Plastoelastic B Spline Finite Strip Analysis Of Leveling Process

Medium plate is one of the important steel varieties,used for high pressure vessels,large ships,large diameter pipeline line,bridge bridge,high-rise buildings and other important places for high performance requirements of steel,it is national defense,transportation,construction facilities,such as national security,in the construction of the national economy indispensable important basic materials.With the modernization of social production,manufacturing needs and controlled rolling and cooling technology widely used,more diversified in different specifications at the same time,the requirements of having a good flatness,minimal stress is also increasing.Therefore,in order to reduce internal stress,improve internal stress distribution,to ensure that products meet the plate flatness standards of precision requirements,levelling plate production process is a necessary and important step.In this paper,the sheet parallel roller leveling process,it provides a numerical method both theoretical analysis leveling quick calculation and finite element numerical calculation completeness.According to the geometric characteristics of the sheet and plastic deformation characteristics leveling process,established based on finite strip method of plate parallel roll numerical system.According to thin plate large deflection buckling theory and the principle of minimum potential energy,established the calculation based on the inverse solution wave-shaped geometry of the model,a method of Solving the residual strain distribution form through a few macroscopic geometry of plate-shaped defects has been studied.Through the measured wave shape geometry parameters and default flexural function,as to the cause of edge wave and wave in the typical wave shape defects of residual strain are applied to solve the stress and compared with the measured values are compared.Established the B-spline displacement function satisfies strip unit simply supported end and a free end of the boundary conditions,on the basis of the displacement function established on the stress-strain matrix strip element stiffness matrix and tie line equivalent load vector.Analyzes the impact of points and taking the number to units to calculate the size and calculation accuracy.Analysis calculated characteristics of B-spline finite strip element stiffness matrix and the overall stiffness matrix.Analyzes the impact of strip unit number of nodes and number of strip units tothe degree of stiffness matrix sparsity.Focused derived Ziegler kinematic hardening plane stress elastoplastic stress-strain relationship matrix.Use of B-spline function features,deduced true relation matrix displacement and generalized displacements and calculation methods in dealing with boundary conditions.For elastoplastic constitutive relation,the stress-strain update implicit algorithm is derived based on the Zeigler Kinematic hardening guidelines,calculation formulas stress increments and strain increments.gives the Calculation formulas stress increments and strain increments.On the foundation of defects calculated of leveling flatness,computing systems and related numerical methods B-spline finite strip method,established the elastoplastic B continuous straightening process analysis model spline finite strip method,and the results are analyzed and industrial data validation.Established the elastoplastic B spline finite strip analysis model of continuous leveling process,and the results are analyzed and industrial data validation.