Nonlinear Vibration Characteristic Analysis of Roller-Plate System Based on Asymptotic Methods

A roller-plate system is taken as the research object in this paper. The influence of rolled products of metal plates (thick or middle thick plate) as an excitation parameter on the vibration characteristics of the system during warm rolling process is mainly studied. In view of the hysteresis characteristics between rolling force and deformation of rolled products of metal plates in actual process, Duffing equation is innovatively introduced into the dynamic model and used to generate nonlinear force. The analytical solution of the dynamic model of the roller-plate system is obtained by asymptotic methods, and the correctness of the analytical solution is verified by Runge-Kutta method. Finally, the influence of nonlinear stiffness and nonlinear damping on vibration characteristics of rollers is analyzed, which provides an important theoretical basis for the study of nonlinear vibration characteristics and vibration suppression of roller-plate system during warm rolling.