Sensitivity analysis of a force and microstructure model for plate rolling.




Consistent modelling of multipass hot rolling processes has to account for numerous interdependencies within the process. With a growing number of passes, the sensitivity of the model output with respect to variations in the input parameters plays a vital role for assessing the accuracy and stability of the computation. This study details a new concept of using Automatic Differentiation (AD) to obtain exact derivatives of the output values of the numerical model for plate rolling. It is shown that the sensitivities of the roll force with respect to selected material and process parameters can be computed through AD technology. As use case the rolling of a plain C-Mn steel plate is analysed. The results show substantial differences in the influence characteristics of particular input parameters.