## Abstract

This paper presents the study of a facade. One of the aims of the designing

team is the minimisation of the weight of the facade. Due to architectural

constraints, the geometry of the facade is fixed to a highly statically indeterminate

truss. Therefore, the minimisation of the weight of the facade is

limited to a section optimisation. The objective function is the indicator of

volume. Since the number of members is of the order of 1000, exhaustive

search methods are impracticle. We used a simple iterative process to find

optimal sections. In the first iteration all sections are equal. This allows the

forces to flow through the facade as if the facade has a constant stiffness.

In the next iterations sections are adapted to the forces that arize from the

previous iteration. This method quickly converges to an optimal section layout.

The results of this method are corroborated by a genetic algorithm. We

find that the truss facade with optimal sections consumes less material than

an arch with push rods, that transfer the forces to the arch. Furthermore,

the influence of buckling can be ignored.

team is the minimisation of the weight of the facade. Due to architectural

constraints, the geometry of the facade is fixed to a highly statically indeterminate

truss. Therefore, the minimisation of the weight of the facade is

limited to a section optimisation. The objective function is the indicator of

volume. Since the number of members is of the order of 1000, exhaustive

search methods are impracticle. We used a simple iterative process to find

optimal sections. In the first iteration all sections are equal. This allows the

forces to flow through the facade as if the facade has a constant stiffness.

In the next iterations sections are adapted to the forces that arize from the

previous iteration. This method quickly converges to an optimal section layout.

The results of this method are corroborated by a genetic algorithm. We

find that the truss facade with optimal sections consumes less material than

an arch with push rods, that transfer the forces to the arch. Furthermore,

the influence of buckling can be ignored.

Original language | English |
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Title of host publication | High Performance Structures and Materials III |

Editors | C.a. Brebbia |

Publisher | WIT Press |

Pages | 635-642 |

Number of pages | 8 |

ISBN (Print) | 1-84564-162-0 |

Publication status | Published - 2006 |

Event | Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet - Stockholm, Sweden Duration: 21 Sep 2009 → 25 Sep 2009 |

### Conference

Conference | Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet |
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Country/Territory | Sweden |

City | Stockholm |

Period | 21/09/09 → 25/09/09 |

### Bibliographical note

C.A. Brebbia## Keywords

- optimal design
- truss