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Shock and Vibration
Volume 2017, Article ID 2968705, 10 pages
https://doi.org/10.1155/2017/2968705
Research Article

Vibration Characteristics for Moving Printing Membrane with Variable Density along the Lateral Direction

1Faculty of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, China
2Faculty of Printing, Packing and Digital Media Engineering, Xi’an University of Technology, Xi’an 710048, China
3School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China

Correspondence should be addressed to Jimei Wu; moc.361@1iemijuw

Received 2 November 2016; Revised 8 February 2017; Accepted 9 March 2017; Published 18 April 2017

Academic Editor: Lorenzo Dozio

Copyright © 2017 Mingyue Shao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The vibration model of moving membrane with variable density distribution is established, and the density distribution of the moving membrane varies along the lateral direction. The transverse vibration differential equations of moving membrane are established based on D’Alembert’s principle and discretized by using the differential quadrature method (DQM). The relationships of the first three dimensionless complex frequencies between dimensionless speed, density coefficient, and tension ratio of the membrane are analyzed by numerical calculation. The effects of the density coefficient and the tension ratio on transverse vibration characteristics of the membrane are investigated. The relationship between density coefficient and critical speed is obtained. The numerical results show that the density coefficient and the tension ratio have important influence on the stability of moving membrane. So the study provides a theoretical basis for improving the working stability of the membrane in the high-speed printing process.