Nonlinear vertical vibration control of corrugated rolling mill based on particle damping absorber

The research of rolling mill vibration theory has always been a scientific problem in the field of rolling forming, which is very important to the quality of sheet metal and the stable operation of equipment. With the rapid development of rolling composite forming technology, corrugated rolling mill, as a kind of equipment with special roller shape, has the outstanding advantages of refining grain, improving plate shape and improving bonding strength in composite plate preparation, and has gradually become a research hotspot at present. The dynamic change of rolling force induced by complex roller profile curve of corrugated rolling mill presents a new challenge to the stability control of rolling mill. In order to reasonably control the nonlinear vertical vibration of corrugated rolling mill, the nonlinear vertical vibration equation considering dynamic fluctuation of rolling force, nonlinear damping and nonlinear stiffness between corrugated interfaces was established. The effect of rolling force dynamic variation on system stability was analyzed by bifurcation chaos diagram, maximum Lyapunov exponent, phase path and Poincare section. It is found that the dynamic change of rolling force induces complex dynamic behavior of the system. A particle damping absorber is designed to control the nonlinear vertical vibration of corrugated rolling mill. The amplitude-frequency characteristic equation of the dynamic vibration absorber system was obtained by using the multi-scale method. The influence of particle mass, mass ratio, stiffness coefficient and damping coefficient of vibration absorber on amplitude-frequency characteristic curve was analyzed. The control effect of particle damper on nonlinear vertical vibration was studied by numerical simulation. Finally, the correctness and feasibility of particle damping absorber design are verified by experiments, which can not only reduce the amplitude of the system but also shorten the adjustment time of dynamic process, and provides theoretical guidance and technical support for nonlinear dynamic analysis and stability control of corrugated rolling mill.