IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v264y2025ipas0951832025005459.html
   My bibliography  Save this article

Structural reliability analysis based on fractional moments-based iterative maximum entropy method and multiplicative exact dimension reduction integration method

Author

Listed:
  • Wang, Lei
  • Wang, Tao
  • Dong, You
  • Frangopol, Dan M.
  • Li, Zhengliang

Abstract

The fractional moments-based maximum entropy method (FM-MEM) is a powerful method for constructing probability density functions and is widely applied in structural reliability analysis. To ensure the satisfactory performance of this method, it is crucial to determine an appropriate number of constrained fractional moments and estimate them with a balance between accuracy and efficiency. In response to these issues, this paper proposes a fractional moments-based iterative maximum entropy method (FM-IMEM) and a multiplicative exact dimension reduction integration method (M-EDRIM). In the FM-IMEM, a nonlinear transformation is performed to allow negative limit state functions (LSFs), and the optimal number and order of constrained fractional moments and Lagrange multipliers are determined efficiently through an iterative algorithm. Moreover, to estimate fractional moments in the FM-IMEM accurately and efficiently, the M-EDRIM is developed based on a new dimension reduction model, the multiplicative exact dimension reduction model (M-EDRM). This new model can decompose the LSF into a product form of lower-dimensional component functions exactly, thereby alleviating the curse of dimensionality in fractional moments estimation while ensuring accuracy. Five examples with various LSFs are investigated to validate the proposed method. Results show that the proposed method can well balance accuracy and efficiency for structural reliability analysis.

Suggested Citation

  • Wang, Lei & Wang, Tao & Dong, You & Frangopol, Dan M. & Li, Zhengliang, 2025. "Structural reliability analysis based on fractional moments-based iterative maximum entropy method and multiplicative exact dimension reduction integration method," Reliability Engineering and System Safety, Elsevier, vol. 264(PA).
    • Handle: RePEc:eee:reensy:v:264:y:2025:i:pa:s0951832025005459
    DOI: 10.1016/j.ress.2025.111344
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832025005459
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2025.111344?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

    for a different version of it.

    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:eee:reensy:v:264:y:2025:i:pa:s0951832025005459. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    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.