### 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 language | English (US) |
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Title of host publication | Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference |

Publisher | AIAA |

Pages | 464-469 |

Number of pages | 6 |

Volume | 1 |

Edition | I |

State | Published - 2000 |

Externally published | Yes |

Event | 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 Duration: Apr 3 2000 → Apr 6 2000 |

### Other

Other | 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 |
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City | Atlanta, GA, USA |

Period | 4/3/00 → 4/6/00 |

### Fingerprint

### ASJC Scopus subject areas

- Architecture

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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.

}

TY - GEN

T1 - Optimization of trusses with geometrically nonlinear response using a displacement based approach

AU - Missoum, Samy

AU - Gurdal, Zafer

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0033676285&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033676285&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0033676285

VL - 1

SP - 464

EP - 469

BT - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

PB - AIAA

ER -