IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/5671361.html
   My bibliography  Save this article

Transverse Vibration of a Moving Viscoelastic Hard Membrane Containing Scratches

Author

Listed:
  • Mingyue Shao
  • Jimei Wu
  • Yan Wang
  • Hongmei Zhang
  • Qiumin Wu

Abstract

The transverse vibration and stability of a moving viscoelastic hard printing membrane containing scratches are investigated. Based on the viscoelastic differential constitutive relation, thin plate theory, and d’Alembert principle, the differential equation of a moving viscoelastic hard membrane with a straight scratch through the surface is derived by using the continuity condition of the scratches. The complex characteristic equation is obtained by using the differential quadrature method. The effects of the scratch depth and scratch position on the critical instability speed of the moving hard membrane were highlighted by solving the differential equation and numerical calculation, and the coupling effects of speed and scratch depth on vibration characteristics of the hard membrane are also analyzed. Numerical calculation results show that the hard membrane experiences divergence instability when the actual printing speed is v =23.2 m/s, and the membrane is stable when v <23.2 m/s. The theoretical guidance and method for scratches detection of the precision coated hard membrane are provided.

Suggested Citation

  • Mingyue Shao & Jimei Wu & Yan Wang & Hongmei Zhang & Qiumin Wu, 2019. "Transverse Vibration of a Moving Viscoelastic Hard Membrane Containing Scratches," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-13, January.
    • Handle: RePEc:hin:jnlmpe:5671361
    DOI: 10.1155/2019/5671361
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2019/5671361.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2019/5671361.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/5671361?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlmpe:5671361. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.