Inverse Analysis of Cutting Load Distribution for Die Cutting Machine

Abstract

In this study, we propose a method using inverse analysis to identify the load distribution acting on the die cutter roll through the elastic deformation model of the roll, based on the roll deflection curve, which is relatively easy to measure. First, the configuration of this inverse problem is clarified by explaining the observation equation based on the elastic deformation model of the Bernoulli-Euler beam. This inverse problem is ill-conditioned because the roll has high stiffness in this context. The effective rank of this problem is evaluated through the model validation test using simulated observation data to quantitatively clarify the ill-conditioning. An approach to model the cutting load distribution using low-dimensional parametric function is also considered to overcome the ill-condition.