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

作　　者：SUN Jian-liang PENG Yan LIU Hong-min 

机构地区：[1]Engineering Research Center of Rolling Equipment and Complete Technology of Ministry of Education, State Key Laboratory of Metastable Materials Seience and Technology, Yanshan University, Qinhuangdao 066004, Hebei, China

出　　处：《Journal of Iron and Steel Research International》2010年第6期11-15,20,共6页

基　　金：Item Sponsored by National Natural Science Foundation of China (50875231);Great Natural Science Foundation of Hebei Province of China (E2006001038)

摘　　要：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 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 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 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.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 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 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 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.

关 键 词：moving strip vertical vibration time-dependent tension parametric resonance 

分 类 号：TG333.71[金属学及工艺—金属压力加工] X53[环境科学与工程—环境工程]