Development of Inverse Method to Estimate Stresses on the Roll Surface During Rolling

On the roll bite during rolling, the normal and shear stresses acting between the material and the roll surface are the key variables in the rolling model. If these stresses can be directly measured, the interaction between the roll and the material can be understood. In this paper, we propose a new method to estimate the stress on the roll surface by measured strain distribution from multiple strain gauges inside the work roll. In this method, the measured strain distributions are Fourier expanded to determine the coefficients of the general solution of equilibrium of forces in the cylindrical coordinate system, but it is difficult to determine the coefficients of the general solution with higher order Fourier coefficients. So we developed a way to make it possible to determine higher-order coefficients by imposing constraints between them. Using this technique, the measurement results of rolling stress distribution during the rolling of aluminum sheet are introduced.