Dynamic stability of an axially moving paper board with added subsystems

Autor: Yan Wang, Zhen Tian, Jimei Wu, Xuxia Guo, Mingyue Shao
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of Low Frequency Noise, Vibration and Active Control, Vol 37 (2018)
Druh dokumentu: article
ISSN: 1461-3484
2048-4046
14613484
DOI: 10.1177/1461348418757881
Popis: Paper board with bending stiffness is usually used as the substrates on cigarette package printing industry. The vibration of these paper boards in high speed affects the printing precision. The dynamic characteristics and stability of moving paper board with finite interior elastic point supports and elastic edges restrained are investigated. First, the energy function of the system is established by using the extended Hamilton’s principle; second, the dimensionless equations of motion for the moving paper board are obtained using the element-free Galerkin method. The equations of motion and the eigenvalue equations of the system are established. The relationship between the first three complex frequencies of the system and the moving speed is then obtained by the numerical calculation. The effects of the elastic point supports, the elastically restrained edges, and the dimensionless speed of the motion on the dynamic stability of the paper board are analyzed. The critical speed when the paper board is in a stable state under different conditions is obtained. The results improve the dynamic stability of the paper board in printing process and provide the theoretical basis for the optimization of printing equipment.
Databáze: Directory of Open Access Journals
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