Optimization of nonlinear trusses using a displacement-based approach

Samy Missoum, Z. Gürdal, W. Gu

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A displacement-based optimization strategy is extended to the design of truss structures with geometric and material nonlinear responses. Unlike the traditional optimization approach that uses iterative finite element analyses to determine the structural response as the sizing variables are varied by the optimizer, the proposed method searches for an optimal solution by using the displacement degrees of freedom as design variables. Hence, the method is composed of two levels: an outer level problem where the optimal displacement field is searched using general nonlinear programming algorithms, and an inner problem where a set of optimal cross-sectional dimensions are computed for a given displacement field. For truss structures, the inner problem is a linear programming problem in terms of the sizing variables regardless of the nature of the governing equilibrium equations, which can be linear or nonlinear in displacements. The method has been applied to three test examples, which include material and geometric nonlinearities, for which it appears to be efficient and robust.

Original languageEnglish (US)
Pages (from-to)214-221
Number of pages8
JournalStructural and Multidisciplinary Optimization
Volume23
Issue number3
DOIs
StatePublished - Apr 2002
Externally publishedYes

Fingerprint

Trusses
Optimization
Nonlinear programming
Truss Structures
Linear programming
Geometric Nonlinearity
Nonlinear Response
Search Methods
Nonlinear Programming
Optimal Solution
Degree of freedom
Finite Element

Keywords

  • Dual variables
  • Geometric and material nonlinearities
  • Linear programming
  • Truss design
  • Two-level optimization

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Mechanics of Materials
  • Computational Mechanics
  • Computer Science Applications
  • Computational Theory and Mathematics

Cite this

Optimization of nonlinear trusses using a displacement-based approach. / Missoum, Samy; Gürdal, Z.; Gu, W.

In: Structural and Multidisciplinary Optimization, Vol. 23, No. 3, 04.2002, p. 214-221.

Research output: Contribution to journalArticle

@article{42168b3570b645ffad418652bcd5a594,
title = "Optimization of nonlinear trusses using a displacement-based approach",
abstract = "A displacement-based optimization strategy is extended to the design of truss structures with geometric and material nonlinear responses. Unlike the traditional optimization approach that uses iterative finite element analyses to determine the structural response as the sizing variables are varied by the optimizer, the proposed method searches for an optimal solution by using the displacement degrees of freedom as design variables. Hence, the method is composed of two levels: an outer level problem where the optimal displacement field is searched using general nonlinear programming algorithms, and an inner problem where a set of optimal cross-sectional dimensions are computed for a given displacement field. For truss structures, the inner problem is a linear programming problem in terms of the sizing variables regardless of the nature of the governing equilibrium equations, which can be linear or nonlinear in displacements. The method has been applied to three test examples, which include material and geometric nonlinearities, for which it appears to be efficient and robust.",
keywords = "Dual variables, Geometric and material nonlinearities, Linear programming, Truss design, Two-level optimization",
author = "Samy Missoum and Z. G{\"u}rdal and W. Gu",
year = "2002",
month = "4",
doi = "10.1007/s00158-002-0179-1",
language = "English (US)",
volume = "23",
pages = "214--221",
journal = "Structural and Multidisciplinary Optimization",
issn = "1615-147X",
publisher = "Springer Verlag",
number = "3",

}

TY - JOUR

T1 - Optimization of nonlinear trusses using a displacement-based approach

AU - Missoum, Samy

AU - Gürdal, Z.

AU - Gu, W.

PY - 2002/4

Y1 - 2002/4

N2 - A displacement-based optimization strategy is extended to the design of truss structures with geometric and material nonlinear responses. Unlike the traditional optimization approach that uses iterative finite element analyses to determine the structural response as the sizing variables are varied by the optimizer, the proposed method searches for an optimal solution by using the displacement degrees of freedom as design variables. Hence, the method is composed of two levels: an outer level problem where the optimal displacement field is searched using general nonlinear programming algorithms, and an inner problem where a set of optimal cross-sectional dimensions are computed for a given displacement field. For truss structures, the inner problem is a linear programming problem in terms of the sizing variables regardless of the nature of the governing equilibrium equations, which can be linear or nonlinear in displacements. The method has been applied to three test examples, which include material and geometric nonlinearities, for which it appears to be efficient and robust.

AB - A displacement-based optimization strategy is extended to the design of truss structures with geometric and material nonlinear responses. Unlike the traditional optimization approach that uses iterative finite element analyses to determine the structural response as the sizing variables are varied by the optimizer, the proposed method searches for an optimal solution by using the displacement degrees of freedom as design variables. Hence, the method is composed of two levels: an outer level problem where the optimal displacement field is searched using general nonlinear programming algorithms, and an inner problem where a set of optimal cross-sectional dimensions are computed for a given displacement field. For truss structures, the inner problem is a linear programming problem in terms of the sizing variables regardless of the nature of the governing equilibrium equations, which can be linear or nonlinear in displacements. The method has been applied to three test examples, which include material and geometric nonlinearities, for which it appears to be efficient and robust.

KW - Dual variables

KW - Geometric and material nonlinearities

KW - Linear programming

KW - Truss design

KW - Two-level optimization

UR - http://www.scopus.com/inward/record.url?scp=0036540227&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036540227&partnerID=8YFLogxK

U2 - 10.1007/s00158-002-0179-1

DO - 10.1007/s00158-002-0179-1

M3 - Article

AN - SCOPUS:0036540227

VL - 23

SP - 214

EP - 221

JO - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

SN - 1615-147X

IS - 3

ER -