Abstract
Considering the two kinds of nonlinear constraints of rolling mill hydraulic cylinder, spring force and friction force, the vibration model of rolling mill system is established. The amplitude frequency response equations are obtained by using the average method. Comparing the time history curves of vertical vibration displacement of rolling mill system under the nonlinear spring force and friction force, the amplitude frequency characteristic curves are simulated. The external excitation amplitude is viewed as the bifurcation parameter, and the system bifurcation response changing with the external excitation amplitude is analyzed. The influence of the external excitation amplitude on the system stability is studied. The results indicate that the increase of the nonlinear spring force makes the rolling mill system’s unstable area to become wider, and the influence on the rolling mill system of nonlinear friction force behaves as the damping characteristics; the vibration of rolling mill system is alternating between the periodic, period-doubling, and the chaotic motion. The research results provide a theoretical support for restraining the vibration of the rolling mill system in the actual production process.
Highlights
With the rapid development of science and technology, strip rolling mill in the field of heavy industrial machinery plays an increasingly important role [1]
Yang et al took into account the interaction between the roller and the rolled piece and established a vertical vibration model of roll system based on the dynamic friction equation of roll gap [11]. e vertical vibration mechanism of cold rolling mill is studied under the influence of the dynamic friction mechanism between the workpiece and roll
By using the real parameters of the 1780 rolling mill, the characteristics of the nonlinear spring force and the nonlinear friction force on the rolling mill are obtained. e amplitude frequency characteristics and bifurcation characteristics obtained from the simulation experiments can be used to analyze the characteristics of the working process of the rolling mill. e results of simulation experiment are applied to the field experiment, and the structural parameters and process parameters are adjusted according to the simulation results
Summary
With the rapid development of science and technology, strip rolling mill in the field of heavy industrial machinery plays an increasingly important role [1]. E vertical vibration mechanism of cold rolling mill is studied under the influence of the dynamic friction mechanism between the workpiece and roll. Bayon et al considered the nonlinear friction coefficient and nonlinear equivalent stiffness of hydraulic cylinder are caused by the change of velocity and dynamic load [13]. The rolling mill system with nonlinear spring force and friction force constraints is studied. Considering the nonlinear factors such as spring force and friction force of hydraulic cylinder, the vibration model of rolling mill system is established based on the two kinds of nonlinear constraint. E influence of nonlinear spring force, friction force, and the initial displacement of piston rod on the vibration behavior of rolling mill system and the bifurcation characteristics under the action of external excitation amplitude are studied Considering the nonlinear factors such as spring force and friction force of hydraulic cylinder, the vibration model of rolling mill system is established based on the two kinds of nonlinear constraint. e influence of nonlinear spring force, friction force, and the initial displacement of piston rod on the vibration behavior of rolling mill system and the bifurcation characteristics under the action of external excitation amplitude are studied
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