ժҪ Nonlinear vibrations of the moving strip between two mills of some cold tandem rolling mill in the rolling process were investigated. The strip is moving with a time-dependent tension, namely a harmonically varying tension about a constant initial tension. The transverse parametric vibration model of moving strip in the rolling process was established. Approximate solutions were obtained using the method of multiple scales. Depending on the variation of the tension, three distinct cases arise: frequency away from zero or two times the natural frequency; frequency close to zero; frequency close to two times the natural frequency. For frequency close to zero and away from zero and two times the natural frequency, the system is always stable. For frequency close to two times the natural frequency, the stability is analyzed respectively when the trivial solution is existence and the nontrivial solution is existence. Numerical simulation was made on some 1660mm tandem rolling mill, the stable regions and unstable regions for parametric resonance are determined with different cases. The rolling speed and the thickness of strip have strong influences on the stability of principle parametric resonances. But the distance between two mills has little influence on the stability of principle parametric resonances.
Abstract��Nonlinear vibrations of the moving strip between two mills of some cold tandem rolling mill in the rolling process were investigated. The strip is moving with a time-dependent tension, namely a harmonically varying tension about a constant initial tension. The transverse parametric vibration model of moving strip in the rolling process was established. Approximate solutions were obtained using the method of multiple scales. Depending on the variation of the tension, three distinct cases arise: frequency away from zero or two times the natural frequency; frequency close to zero; frequency close to two times the natural frequency. For frequency close to zero and away from zero and two times the natural frequency, the system is always stable. For frequency close to two times the natural frequency, the stability is analyzed respectively when the trivial solution is existence and the nontrivial solution is existence. Numerical simulation was made on some 1660mm tandem rolling mill, the stable regions and unstable regions for parametric resonance are determined with different cases. The rolling speed and the thickness of strip have strong influences on the stability of principle parametric resonances. But the distance between two mills has little influence on the stability of principle parametric resonances.
Sun Jian-liang;et al. Non-linear Vibrations and Stability of Moving Strip with Time-dependent Tension in Rolling Process[J]. �й������ڿ���, 2010, 17(6): 11-11.
Sun Jian-liang;et al. ���ƹ����˶�������������������ȶ����о�. Chinese Journal of Iron and Steel, 2010, 17(6): 11-11.
2010, Vol. 17 
