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Doctoral Thesis
DOI
https://doi.org/10.11606/T.18.2018.tde-19042018-084624
Document
Author
Full name
Mauro Prudente
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1998
Supervisor
Committee
Antunes, Helena Maria Cunha do Carmo (President)
Bertolino Junior, Renato
Horowitz, Bernardo
Laier, José Elias
Ribeiro, Cassilda Maria
Title in Portuguese
Otimização de estruturas de aço treliçadas planas com variáveis discretas
Keywords in Portuguese
Estruturas de aço
Otimização estrutural
Treliças planas
Abstract in Portuguese
Apresenta-se neste trabalho um processo de busca da solução de mínimo peso, para estruturas de aço treliçadas planas utilizando-se seções formadas por perfis comerciais comuns, dimensionadas segundo a norma brasileira para projeto e execução de estruturas de aço de edifícios. Como base do processo de otimização foi utilizado o método do gradiente inteiro, alterando-se alguns critérios, no sentido de melhorar o desempenho e levar em conta a relação não linear entre as características geométricas dos perfis. São abordados os conceitos matemáticos básicos envolvidos no processo de otimização, os de análise de estruturas treliçadas planas, bem como a formulação para o dimensionamento de barras sujeitas a tração ou compressão. São apresentadas ainda as listagens dos programas envolvidos no processo e também exemplos de aplicação para demonstrar a eficácia dos procedimentos utilizados.
Title in English
Optimization of two-dimensional trusses composed by steel available sections
Keywords in English
Steel structures
Structural optimization
Two-dimensional trusses
Abstract in English
This work presents a process to find a least weight solution for two-dimensional trusses composed of available steel sections, according to brazilian code for design and constructions or steel buildings structures. The optimization process is based on the method of integer gradient directions. Some modifications were introduced in order to improve the algorithm and take into account the non-linear relationship between geometric characteristics for steel cross-section. It is also presented the basic concepts of mathematics optimization to design two-dimensional trusses, as well as the formulation for designing members in tension or compression. The program listing used in this process is also presented, as well as some examples, to demostrate the efficacy of the process.
 
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Publishing Date
2018-04-19
 
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