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

• Published in: Journal of iron and steel research, international international, 2010-06, Vol.17 (6), p.11-15
• Main Authors: SUN, Jian-liang, PENG, Yan, LIU, Hong-min
• Format: Article
• Language: English
• Subjects: Applied and Technical Physics; Engineering; Machines; Manufacturing; Materials Engineering; Materials Science; Mathematical models; Metallic Materials; moving strip; Nonlinearity; parametric resonance; Physical Chemistry; Processes; Resonant frequency; Rolling mills; Stability; Steels; Strip; time-dependent tension; vertical vibration; Vibration; 参数共振; 变张力; 带钢厚度; 直线振动; 稳定性影响; 自然频率; 轧制过程
• ISSN: 1006-706X; 2210-3988
• DOI: 10.1016/S1006-706X(10)60106-9

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.