Nonlinear Vibration Analysis of Moving Strip with Inertial Boundary ConditionReport as inadecuate

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Mathematical Problems in Engineering - Volume 2015 2015, Article ID 216197, 9 pages -

Research Article

Key Laboratory of Mechanics Reliability for Heavy Equipment and Large Structure of Hebei Province, Yanshan University, Qinhuangdao, Hebei 066004, China

Department of Automation, Institute of Electrical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China

Received 21 April 2015; Accepted 21 June 2015

Academic Editor: Michael Vynnycky

Copyright © 2015 Chong-yi Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


According to the movement mechanism of strip and rollers in tandem mill, the strip between two stands was simplified to axially moving Euler beam and the rollers were simplified to the inertial component on the fixed axis rotation, namely, inertial boundary. Nonlinear vibration mechanical model of Euler beam with inertial boundary conditions was established. The transverse and longitudinal motion equations were derived based on Hamilton’s principle. Kantorovich averaging method was employed to discretize the motion equations and the inertial boundary equations, and the solutions were obtained using the modified iteration method. Depending on numerical calculation, the amplitude-frequency responses of Euler beam were determined. The axial velocity, tension, and rotational inertia have strong influences on the vibration characteristics. The results would provide an important theoretical reference to control and analyze the vertical vibration of moving strip in continuous rolling process.

Author: Chong-yi Gao, Guo-jun Du, Yan Feng, and Jian-xiong Li



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