IDEAS home Printed from https://ideas.repec.org/a/taf/nmcmxx/v21y2015i6p591-612.html
   My bibliography  Save this article

Modelling and control of a shell structure based on a finite dimensional variational formulation

Author

Listed:
  • Alexander Zuyev
  • Oliver Sawodny

Abstract

A mathematical model of a controlled shell structure based on Hamilton’s principle and the generalized Ritz–Galerkin method is proposed in this paper. The problem of minimizing the stress energy is solved explicitly for a static version of this model. For the dynamical system under consideration, a procedure for estimating external disturbances and the state vector is derived. We also propose an observer design scheme and solve the stabilization problem for an arbitrary dimension of the linearized model. This approach allows us to perform control design for double-curved shells of complex geometry by combining analytical computation of the controller parameters with numerical data that represent the reference configuration and modal displacements of the shell. As an example, the parameters of our model are validated by results of a finite element analysis for the Stuttgart SmartShell structure.

Suggested Citation

  • Alexander Zuyev & Oliver Sawodny, 2015. "Modelling and control of a shell structure based on a finite dimensional variational formulation," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 21(6), pages 591-612, November.
    • Handle: RePEc:taf:nmcmxx:v:21:y:2015:i:6:p:591-612
    DOI: 10.1080/13873954.2015.1065278
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/13873954.2015.1065278
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/13873954.2015.1065278?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:taf:nmcmxx:v:21:y:2015:i:6:p:591-612. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/NMCM20 .

    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.