IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-74238-8_15.html
   My bibliography  Save this book chapter

Numerical Simulation of Shape Memory Actuators in Mechatronics

In: From Nano to Space

Author

Listed:
  • G. Teichelmann

    (Technische Universität München, M2 — Zentrum Mathematik)

  • B. Simeon

    (Technische Universität München, M2 — Zentrum Mathematik)

Abstract

This paper deals with shape memory alloys (SMA) as temperature controlled actuators in mechatronic applications. The mathematical model consists of a coupled system of partial differential and differential-algebraic equations where continuum equations describe the evolution of deformation and temperature while rigid body equations and control laws define the interaction with the mechatronic device. Both modeling and numerical issues will be addressed. In particular, by applying the method of lines with finite elements, the overall problem is reduced to a differential-algebraic system in time that is shown to be of index two. Simulation results for a robotics application illustrate the approach.

Suggested Citation

  • G. Teichelmann & B. Simeon, 2008. "Numerical Simulation of Shape Memory Actuators in Mechatronics," Springer Books, in: Michael H. Breitner & Georg Denk & Peter Rentrop (ed.), From Nano to Space, pages 193-208, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-74238-8_15
    DOI: 10.1007/978-3-540-74238-8_15
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-540-74238-8_15. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.