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

Abstract

This article is focused on the infrared heating of shell metal moulds and optimization of temperature field on the surface of the mould. The upper part of the mould is heated by infrared heaters, and after the required temperature is attained the inner part of the mould is sprinkled with special PVC powder. The moulds are made of aluminium or nickel alloys. The described mathematical model allows us to optimize locations of heaters above the mould and thus we get an approximately uniform temperature field on the whole inner mould surface. In this way the whole surface of produced artificial leather has the same material structure and colour shade. A differential evolution algorithm is used to optimize the locations of heaters. A practical example of the optimization of the heaters locations and the calculation of the temperature field on the inner part of mould surface is included at the end of the article. The described process is one of the economical ways of artificial leathers production in the car industry.

ECMS 2021 Proceedings edited by Khalid Al-Begain, Mauro Iacono, Lelio Campanile, Andrzej Bargiela

“…The cost function of this optimization problem is a function of many variables (often 300 and more) and has many local minima. Gradient methods, genetic algorithms and also CDEA found only a local minimum of the corresponding cost function (this optimization problem is described in more detail in (Mlýnek and Knobloch 2018) and (Mlýnek et al 2016). MDEA has also proved successful in optimizing the fibre winding procedures using a fibre-processing head and a nonbearing frame moved by an industrial robot (for more details see (Mlýnek et al 2020)).…”

Probabilistic Analysis of the Convergence of the Differential Evolution Algorithm

“…to be entitled to claim that H 0 : p = p 0 does not hold implying p < p 0 . In case we need explicitly to express the number of individuals not hitting the target region σ we can use the formula (13) and get…”

“…In general, to optimize a system means to maximize the system's desirable properties minimizing at the same time its unfavourable characteristics. For an example of the optimization task in the automotive industry see articles [12], and [13]. In these articles the optimization of the infrared heaters setting over the complex shell metal mould is realized by a differential evolution algorithm with good results.…”

On Radiation-Based Thermal Servoing: New Models, Controls and Experiments

“…Such approach demands the development of appropriate models that can effectively capture the system's GTM relations. This idea has been partially demonstrated in [19], where the optimal fixed location of multiple radiating heaters in a process is automatically calculated to evenly imprint a desired thermal profile onto a surface. Yet, the heater is static and the method requires exact knowledge of all thermodynamic parameters (which are generally unknown).…”