A local-restart coupled strategy for simultaneous sizing and geometry truss optimization

This paper presents an approach for the global optimization of truss sizing and geometry that is based on a probabilistic restart procedure coupled with a local search algorithm. The resulting algorithm is able to guarantee local optimality and provides a set of local optima which contain, with an i...

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Bibliographic Details
Published inLatin American journal of solids and structures Vol. 8; no. 3; pp. 335 - 349
Main Authors Torii, André Jacomel, Lopez, Rafael Holdorf, Luersen, Marco Antônio
Format Journal Article
LanguageEnglish
Published Associação Brasileira de Ciências Mecânicas 01.09.2011
Marcílio Alves
Subjects
ENGINEERING, CIVIL
ENGINEERING, MECHANICAL
geometry optimization
global optimization
MECHANICS
minimum volume
size optimization
stress constraints
truss structures
size optimization
minimum volume
geometry optimization
truss structures
global optimization
stress constraints
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Summary:This paper presents an approach for the global optimization of truss sizing and geometry that is based on a probabilistic restart procedure coupled with a local search algorithm. The resulting algorithm is able to guarantee local optimality and provides a set of local optima which contain, with an increasing probability as the number of restarts increases, the global solution. The optimization problem searches for a truss structure of minimum volume, subject to stress constraints. The design variables are the bars cross-section areas and some nodal coordinates. Several loading conditions are also considered. Finally, four numerical examples are presented and the main aspects of the approach are discussed.
ISSN:1679-7825
1679-7825
DOI:10.1590/S1679-78252011000300008