IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-75999-7_220.html
   My bibliography  Save this book chapter

Study on Sensitivity Analysis and Shape Optimization of FE-EFG Coupled Method

In: Computational Mechanics

Author

Listed:
  • S. G. Gong

    (Xiangtan University, School of Mechanical Engineering)

  • G. L. Xie

    (Xiangtan University, School of Mechanical Engineering)

  • J. P. Zhang

    (Xiangtan University, School of Mechanical Engineering)

  • S. H. Nie

    (Xiangtan University, School of Mechanical Engineering)

  • Y. M. Li

    (Xiangtan University, School of Mechanical Engineering)

Abstract

The most advantage of meshless method is that it can alleviate the mesh constrained of node, and the distortion of mesh presented in the process of structural shape optimization can be completely avoided by integrating the meshless method into the shape optimization. In many meshless methods, the element-free Galerkin (EFG) method is one of the most promising and well-developed method for engineering application. However the EFG method is marked by some shortcoming, where the primary one is that there is much more computational cost and it is difficult in imposing the essential boundary condition. The advantage in both finite element (FE) method and EFG method can be developed by integrating coupled FE-EFG method into structural shape optimization. A collocation approach is introduced to couple firstly FE and EFG method with isoparametric quadrangle interface element between EF and meshless regions, and the interpolation function for the displacement at the interface element satisfies the linear consistency exactly. By taking derivative of discreteness equilibrium equation in FE method with respect to design variable, a numerical method for discreteness-based shape design sensitivity analysis using coupled FE-EFG method is obtained. The design sensitivity analysis of coupled FE-EFG method is completed by collocation approach at the interface element. The numerical method mentioned above is testified by examples. It can be observed excellent agreement between the numerical results and the analytical solution. Finally the shape optimization of fillet is achieved by using coupled FE-EFG method.

Suggested Citation

  • S. G. Gong & G. L. Xie & J. P. Zhang & S. H. Nie & Y. M. Li, 2007. "Study on Sensitivity Analysis and Shape Optimization of FE-EFG Coupled Method," Springer Books, in: Computational Mechanics, pages 420-420, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75999-7_220
    DOI: 10.1007/978-3-540-75999-7_220
    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

    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:978-3-540-75999-7_220. 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.