DEVELOPING OF MATLAB APPLICATION FOR DETERMINING THE REACTION KINETICS OF RUBBER VULCANIZATION PROCESS

Dario Balaban, Jelena Lubura, P. Kojić, J. Pavličević, Bojana Ikonić, O. Bera
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Abstract

Rubber vulcanization is kinetically a complex process, since it consists of two simultaneous reactions: curing and degradation. To determine reaction kinetics, it is necessary to determine a kinetic model which describes the process adequately. Proposed kinetic model has six adjustable parameters. In order to determine kinetic parameters of the proposed kinetic model, commercially available rubber gum was used. Oscillating disc rheometer was used to investigate experimental dependence of torque on time, at six temperatures in the range from 130 to 180 °C, with a step of 10 °C. Matlab application, built via App Designer feature, was developed in order to fit the experimental data to the proposed kinetic model. Developed Matlab application, consisting of two tabs, enables user to upload raw rheometer data, perform manual fitting or automatic fitting (manual or automatic estimation of initial values of adjustable parameters), test the effect of constant values of some kinetic parameters on the overall quality of fit, visualize the dependence of kinetic parameters on temperature and to determine the values of Arrhenius expression for curing and degradation process. Both fitting methods were proven to be efficient; overall determination coefficient and MAPE value for automatic and manual fitting methods were >0.99 and <1%, and >0.999 and <1%, respectively. Arrhenius parameters were also determined with high accuracy (R2>0.98). Developed application enables simple and efficient determination of kinetic parameters by means of different fitting methods, simultaneous fitting of data on all temperatures, and testing the effect of constant kinetic parameters values on fitting results
开发了橡胶硫化过程反应动力学测定的matlab应用程序
橡胶硫化在动力学上是一个复杂的过程,因为它包括两个同时发生的反应:固化和降解。为了确定反应动力学,必须确定一个能充分描述反应过程的动力学模型。提出的动力学模型有六个可调参数。为了确定所提出的动力学模型的动力学参数,使用了市售的橡胶胶。在130 ~ 180°C的6个温度范围内,步长为10°C,用振荡盘流变仪研究了扭矩与时间的实验关系。为了将实验数据拟合到所提出的动力学模型中,通过App Designer功能构建了Matlab应用程序。开发的Matlab应用程序,由两个选项卡组成,用户可以上传原始流变仪数据,进行手动或自动拟合(手动或自动估计可调参数的初始值),测试某些动力学参数的恒定值对整体拟合质量的影响,可视化动力学参数对温度的依赖关系,并确定固化和降解过程的Arrhenius表达式值。验证了两种拟合方法的有效性;自动拟合和人工拟合的总体确定系数和MAPE值分别为0.99、0.999和0.98)。开发的应用程序可以通过不同的拟合方法简单有效地确定动力学参数,同时拟合所有温度下的数据,并测试恒定的动力学参数值对拟合结果的影响
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