Table of Content

Open Access

ARTICLE

An Enhanced Formulation of the Maximum Entropy Method for Structural Optimization

S. Hernández1,2, A. Baldomir1, J. Díaz1, F. Pereira1
Structural Mechanics Group, School of Civil Engineering, University of La Coruña.
Corresponding author: hernandez@udc.es

Computers, Materials & Continua 2012, 32(3), 219-240. https://doi.org/10.3970/cmc.2012.032.219

Abstract

A numerical optimization method was proposed time ago by Templeman based on the maximum entropy principle. That approach combined the Kuhn-Tucker condition and the information theory postulates to create a probabilistic formulation of the optimality criteria techniques. Such approach has been enhanced in this research organizing the mathematical process in a single optimization loop and linearizing the constraints. It turns out that such procedure transforms the optimization process in a sequence of systems of linear equations which is a very efficient way of obtaining the optimum solution of the problem. Some examples of structural optimization, namely, a planar truss, a spatial truss and a composite stiffened panel, are presented to demonstrate the capabilities of the methodology.

Keywords

numerical optimization, maximum entropy method, structural design

Cite This Article

S. . Hernández, A. . Baldomir, J. . Díaz and F. . Pereira, "An enhanced formulation of the maximum entropy method for structural optimization," Computers, Materials & Continua, vol. 32, no.3, pp. 219–240, 2012.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 845

    View

  • 623

    Download

  • 0

    Like

Share Link

WeChat scan