Vibration characteristics and stability of a moving membrane with variable speed subjected to follower force

In this paper, the vibration characteristics and stability of a moving membrane with variable speed subjected to follower force are studied. The vibration differential equation of the moving membrane is deduced by the D'Alembert principle. The intermediate variables of the differential equation...

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Bibliographic Details
Published in:Journal of physics. Conference series 2020-05, Vol.1545 (1), p.12008
Main Authors: Wu, Jimei, Qing, Jiajuan, Shao, Mingyue, Wang, Yan, Li, Ni, Ruan, Miao, Liu, Dingqiang
Format: Article
Language:English
Subjects:
Aspect ratio
Differential equations
Dynamic stability
Equations of state
Membranes
Quadratures
Runge-Kutta method
Vibration
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Summary:In this paper, the vibration characteristics and stability of a moving membrane with variable speed subjected to follower force are studied. The vibration differential equation of the moving membrane is deduced by the D'Alembert principle. The intermediate variables of the differential equation are discretized by the Differential Quadrature Method, and the state equation with periodic coefficients is obtained.The state equation is solved by the implicit Runge-Kutta method. According to the Floquet theory, the dynamic stability region and instability region of the membrane are obtained, and the influence of the tension ratio, aspect ratio, average velocity and the follower force on the unstable region of the moving membrane are analyzed. This result provides theoretical guidance and basis for the design, manufacture and stability of the printing press.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1545/1/012008