Nonlinear topology design of trusses using cellular automata

Samy Missoum, Mostafa Abdalla, Zafer Gürdal

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

Abstract

Cellular Automata (CA) is an emerging paradigm for the combined analysis and design of complex systems using local update rules. An implementation of the paradigm has recently been demonstrated successfully for the design of truss and beam structures. In the present paper, CA is applied to two-dimensional nonlinear truss topology optimization problems. The optimization problem is stated as a minimization of complementary work (minimum compliance design). First order Kuhn-Tucker conditions are derived for the general case of geometric and material nonlinear behavior. The derived optimality criterion is equivalent to fully stressed design and is used as a design update rule. The analysis update rules are derived using an Updated Lagrangian Formulation. The CA combined analysis and design algorithm is applied to demonstrative problems.

Original languageEnglish (US)
Title of host publication44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
StatePublished - 2003
Externally publishedYes
Event44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2003 - Norfolk, VA, United States
Duration: Apr 7 2003Apr 10 2003

Other

Other44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2003
CountryUnited States
CityNorfolk, VA
Period4/7/034/10/03

Fingerprint

Trusses
Cellular automata
Topology
Shape optimization
Large scale systems

ASJC Scopus subject areas

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

Cite this

Missoum, S., Abdalla, M., & Gürdal, Z. (2003). Nonlinear topology design of trusses using cellular automata. In 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

Nonlinear topology design of trusses using cellular automata. / Missoum, Samy; Abdalla, Mostafa; Gürdal, Zafer.

44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 2003.

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

Missoum, S, Abdalla, M & Gürdal, Z 2003, Nonlinear topology design of trusses using cellular automata. in 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2003, Norfolk, VA, United States, 4/7/03.
Missoum S, Abdalla M, Gürdal Z. Nonlinear topology design of trusses using cellular automata. In 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 2003
Missoum, Samy ; Abdalla, Mostafa ; Gürdal, Zafer. / Nonlinear topology design of trusses using cellular automata. 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 2003.
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