Coupled Vibration Behavior of Hot Rolling Mill Rolls under Multinonlinear Effects

Abstract

A coupled vibration model of hot rolling mill rolls under multiple nonlinear effects is established by considering the nonlinear spring force produced by the hydraulic cylinder, the nonlinear friction between the work rolls, the dynamic variation of rolling force, and the effect of external excitation as well as according to the structural constraints of a four-high hot rolling mill in the vertical and horizontal directions. The amplitude-frequency response equation of rolling mill rolls is determined by using a multiple-scale approximation method. Furthermore, use of actual data for simulation indicates that the internal resonance is the main cause of coupling vibration of the rolling mill rolls. In addition, changes in the movement displacement of the hydraulic cylinder and the coupling parameters strongly affect the coupling system of the rolling mill rolls. Finally, the study of the dynamic bifurcation characteristics of the rolling mill rolls indicates that, with varying external excitation amplitude, the vibration of rolls alternates between periodic motion, period-doubling motion, and chaotic motion in both vertical and horizontal directions. This is one of the reasons for the appearance of periodic light and dark stripes on the strip surface. Furthermore, the range of the external excitation amplitude (F0) at which the rolling mill roll system vibrates violently, that is, 5.68e5 N < F0 < 5.84e5 N and F0 > 6.12e5 N, must be avoided. The research results can provide a theoretical reference for further exploration of the coupling vibration mechanism of hot rolling mills.

Modulation of Multichannel Electronic Communication Signal Parameters Based on a Nonlinear Phase Principle

“…The nonlinear phase noise accumulated by the Kerr effect in longdistance optical communication is a difficult problem facing the development of optical networks at present. The nonlinear effect monitoring of damage signal has also become an important topic in the field of optical communication [4]. Artificial intelligence algorithms, especially machine learning algorithms, have developed rapidly in the past few years and have been introduced into optical communications to solve various problems.…”

Vertical–Horizontal Coupling Vibration of Hot Rolling Mill Rolls under Multi-Piecewise Nonlinear Constraints

“…During rolling, horizontal vibration and vertical vibration often occur in a hot rolling mill. These interact and couple with each other [23]. This study establishes a verticalhorizontal coupling vibration dynamic model of a hot rolling mill under multi-piecewise nonlinear constraints considering a dynamic rolling force model of the rolling process, a piecewise nonlinear spring force model of the hydraulic system, a piecewise nonlinear friction force model, and a piecewise stiffness model in the horizontal direction.…”

“…The hydraulic elastic stiffness refers to the nonlinear elastic stiffness of the liquid when the working chamber of the hydraulic cylinder is completely closed, and the volume of the oil is compressed under the action of external forces [21,23]. The spring force of a hydraulic cylinder can be expressed as:…”

Research on Dynamic Characteristics of the RBBH System Based on Dynamics Model and Vibration Data Fusion

“…Xu et al [ 12 ] explained the dynamic vibration characteristics of the rolling mill under different rolling parameters. The influence of piecewise nonlinear factors on the vibration of rolls has also attracted extensive attention in the engineering field, such as friction, gap, and constraints [ 13 , 14 ].…”