A MODEL OF COLD METAL ROLLING PROCESSES WITH STATE-DEPENDENT DELAY

作者：Hu Qingwen^*

来源：SIAM Journal on Applied Mathematics, 2016, 76(3): 1076-1100.

DOI：10.1137/141000257

• chatter
• cold metal rolling processes
• state-dependent delay
• stability

We model multistand cold metal rolling processes and investigate chatter vibrations using a system of differential equations which involves state-dependent interstand transportation time delay. We show that the model with state-dependent delay can be transformed into a system of equations with both retarded and advanced delays and show that the equilibria are unstable if the strip velocity is not controlled. We further show that a delayed feedback control of the strip velocity can stabilize the equilibria under certain conditions. Local Hopf bifurcation shows that the variation of interstand tension can lead to chatter. Numerical simulations are presented to illustrate the results of Hopf bifurcation.

• 出版日期2016