IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i11p1916-d438597.html
   My bibliography  Save this article

Identification Problem for Nonlinear Gao Beam

Author

Listed:
  • Jana Radová

    (Faculty of Science, Palacký University Olomouc, 771 47 Olomouc, Czech Republic
    Current address: 17. listopadu 12, 779 00 Olomouc, Czech Republic.)

  • Jitka Machalová

    (Faculty of Science, Palacký University Olomouc, 771 47 Olomouc, Czech Republic
    Current address: 17. listopadu 12, 779 00 Olomouc, Czech Republic.)

  • Jana Burkotová

    (Faculty of Science, Palacký University Olomouc, 771 47 Olomouc, Czech Republic
    Current address: 17. listopadu 12, 779 00 Olomouc, Czech Republic.)

Abstract

This paper deals with the identification of coefficients in the nonlinear beam model which was first introduced by D. Y. Gao in 1996. For the identification of coefficients, an optimal control approach is used. The unknown coefficients are material parameters of the beam and play the role of the control variables. The existence of at least one solution of the optimal control problem is proved. For the studied problem the finite element approximation is provided. Finally some illustrative examples are introduced.

Suggested Citation

  • Jana Radová & Jitka Machalová & Jana Burkotová, 2020. "Identification Problem for Nonlinear Gao Beam," Mathematics, MDPI, vol. 8(11), pages 1-16, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1916-:d:438597
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/11/1916/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/11/1916/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:8:y:2020:i:11:p:1916-:d:438597. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.