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.
Stability Analysis of Moving Printing Web With Sine Half-Wave Variable Density Based on Differential Quadrature Method
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.
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Wu, J., Shao, M., Wang, Y., Wu, Q., and Zhao, F. (August 17, 2017). "Stability Analysis of Moving Printing Web With Sine Half-Wave Variable Density Based on Differential Quadrature Method." ASME. J. Vib. Acoust. December 2017; 139(6): 061018. https://doi.org/10.1115/1.4037137
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