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Doctoral Thesis
DOI
10.11606/T.18.2018.tde-18042018-100926
Document
Author
Full name
Elizabeth Oshima de Aguiar
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1999
Supervisor
Committee
Barbato, Roberto Luiz de Arruda (President)
Arenales, Marcos Nereu
Proença, Sergio Persival Baroncini
Savassi, Walter
Vizotto, Isaías
Title in Portuguese
Contribuição ao estudo de estruturas de cabos para coberturas de grandes áreas livres, considerando as não linearidades física e geométrica
Keywords in Portuguese
Análise não linear
Estruturas de cabos
Grandes deslocamentos
Abstract in Portuguese
A pesquisa foi desenvolvida com a finalidade de se analisar o comportamento elástico e inelástico de estruturas de cabos, sob carregamento estático, pela técnica dos elementos finitos. Para a discretização das estruturas de cabos adotou-se um elemento retilíneo isoparamétrico, e na formulação dos princípios variacionais foram considerados a não linearidade física do material e a não linearidade geométrica, inerente às estruturas de cabos. Empregou-se o método incrementai-iterativo de Newton-Raphson para a resolução do sistema de equações não lineares. Alternativamente a solução foi obtida da minimização direta da função energia potencial total da estrutura de cabos, utilizando-se o método do Gradiente Conjugado. Vários exemplos de estruturas de cabos comumente empregadas em coberturas de grandes vãos foram estudados. Os resultados obtidos segundo os dois procedimentos foram analisados e a eficiência elos métodos foi comprovada.
Title in English
Contribution to the study of cable structures for large span roofs by considering material and geometric non-linearity
Keywords in English
Cable structures
Large displacements
Nonlinear analysis
Abstract in English
The research was developed with the purpose of analyzing the elaslic and the inelaslic behaviour of cable slructures, under static load. The finite element method with straight isoparametric element was used. In the formulation of the variational principles, the material and the geometric non-linearity were considered. The Newton-Raphson method was used to resolve the non-linear equations system. Alternatively the solution was obtained of the direct minimization of the total potential energy of the cable structure; in this case using the Conjugated Gradient Method. Several examples of cable structures, commonly employed in roofs of large spaces were studied. The results were obtained according to both processes and the efficiency of the methods was verified.
 
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Publishing Date
2018-04-18
 
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