Nonlinear forced vibration of a moving paper web with varying density
The study investigates the forced nonlinear vibration characteristics of an axially moving printing paper web with variable density in the lateral direction. The nonlinear governing equations of the web can be obtained by the von Karman large deflection thin plate theory. The vibration equations are...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2019-05-01
|
| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/1687814019851004 |
| _version_ | 1818275010083553280 |
|---|---|
| author | Mingyue Shao Jimei Wu Yan Wang Qiumin Wu Shudi Ying |
| author_facet | Mingyue Shao Jimei Wu Yan Wang Qiumin Wu Shudi Ying |
| author_sort | Mingyue Shao |
| collection | DOAJ |
| description | The study investigates the forced nonlinear vibration characteristics of an axially moving printing paper web with variable density in the lateral direction. The nonlinear governing equations of the web can be obtained by the von Karman large deflection thin plate theory. The vibration equations are discretized using the Bubnov–Galerkin method. The fourth-order Runge–Kutta technique is used to solve the differential equations of the nonlinear system. The phase-plane diagrams, time histories, bifurcation graphs, Poincare maps, and power spectrum are employed to analyze the influence of density coefficient, velocity, and aspect ratio on the nonlinear dynamic behavior of the moving paper web. The stable working region and the divergence instability region of the web are obtained. The research provides a theoretical foundation for improving the dynamic stability of a moving paper web. |
| first_indexed | 2024-12-12T22:22:57Z |
| format | Article |
| id | doaj.art-5f3247cc25e84701917daecbde6c4f26 |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-12-12T22:22:57Z |
| publishDate | 2019-05-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-5f3247cc25e84701917daecbde6c4f262022-12-22T00:09:50ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402019-05-011110.1177/1687814019851004Nonlinear forced vibration of a moving paper web with varying densityMingyue Shao0Jimei Wu1Yan Wang2Qiumin Wu3Shudi Ying4Faculty of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an, ChinaFaculty of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an, ChinaFaculty of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an, ChinaFaculty of Printing, Packaging and Digital Media Engineering, Xi’an University of Technology, Xi’an, ChinaFaculty of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an, ChinaThe study investigates the forced nonlinear vibration characteristics of an axially moving printing paper web with variable density in the lateral direction. The nonlinear governing equations of the web can be obtained by the von Karman large deflection thin plate theory. The vibration equations are discretized using the Bubnov–Galerkin method. The fourth-order Runge–Kutta technique is used to solve the differential equations of the nonlinear system. The phase-plane diagrams, time histories, bifurcation graphs, Poincare maps, and power spectrum are employed to analyze the influence of density coefficient, velocity, and aspect ratio on the nonlinear dynamic behavior of the moving paper web. The stable working region and the divergence instability region of the web are obtained. The research provides a theoretical foundation for improving the dynamic stability of a moving paper web.https://doi.org/10.1177/1687814019851004 |
| spellingShingle | Mingyue Shao Jimei Wu Yan Wang Qiumin Wu Shudi Ying Nonlinear forced vibration of a moving paper web with varying density Advances in Mechanical Engineering |
| title | Nonlinear forced vibration of a moving paper web with varying density |
| title_full | Nonlinear forced vibration of a moving paper web with varying density |
| title_fullStr | Nonlinear forced vibration of a moving paper web with varying density |
| title_full_unstemmed | Nonlinear forced vibration of a moving paper web with varying density |
| title_short | Nonlinear forced vibration of a moving paper web with varying density |
| title_sort | nonlinear forced vibration of a moving paper web with varying density |
| url | https://doi.org/10.1177/1687814019851004 |
| work_keys_str_mv | AT mingyueshao nonlinearforcedvibrationofamovingpaperwebwithvaryingdensity AT jimeiwu nonlinearforcedvibrationofamovingpaperwebwithvaryingdensity AT yanwang nonlinearforcedvibrationofamovingpaperwebwithvaryingdensity AT qiuminwu nonlinearforcedvibrationofamovingpaperwebwithvaryingdensity AT shudiying nonlinearforcedvibrationofamovingpaperwebwithvaryingdensity |