NONLINEAR FREE VIBRATION CHARACTERISTICS OF PRINTING PAPER WEB WITH VARIABLE DENSITY
Most studies on the vibration of variable density paper web are limited to the discussion of small deflection linear problems. There are few researches on nonlinear vibration problems with large deflection in variable density printing web.However,in practice,the density of the web is varied due to t...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Journal of Mechanical Strength
2019-01-01
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| Series: | Jixie qiangdu |
| Subjects: | |
| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.01.001 |
| _version_ | 1797767768551981056 |
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| author | SHAO MingYue WU JiMei WANG Yan YING ShuDi WU QiuMin |
| author_facet | SHAO MingYue WU JiMei WANG Yan YING ShuDi WU QiuMin |
| author_sort | SHAO MingYue |
| collection | DOAJ |
| description | Most studies on the vibration of variable density paper web are limited to the discussion of small deflection linear problems. There are few researches on nonlinear vibration problems with large deflection in variable density printing web.However,in practice,the density of the web is varied due to the difference in the distribution of the printed image. In this paper,the nonlinear vibration characteristics of moving printing web with variable density are studied. Based on the von Karman plate theory,the vibration equation of the large deflection motion of the axially moving paper is deduced. The differential equation is divided by the Bubnov-Galerkin method,and the differential equation is solved by elliptic integral method. The frequency expression of the nonlinear vibration is obtained. The influence of density coefficient,dimensionless velocity and aspect ratio on the complex frequency of large deflection vibration of moving paper under different initial conditions is analyzed. This study provides a theoretical basis for improving the stability of printing equipment. |
| first_indexed | 2024-03-12T20:44:41Z |
| format | Article |
| id | doaj.art-fa550333320a418e91742a843a4861ed |
| institution | Directory Open Access Journal |
| issn | 1001-9669 |
| language | zho |
| last_indexed | 2024-03-12T20:44:41Z |
| publishDate | 2019-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj.art-fa550333320a418e91742a843a4861ed2023-08-01T07:48:25ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692019-01-01411630603656NONLINEAR FREE VIBRATION CHARACTERISTICS OF PRINTING PAPER WEB WITH VARIABLE DENSITYSHAO MingYueWU JiMeiWANG YanYING ShuDiWU QiuMinMost studies on the vibration of variable density paper web are limited to the discussion of small deflection linear problems. There are few researches on nonlinear vibration problems with large deflection in variable density printing web.However,in practice,the density of the web is varied due to the difference in the distribution of the printed image. In this paper,the nonlinear vibration characteristics of moving printing web with variable density are studied. Based on the von Karman plate theory,the vibration equation of the large deflection motion of the axially moving paper is deduced. The differential equation is divided by the Bubnov-Galerkin method,and the differential equation is solved by elliptic integral method. The frequency expression of the nonlinear vibration is obtained. The influence of density coefficient,dimensionless velocity and aspect ratio on the complex frequency of large deflection vibration of moving paper under different initial conditions is analyzed. This study provides a theoretical basis for improving the stability of printing equipment.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.01.001Nonlinear vibration;Variable density;Printing paper web;Bubnov-Galerkin method |
| spellingShingle | SHAO MingYue WU JiMei WANG Yan YING ShuDi WU QiuMin NONLINEAR FREE VIBRATION CHARACTERISTICS OF PRINTING PAPER WEB WITH VARIABLE DENSITY Jixie qiangdu Nonlinear vibration;Variable density;Printing paper web;Bubnov-Galerkin method |
| title | NONLINEAR FREE VIBRATION CHARACTERISTICS OF PRINTING PAPER WEB WITH VARIABLE DENSITY |
| title_full | NONLINEAR FREE VIBRATION CHARACTERISTICS OF PRINTING PAPER WEB WITH VARIABLE DENSITY |
| title_fullStr | NONLINEAR FREE VIBRATION CHARACTERISTICS OF PRINTING PAPER WEB WITH VARIABLE DENSITY |
| title_full_unstemmed | NONLINEAR FREE VIBRATION CHARACTERISTICS OF PRINTING PAPER WEB WITH VARIABLE DENSITY |
| title_short | NONLINEAR FREE VIBRATION CHARACTERISTICS OF PRINTING PAPER WEB WITH VARIABLE DENSITY |
| title_sort | nonlinear free vibration characteristics of printing paper web with variable density |
| topic | Nonlinear vibration;Variable density;Printing paper web;Bubnov-Galerkin method |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.01.001 |
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