify the location of infrared heaters over the mould to obtain approximately the same heat radiation intensity across the whole mould surface. In this way we can obtain a uniform material structure and colour tone across the whole surface of artificial leather. We used a genetic algorithm and the technique of "hill-climbing" during the optimization process. A computational procedure was programmed in the language Matlab.

Optimization Of A Heat Radiation Intensity And Temperature Field On The Mould Surface

“…Such a temperature distribution ensures a uniform material structure and colour shade on the whole leather surface. We obtained better results using the differential evolution algorithm than using a genetic algorithm (Mlynek and Srb 2012) in numerical experiments. The described mathematical model and algorithm allows us to find the optimized locations of the heaters over the mould and in this way to determine the corresponding heat radiation intensity on the irradiated mould surface and to calculate the temperature field on the inner surface of the mould.…”

“…A detailed description of the procedure for calculating the heat radiation intensity jl I of the l-th heater in a general position at the elementary surface j p is shown in (Mlynek and Srb 2012).…”

“…The minimized function has many local extremes and for this reason it is not suitable to use gradient methods in the optimization. We used an evolutionary algorithm, specifically the differential evolution algorithm (using this algorithm, we obtain better results than when using a genetic algorithm, see (Mlynek and Srb 2012)). Evolutionary algorithms in general require a lot of operations and long computation time (especially when the mould volume is larger and we use a higher number of heaters).…”

“…We use the ANSYS software package to obtain the solution to this equation. The used mathematical model, the process of calculation of the heat radiation intensity on the mould surface are described in more details in (Mlynek and Srb 2012) and the optimization process in (Mlynek and Srb 2014).…”

Model of shell metal mould heating in the automotive industry

“…First, genetic algorithms were tested. The obtained results were further improved by a Hill Climbing procedure (see [9]). However, better optimized positions of the heaters were found by differential evolution algorithms.…”