Nonlinear Dynamics of Torsional Vibration for Rolling Mill��s Main Drive System Under Parametric Excitation
SHI Pei-ming1,LI Ji-zhao1,JIANG Jin-shui1,LIU Bin1,HAN Dong-ying2
1. College of Electrical Engineering, Yanshan University, Qinhuangdao 066004, Hebei, China 2. College of Vehicles and Energy, Yanshan University, Qinhuangdao 066004, Hebei, China
Nonlinear Dynamics of Torsional Vibration for Rolling Mill��s Main Drive System Under Parametric Excitation
SHI Pei-ming1,LI Ji-zhao1,JIANG Jin-shui1,LIU Bin1,HAN Dong-ying2
1. College of Electrical Engineering, Yanshan University, Qinhuangdao 066004, Hebei, China 2. College of Vehicles and Energy, Yanshan University, Qinhuangdao 066004, Hebei, China
ժҪ 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�� in this rolling mill.
Abstract��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�� in this rolling mill.
SHI Pei-ming,LI Ji-zhao,JIANG Jin-shui,LIU Bin,HAN Dong-ying. Nonlinear Dynamics of Torsional Vibration for Rolling Mill��s Main Drive System Under Parametric Excitation[J]. �й������ڿ���, 2013, 20(1): 7-12.
SHI Pei-ming,LI Ji-zhao,JIANG Jin-shui,LIU Bin,HAN Dong-ying. Nonlinear Dynamics of Torsional Vibration for Rolling Mill��s Main Drive System Under Parametric Excitation. Chinese Journal of Iron and Steel, 2013, 20(1): 7-12.
2013, Vol. 20 
