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

Samy Missoum, Zafer Gurdal

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

5 Citations (Scopus)

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 publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
PublisherAIAA
Pages464-469
Number of pages6
Volume1
EditionI
StatePublished - 2000
Externally publishedYes
Event41st AIAA/ASME/AHS/ASC Structures, Structural Dynamics, and Materials Conference and ExhibitAIAA/ASME/AHS Adaptive Structures ForumAIAA Non-Deterministic Approaches ForumAIAA Space Inflatables Forum - Atlanta, GA, USA
Duration: Apr 3 2000Apr 6 2000

Other

Other41st AIAA/ASME/AHS/ASC Structures, Structural Dynamics, and Materials Conference and ExhibitAIAA/ASME/AHS Adaptive Structures ForumAIAA Non-Deterministic Approaches ForumAIAA Space Inflatables Forum
CityAtlanta, GA, USA
Period4/3/004/6/00

Fingerprint

Trusses
Nonlinear programming
Linear programming

ASJC Scopus subject areas

  • Architecture

Cite this

Missoum, S., & Gurdal, Z. (2000). Optimization of trusses with geometrically nonlinear response using a displacement based approach. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (I ed., Vol. 1, pp. 464-469). AIAA.

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

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 1 I. ed. AIAA, 2000. p. 464-469.

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

Missoum, S & Gurdal, Z 2000, Optimization of trusses with geometrically nonlinear response using a displacement based approach. in Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. I edn, vol. 1, AIAA, pp. 464-469, 41st AIAA/ASME/AHS/ASC Structures, Structural Dynamics, and Materials Conference and ExhibitAIAA/ASME/AHS Adaptive Structures ForumAIAA Non-Deterministic Approaches ForumAIAA Space Inflatables Forum, Atlanta, GA, USA, 4/3/00.
Missoum S, Gurdal Z. Optimization of trusses with geometrically nonlinear response using a displacement based approach. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. I ed. Vol. 1. AIAA. 2000. p. 464-469
Missoum, Samy ; Gurdal, Zafer. / Optimization of trusses with geometrically nonlinear response using a displacement based approach. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 1 I. ed. AIAA, 2000. pp. 464-469
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