Investigation for parametric
vibration of rolling mill
vibration of rolling mill
(College of Mechanical and Electrical Engineering,
Central South University, Changsha 410083，China；
2. Department of Mathematics, Suzhou University，
Suzhou 215006, China)
Central South University, Changsha 410083，China；
2. Department of Mathematics, Suzhou University，
Suzhou 215006, China)
Abstract: The vibration unsteady condition of rolling mill caused by flexural vibration of strip has been investigated. The parametric flexural vibration equation of rolled strip has been established. The parametric flexural vibration stability of rolled strip has been studied and the regions of stability and unstability have been determined based on Floquet theory and perturbation method. The flexural-vibration of strip is unstable when the frequency of variable tension is two times as the natural frequency of flexural-vibration strip. The characteristic of current in a temp driving motor's main loop has been studied and tested, it has been proved that there are 6 harmonic component and 12 harmonic component in main loop of driving motor electricity. The vertical vibration of working roller has been tested, the test result app roves that the running unsteady is caused by parametric vibration. It attaches importance to the parametric vibration of rolling mill.
Key words: rolling mill; parametric vibration; Floquet theory