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Research Papers

Stability Analysis of Moving Printing Web With Sine Half-Wave Variable Density Based on Differential Quadrature Method

[+] Author and Article Information
Jimei Wu

Faculty of Mechanical and Precision
Instrument Engineering;
Faculty of Printing,
Packing and Digital Media Engineering,
Xi'an University of Technology,
Xi'an 710048, China
e-mail: wujimei1@163.com

Mingyue Shao

Faculty of Mechanical and Precision
Instrument Engineering,
Xi'an University of Technology,
Xi'an 710048, China
e-mail: shaomingyue_xaut@163.com

Yan Wang

School of Civil Engineering and Architecture,
Xi'an University of Technology,
Xi'an 710048, China
e-mail: wyaiyh@163.com

Qiumin Wu

Faculty of Printing,
Packing and Digital Media Engineering,
Xi'an University of Technology,
Xi'an 710048, China
e-mail: wuqiumin@xaut.edu.cn

Fan Zhao

Faculty of Printing,
Packing and Digital Media Engineering,
Xi'an University of Technology,
Xi'an 710048, China
e-mail: vcu@xaut.edu.cn

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received September 23, 2016; final manuscript received May 27, 2017; published online August 17, 2017. Assoc. Editor: Patrick S. Keogh.

J. Vib. Acoust 139(6), 061018 (Aug 17, 2017) (6 pages) Paper No: VIB-16-1472; doi: 10.1115/1.4037137 History: Received September 23, 2016; Revised May 27, 2017

The moving web is widely used to make printing and packaging products, flexible electronics, cloths, etc. The impact of the variable density on printing web dynamic behavior is considered. The density changes in the form of sine half-wave in the lateral direction. Based on the D'Alembert's principle, the transverse vibration differential equation of moving printing web with variable density is established and is discretized by using the differential quadrature method (DQM). The complex characteristic equation is derived. The impacts of the density coefficient and the dimensionless speed on the web stability and vibration characteristics are discussed. The results show that it is feasible to use the DQM to analyze the problem of transverse vibration of printing web with varying density; the tension ratio and the density coefficient have important impacts on the stability of moving printing web. This study provides theoretical guidance and basis for optimizing the structure of printing press and improving the stable working speed of printing press and web.

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Figures

Grahic Jump Location
Fig. 1

Structure of the printing press: 1. paper feeding mechanism; 2. paper advance mechanism; I–IV, printing units; 3. drying mechanism; 4. cooling mechanism; and 5. paper collection mechanism

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Fig. 2

Moving web with sine half-wave varying density: (a) schematic diagram of web and (b) density function

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Fig. 3

The relationship between dimensionless complex frequency and the dimensionless speed (γ = 0.5, u = 1, β = 0)

Grahic Jump Location
Fig. 4

The relationship between dimensionless complex frequency and the dimensionless speed (γ = 0.5, u = 1, β = 0.2)

Grahic Jump Location
Fig. 5

The relationship between dimensionless complex frequency and the dimensionless speed (γ = 0.5, u = 1, β = 0.4)

Grahic Jump Location
Fig. 6

The relationship between dimensionless complex frequency and the dimensionless speed (γ = 0.5, u = 1, β = 0.6)

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