Aluminium alloy hot rolled strip transverse thickness distribution modeling method based on spectral method

Abstract

The invention provides an aluminium alloy hot rolled strip transverse thickness distribution modeling method based on a spectral method. The influence of the thermal coupling effect of rolling force, roll bending force and a temperature field in the rolling process on roller deformation and strip transverse thickness distribution is studied, and a partial differential equation of work roller deformation with a thermal coupling effect is obtained; a characteristic function of a space linear operator corresponding to the equation is chosen as a space primary function, and the spectral method is used for conducting low dimensional approximation modeling to obtain a finite dimension nonlinear ordinary differential equation set; the linear part of the ordinary differential equation set is subjected to dimensionality reduction processing by a balanced truncation method or an optimization method, the nonlinear part and the non-modeled part in the approximate rolling process of a neural network are used for obtaining an intelligent hybrid module with the dimension being very low, and therefore the purpose of quickly forecasting strip transverse thickness distribution is achieved. The aluminium alloy hot rolled strip transverse thickness distribution modeling method based on the spectral method has the advantages that from the aspect of the mechanism of the rolling process, little computing amount is used, the model with the dimension being very low is obtained, accordingly, the real-time performance of forecasting of the strip transverse thickness distribution in the rolling process is improved, and a foundation of system optimization and control system design can be laid.

Description

technical field [0001] The invention belongs to the field of industrial process control, and relates to a modeling method based on a spectral method applied to the transverse thickness distribution of hot-rolled aluminum alloy strips. Background technique [0002] The hot rolling process of aluminum alloy strips involves multiple nonlinear issues such as material, geometry, boundary contact, and thermal-mechanical coupling. In the nonlinear region, the pressure distribution between the rolls and between the work roll and the rolled piece is nonlinear, the temperature distribution of the rolls and the rolled piece and their boundary conditions are nonlinear, etc., which lead to the transverse thickness distribution of the strip during the rolling process (loaded roll gap shape ) is very difficult to model and predict. [0003] During the rolling process of aluminum alloy strips, the influence of thermomechanical coupling effects such as rolling force, bending force and spray...

AI Technical Summary

Problems solved by technology

This model solves the problem that the existing plate shape model has a high order, a large amount of calculation, and does not consider the dynamic change and coupling of the rolling process. This modeling method can obtain an approximate model that guarantees modeling accuracy and has a very low dimension. The amount of calculation is less, it can reflect the dynamic characteristics of the system, and it is suitable for system optimization and controller design of plate shape

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