Roll Flattening Analytical Model in Flat Rolling by Boundary Integral Equation Method Original Research Article

In order to improve rolled strip quality, precise plate shape control theory should be established. Roll flattening theory is an important part of the plate shape theory. To improve the accuracy of roll flattening calculation based on semi-infinite body model, especially near the two roll barrel edges, a new and more accurate roll flattening model is proposed. Based on boundary integral equation method, an analytical model for solving a finite length semi-infinite body is established. The lateral surface displacement field of the finite length semi-infinite body is simulated by finite element method (FEM) and lateral surface displacement decay functions are established. Based on the boundary integral equation method, the numerical solution of the finite length semi-infinite body under the distributed force is obtained and an accurate roll flattening model is established. Different from the traditional semi-infinite body model, the matrix form of the new roll flattening model is established through the mathematical derivation. The result from the new model is more consistent with that by FEM especially near the edges.