IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/3568970.html
   My bibliography  Save this article

Structural Damping Effects on Dynamic Instability of Subtangentially Loaded and Shear Deformable Beck’s Columns

Author

Listed:
  • Dong-Ju Min
  • Jaegyun Park
  • Sang-Ho Yeon
  • Moon-Young Kim

Abstract

A frequency equation of externally and internally damped and shear-flexible cantilever columns subjected to a subtangentially follower force is analytically derived in a dimensionless form with relation to the linear instability theory of Beck’s columns. Some parametric studies are then performed with variation of two damping coefficients under the assumption of Rayleigh damping. Based on the analysis results, it is demonstrated that three damping cases in association with flutter loads of Beck’s columns can be selected including one case representative of structural damping. Finally, stability maps of shear-flexible and damped Beck’s columns are constructed for the three damping cases and discussed in the practical range of damping coefficients and shear parameters. In addition, flutter loads and time history analysis results are presented using dimensionless FE analysis and compared with exact solutions.

Suggested Citation

  • Dong-Ju Min & Jaegyun Park & Sang-Ho Yeon & Moon-Young Kim, 2016. "Structural Damping Effects on Dynamic Instability of Subtangentially Loaded and Shear Deformable Beck’s Columns," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-15, July.
    • Handle: RePEc:hin:jnlmpe:3568970
    DOI: 10.1155/2016/3568970
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2016/3568970.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2016/3568970.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2016/3568970?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:3568970. 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.