Optimum design of structures with discrete variables using higher-order approximation
type: Item
instance of: scholarly article
title: Optimum design of structures with discrete variables using higher-order approximation
zbMATH Open document ID: 1042.74043
DOI: 10.1016/S0045-7825(01)00330-9
author: E. Salajegheh
author: Javad Salajegheh
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2002-05-15T00:00:00Z
review text: The paper deals with an introduction of some higher-order approximations during the optimization process with continuous and discrete design variables. Second- and third-order approximations are presented by employing only the diagonal terms of matrices of higher-order derivatives. To reduce the computational cost, these derivatives are estimated by using the first-order derivatives available from the previous design points. A hybrid form of the second- and third-order approximations is also presented for function approximation. It is observed that the hybrid form is more effective. To achieve the optimal discrete variables, a new penalty function is introduced. First, the continuous optimization is carried out by means the penalty function, and then the results are used as the starting point for discrete optimization. In both the continuous and discrete optimization, the idea of various function approximations is employed to decrease the computation time required by the design process. Examples are solved, and the effects of different proposed approximate techniques are discussed.
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 1741986
zbMATH Keywords: hybrid approximation
reviewed by: Stefan Jendo
MaRDI profile type: Publication
cites work: Effective use of numerical optimization in structural design
cites work: Approximations Method for Space Frame Synthesis
cites work: Q3122333
cites work: Discrete variable optimization of plate structures using dual methods
cites work: Applications of a Quadratic Extended Interior for Structural Optimization Penalty Function
Wikidata QID: Q127293408
description: scientific article; zbMATH DE number 1741986