Nonlinear vibration analysis of moving strip with inertial boundary condition
type: Item
instance of: scholarly article
title: Nonlinear vibration analysis of moving strip with inertial boundary condition
zbMATH Open document ID: 1394.74051
DOI: 10.1155/2015/216197
author: Chong-yi Gao
author: Yan Feng
author: Jian-xiong Li
author: Guo-Jun Du
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 6925792
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/216197
OpenAlex ID: W1505446825
Wikidata QID: Q59117641
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description: scientific article; zbMATH DE number 6925792