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A Rapid Online Calculation Method of Three-dimensional Plastic Deformation in Strip Rolling
Jian Shao,Chihuan Yao,Chaochao Chen,Wenquan Sun,Anrui He 보안공학연구지원센터 2016 International Journal of u- and e- Service, Scienc Vol.9 No.2
Three-dimensional strip plastic deformation model is a key part of shape setup model in hot rolling. The numerical efficiency, accuracy and stability of the method are the main factors that may restrict its online application. Considering the theoretical limitations of existing models, basic equations include equilibrium equations with the effect of shear stress, constitutive equations based on incremental theory, and lubricated friction with the respective coefficients of friction at longitudinal and transverse direction. After normalization of parameters and the asymptotic analysis, the strip plastic deformation model is established, and solved by finite volume method and BICGSTAB algorithm to get the transverse distribution of rolling force of each stand. Compared to the finite element model established by ANSYS software, the new model has reliable results and a short computation time of 31 milliseconds, which show its feasibility of online application.
Haijun Yu,Anrui He,Wenquan Sun,Chihuan Yao,Chao Liu 한국강구조학회 2020 International Journal of Steel Structures Vol.20 No.5
This paper deals with the stress distribution problem of steel strips subjected to non-uniform tensile loads at both ends, which induce the transverse in-plane compressive stress and is important for researching the transverse buckling of the steel strip. For stress distribution problem, the traditional fi nite element method (FEM) has acceptable accuracy while it takes too long computing time to be applied to on-site production and the semi-inverse analytical method needs to preset the form of stress solution and gets the solution with a certain error. Thence, a rapid symplectic analytical method for solving stress distribution problem of steel strips is presented, which is based on the Hamiltonian system unlike other traditional method based on the Lagrangian system. Furthermore, the rational and rigorous derivation without any forecast about the form of solution makes the stress result have high precision with short computing time. Finally, the symplectic method is demonstrated be more effi cient and suitable in the on-line calculation by comparing with FEM.