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

Author:

Wu Jimei1,Shao Mingyue2,Wang Yan3,Wu Qiumin4,Zhao Fan4

Affiliation:

1. 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:

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

3. School of Civil Engineering and Architecture, Xi'an University of Technology, Xi'an 710048, China e-mail:

4. Faculty of Printing, Packing and Digital Media Engineering, Xi'an University of Technology, Xi'an 710048, China e-mail:

Abstract

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.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shaanxi Province

Publisher

ASME International

Subject

General Engineering

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2. Nonlinear dynamics of fractional viscoelastic PET membranes with linearly varying density;Communications in Nonlinear Science and Numerical Simulation;2023-12

3. The Forced Vibration and Transmission Stability of Printing Moving Web;2023 17th Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA);2023-11-10

4. Thermal coupling model of a traveling flexible printing electronical membrane subjected to nonlinear electrostatical force;Journal of Low Frequency Noise, Vibration and Active Control;2023-06-11

5. Vibration characteristics and stability of a moving membrane with variable speed subjected to follower force;Journal of Physics: Conference Series;2020-05-01

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