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| Analysis of Nonlinear Vibration of Strip with Inertial Boundary Conditions |
| GAO Chong-yi1, DU Guo-jun1, LI Jian-xiong2，HU Fa-ke1 |
1. Key Laboratory of Mechanics Reliability for Heavy Equipment and Large Structure of Hebei, Yanshan University, Qinhuangdao, Hebei 066004；
2. Department of Automation, Institute of Electrical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004 |
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Abstract According to the movement mechanism of strip and rollers in the rolling process of tandem mill, the strip between stands was simplified to axially moving Euler beam and the rollers were simplified to the inertia component on the fixed axis rotation, namely inertial boundary conditions. Nonlinear vibration mechanical model of the Euler beam with inertial boundary conditions was established. The longitudinal and lateral motion equations of the Euler beam were derived due to the Hamilton's principle. The Kantorovich averaging method was used to simplify the motion equations and the inertial boundary, and the modified iteration method was employed to solve the motion equations. Finally, based on the results of numerical analysis, the amplitude frequency response curves of the Euler beam were obtained, and the influence of the axial velocity, the length and the rotational inertia of the roller on the vibration performance of Euler beam on condition of inertial boundary. The results may provide an important theoretical reference to control and analyze the vertical vibration of strip in the continuous rolling process.
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Received: 02 September 2014
Published: 25 December 2015
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