Nonlinear Dynamics of Torsional Vibration for Rolling Mill's Main Drive System Under Parametric Excitation

作者：Shi Pei ming^*; Li Ji zhao; Jiang Jin shui; Liu Bin; Han Dong ying

来源：Journal of Iron and Steel Research International, 2013, 20(1): 7-12.

DOI：10.1016/s1006-706x(13)60037-0

• rolling mill
• main drive system
• torsional vibration
• parametric excitation
• joint angle
• singularity

The jointed shaft in the drivelines of the rolling mill, with its angle continuously varying in the production, has obvious impact on the stability of the main drive system. Considering the effect caused by the joint angle and friction force of roller gap, the nonlinear vibration model of the main drive system which contains parametric excitation stiffness and nonlinear friction damping was established. The amplitude-frequency characteristic equation and bifurcation response equation were obtained by using the method of multiple scales. Depending on the bifurcation response equation, the transition set and the topology structure of bifurcation curve of the system were obtained by using the singularity theory. The transition set can separate the system into seven areas, which has different bifurcation forms respectively. By taking the 1780 rolling mill of Chengde Steel Co for example, the simulation and analysis were performed. The amplitude-frequency curves under different joint angles, damping coefficients, and nonlinear stiffness were given. The variations of these parameters have strong influences on the stability of electromechanical resonances and the characteristic of the response curves. The best angle of the jointed shaft is 4.7613 degrees in this rolling mill.

• 出版日期2013-1