### Abstract

After analysing the relationship between various types of structural optimization problems, the foundations of optimal layout theory are reviewed and then illustrated with a simple example. Finally, a survey of the present state of knowledge for each broader class of layout problems is presented. The theory presented is of practical significance because changes in the layout have a substantial effect on the total cost of structures. Owing to some of its unusual mathematical features, layout theory is also having a certain impact on pure and applied mathematics. It is explained that in structural mechanics, most optimal design problems involve some layout optimization.

Original language | English |
---|---|

Title of host publication | Unknown Host Publication Title |

Publisher | Univ of Newcastle |

Publication status | Published - 1982 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Unknown Host Publication Title*Univ of Newcastle.

**NEW FIELD IN STRUCTURAL MECHANICS : THE THEORY OF OPTIMAL STRUCTURAL LAYOUTS.** / Rozvany, G.

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

*Unknown Host Publication Title.*Univ of Newcastle.

}

TY - GEN

T1 - NEW FIELD IN STRUCTURAL MECHANICS

T2 - THE THEORY OF OPTIMAL STRUCTURAL LAYOUTS.

AU - Rozvany, G.

PY - 1982

Y1 - 1982

N2 - After analysing the relationship between various types of structural optimization problems, the foundations of optimal layout theory are reviewed and then illustrated with a simple example. Finally, a survey of the present state of knowledge for each broader class of layout problems is presented. The theory presented is of practical significance because changes in the layout have a substantial effect on the total cost of structures. Owing to some of its unusual mathematical features, layout theory is also having a certain impact on pure and applied mathematics. It is explained that in structural mechanics, most optimal design problems involve some layout optimization.

AB - After analysing the relationship between various types of structural optimization problems, the foundations of optimal layout theory are reviewed and then illustrated with a simple example. Finally, a survey of the present state of knowledge for each broader class of layout problems is presented. The theory presented is of practical significance because changes in the layout have a substantial effect on the total cost of structures. Owing to some of its unusual mathematical features, layout theory is also having a certain impact on pure and applied mathematics. It is explained that in structural mechanics, most optimal design problems involve some layout optimization.

UR - http://www.scopus.com/inward/record.url?scp=0020219287&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020219287&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0020219287

BT - Unknown Host Publication Title

PB - Univ of Newcastle

ER -