IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i10p1518-d1393757.html
   My bibliography  Save this article

Structural Shape Optimization Based on Multi-Patch Weakly Singular IGABEM and Particle Swarm Optimization Algorithm in Two-Dimensional Elastostatics

Author

Listed:
  • Zhenyu Chen

    (Center for Mechanics Plus Under Extreme Environments, Faculty of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, China)

  • Longtao Xie

    (Center for Mechanics Plus Under Extreme Environments, Faculty of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, China)

Abstract

In this paper, a multi-patch weakly singular isogeometric boundary element method (WSIGABEM) for two-dimensional elastostatics is proposed. Since the method is based on the weakly singular boundary integral equation, quadrature techniques, dedicated to the weakly singular and regular integrals, are applied in the method. A new formula for the generation of collocation points is suggested to take full advantage of the multi-patch technique. The generated collocation points are essentially inside the patches without any correction. If the boundary conditions are assumed to be continuous in every patch, no collocation point lies on the discontinuous boundaries, thus simplifying the implementation. The multi-patch WSIGABEM is verified by simple examples with analytical solutions. The features of the present multi-patch WSIGABEM are investigated by comparison with the traditional IGABEM. Furthermore, the combination of the present multi-patch WSIGABEM and the particle swarm optimization algorithm results in a shape optimization method in two-dimensional elastostatics. By changing some specific control points and their weights, the shape optimizations of the fillet corner, the spanner, and the arch bridge are verified to be effective.

Suggested Citation

  • Zhenyu Chen & Longtao Xie, 2024. "Structural Shape Optimization Based on Multi-Patch Weakly Singular IGABEM and Particle Swarm Optimization Algorithm in Two-Dimensional Elastostatics," Mathematics, MDPI, vol. 12(10), pages 1-23, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:10:p:1518-:d:1393757
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/10/1518/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/10/1518/
    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:12:y:2024:i:10:p:1518-:d:1393757. 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.