IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/6915629.html
   My bibliography  Save this article

Solution to the Problem of a Mass Traveling on a Taut String via Integral Equation

Author

Listed:
  • M. Ferretti
  • A. Luongo

Abstract

The problem of a massive taut string, traveled by a heavy point mass, moving with an assigned law, is formulated in a linear context. Displacements are assumed to be transverse, and the dynamic tension is neglected. The equations governing the moving boundary problem are derived via a variational principle, in which the geometric compatibility between the point mass and the string is enforced via a Lagrange multiplier, having the meaning of transverse reactive force. The equations are rearranged in the form of a unique Volterra integral equation in the reactive force, which is solved numerically. A classical Galerkin solution is implemented for comparison. Numerical results throw light on the physics of the phenomenon and confirm the effectiveness of the algorithm.

Suggested Citation

  • M. Ferretti & A. Luongo, 2019. "Solution to the Problem of a Mass Traveling on a Taut String via Integral Equation," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-9, April.
    • Handle: RePEc:hin:jnlamp:6915629
    DOI: 10.1155/2019/6915629
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2019/6915629.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2019/6915629.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/6915629?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:jnlamp:6915629. 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.