Abstract
Rolling mill is the core equipment in modern iron and steel industry, and the reliability of its mill roll system (MRS) is the key to ensure the rolling process with high precision, high speed, continuity and stability. However, the MRS possesses some features such as high nonlinearity, time variability and strong coupling. The vertical vibration easily happens in its working process. Nevertheless, the mathematical model of MRS is difficult to be established and hard to be solved. In this paper, the nonlinear dynamics theory and modern signal processing method were introduced to solve this difficult problem. A two degree of freedom (DOF) nonlinear vertical vibration model of MRS was established. And the model was analytically solved by using complexification averaging (CA) method. The solution error of CA method was thoroughly analyzed. Moreover, the CA method was improved by combining the fast empirical mode decomposition (FEMD) method. Research results indicate that the improved CA method presents a significant advantage in improving the solution precision, and can be used to solve strong nonlinear vibration system (NVS) with two DOF.
Highlights
Rolling is a metal forming process in which a metal strip is laminated through a pair of rolls
When deviation appears in complexification averaging (CA) method influenced by nonlinear factors, the amplitude and phase of CA analytical solution (CAAS) can be modified by fast empirical mode decomposition (FEMD) method
The results indicate that the CAAS can be effectively corrected by utilizing FEMD method, and the accuracy of the solution can be significantly improved
Summary
Rolling is a metal forming process in which a metal strip is laminated through a pair of rolls. With the development of nonlinear science, researchers pay high attention to nonlinear factors, and begin to explore in this field [7, 8] It is worth further research about introducing the nonlinear dynamics theory and method for the modeling of MRS. ANALYTICAL SOLUTION FOR NONLINEAR VERTICAL VIBRATION MODEL OF MILL ROLL SYSTEM BASED ON IMPROVED COMPLEXIFICATION AVERAGING METHOD. We attempt to utilize the nonlinear dynamics theory and modern signal processing method to explore the analytical solution for nonlinear vertical vibration model of MRS.
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