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

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 dis...

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Main Authors: Mingyue Shao, Jimei Wu, Yan Wang, Qiumin Wu, Yuan Chen
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2017/2968705
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author Mingyue Shao
Jimei Wu
Yan Wang
Qiumin Wu
Yuan Chen
author_facet Mingyue Shao
Jimei Wu
Yan Wang
Qiumin Wu
Yuan Chen
author_sort Mingyue Shao
collection DOAJ
description 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.
format Article
id doaj-art-8533153c81ef490a86b39fdf67126fd6
institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-8533153c81ef490a86b39fdf67126fd62025-02-03T01:02:43ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/29687052968705Vibration Characteristics for Moving Printing Membrane with Variable Density along the Lateral DirectionMingyue Shao0Jimei Wu1Yan Wang2Qiumin Wu3Yuan Chen4Faculty of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaFaculty of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, ChinaFaculty of Printing, Packing and Digital Media Engineering, Xi’an University of Technology, Xi’an 710048, ChinaFaculty of Printing, Packing and Digital Media Engineering, Xi’an University of Technology, Xi’an 710048, ChinaThe 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.http://dx.doi.org/10.1155/2017/2968705
spellingShingle Mingyue Shao
Jimei Wu
Yan Wang
Qiumin Wu
Yuan Chen
Vibration Characteristics for Moving Printing Membrane with Variable Density along the Lateral Direction
Shock and Vibration
title Vibration Characteristics for Moving Printing Membrane with Variable Density along the Lateral Direction
title_full Vibration Characteristics for Moving Printing Membrane with Variable Density along the Lateral Direction
title_fullStr Vibration Characteristics for Moving Printing Membrane with Variable Density along the Lateral Direction
title_full_unstemmed Vibration Characteristics for Moving Printing Membrane with Variable Density along the Lateral Direction
title_short Vibration Characteristics for Moving Printing Membrane with Variable Density along the Lateral Direction
title_sort vibration characteristics for moving printing membrane with variable density along the lateral direction
url http://dx.doi.org/10.1155/2017/2968705
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AT yanwang vibrationcharacteristicsformovingprintingmembranewithvariabledensityalongthelateraldirection
AT qiuminwu vibrationcharacteristicsformovingprintingmembranewithvariabledensityalongthelateraldirection
AT yuanchen vibrationcharacteristicsformovingprintingmembranewithvariabledensityalongthelateraldirection