On the Structural Shape Optimization through Variational Methods and Evolutionary Algorithms

被引：36

作者：

Fraternali, Fernando ^{[1
]}

Marino, Andrea ^{[1
]}

El Sayed, Tamer ^{[2
]}

Della Cioppa, Antonio ^{[3
]}

机构：

[1] Univ Salerno, Dept Civil Engn, I-84100 Salerno, Italy

[2] CALTECH, Div Engn & Appl Sci, Pasadena, CA 91125 USA

[3] Univ Salerno, Dept Informat & Elect Engn, Salerno, Italy

来源：

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2011年 / 18卷 / 04期

关键词：

shape optimization; optimal control; ground structures; compliance optimization; evolutionary algorithms; PLANE ELASTIC PROBLEMS; LUMPED STRESS METHOD; TOPOLOGY; DESIGN;

D O I：

10.1080/15376494.2010.483319

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We employ the variational theory of optimal control problems and evolutionary algorithms to investigate the form finding of minimum compliance elastic structures. Mathematical properties of ground structure approaches are discussed with reference to arbitrary collections of structural elements. A numerical procedure based on a Breeder Genetic Algorithm is proposed for the shape optimization of discrete structural models. Several numerical applications are presented, showing the ability of the adopted search strategy in avoiding local optimal solutions. The proposed approach is validated against a parade of results available in the literature.

引用

页码：225 / 243

页数：19

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