Non-Linear Vibration and Stability of Moving Strip With Time-Dependent Tension in Rolling Process

钢铁研究学报(英文版), 2010, 17(6): 11-20.

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1.Engineering Research Center of Rolling Equipment and Complete Technology of Ministry of Education, State Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, Hebei, China

2.Engineering Research Center of Rolling Equipment and Complete Technology of Ministry of Education, State Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, Hebei, China

3.Engineering Research Center of Rolling Equipment and Complete Technology of Ministry of Education, State Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, Hebei, China

基金项目: National Natural Science Foundation of China(50875231) Great Natural Science Foundation of Hebei Province of China(E2006001038)

Non-Linear Vibration and Stability of Moving Strip With Time-Dependent Tension in Rolling Process

SUN Jian-liang ^1, , PENG Yan ^2, , LIU Hong-min ^3,

Keywords： moving strip

The strip with a time-dependent tension moves, namely a harmonically varying tension about a constant initial tension. The nonlinear vibration model of moving strip between two mills with time-dependent tension was established. Approximate solutions were obtained using the method of multiple scales. Depending on the variation of the tension, three distinct cases arisei 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 exists and the nontrivial solution exists. Numerical simulation was made on some 1660 mm tandem rolling mill, and the stable regions and unstable regions for parametric resonance are determined with different cases. The rolling speed and the thickness of strip have str ng influences on the stability of principle parametric resonances. But the distance between two mills has little influence on the stability of principle parametric resonances.

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Non-Linear Vibration and Stability of Moving Strip With Time-Dependent Tension in Rolling Process

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