Optimization of trusses with geometrically nonlinear response using a displacement based approach

Samy Missoum, Zafer Gürdal

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A displacement based optimization strategy is extended to the design of truss structures with geometrically nonlinear response. 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 for which it appears to be efficient and fast.

Original languageEnglish (US)
Title of host publication41st Structures, Structural Dynamics, and Materials Conference and Exhibit
StatePublished - 2000
Externally publishedYes
Event41st Structures, Structural Dynamics, and Materials Conference and Exhibit 2000 - Atlanta, GA, United States
Duration: Apr 3 2000Apr 6 2000

Other

Other41st Structures, Structural Dynamics, and Materials Conference and Exhibit 2000
CountryUnited States
CityAtlanta, GA
Period4/3/004/6/00

Fingerprint

Trusses
Nonlinear programming
Linear programming

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanics of Materials
  • Building and Construction
  • Architecture

Cite this

Missoum, S., & Gürdal, Z. (2000). Optimization of trusses with geometrically nonlinear response using a displacement based approach. In 41st Structures, Structural Dynamics, and Materials Conference and Exhibit

Optimization of trusses with geometrically nonlinear response using a displacement based approach. / Missoum, Samy; Gürdal, Zafer.

41st Structures, Structural Dynamics, and Materials Conference and Exhibit. 2000.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Missoum, S & Gürdal, Z 2000, Optimization of trusses with geometrically nonlinear response using a displacement based approach. in 41st Structures, Structural Dynamics, and Materials Conference and Exhibit. 41st Structures, Structural Dynamics, and Materials Conference and Exhibit 2000, Atlanta, GA, United States, 4/3/00.
Missoum S, Gürdal Z. Optimization of trusses with geometrically nonlinear response using a displacement based approach. In 41st Structures, Structural Dynamics, and Materials Conference and Exhibit. 2000
Missoum, Samy ; Gürdal, Zafer. / Optimization of trusses with geometrically nonlinear response using a displacement based approach. 41st Structures, Structural Dynamics, and Materials Conference and Exhibit. 2000.
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