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Doctoral Thesis
DOI
10.11606/T.18.2018.tde-20032018-105806
Document
Author
Full name
Heitor Miranda Bottura
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1997
Supervisor
Committee
Laier, José Elias (President)
Brasil, Reyolando Manoel Lopes Rebello da Fonseca
El Debs, Ana Lúcia Homce de Cresce
Mesquita Neto, Euclides de
Vaz, Luiz Eloy
Title in Portuguese
Uma família de algoritmos hermitianos para a integração direta das equações de dinâmica das estruturas
Keywords in Portuguese
Algoritmo de integração
Algoritmo de passo simples
Hermitianos
Abstract in Portuguese
No presente trabalho desenvolve-se uma família de algoritmos de passo simples, com ordem de precisão local qualquer e aniquilamento assintótico para a análise dinâmica de estruturas. São utilizadas expressões hermitianas para as relações em diferenças envolvidas na representação das equações que descrevem o problema. Explicitam-se os membros da família, com precisão desde a primeira até a oitava ordem, que apresentam estabilidade incondicional, efetuando-se sua análise espectral bem como resolvendo-se um problema unidimensional e comparando-se com outros métodos, permitindo concluir-se pelo seu grande potencial de aplicação.
Title in English
not available
Keywords in English
not available
Abstract in English
An one-step methods family for direct numerical integration in structural dynamic analysis is derived. Asymptotic annihilation and arbitrary truncation error order are attained. Hermitian type expressions are used in difference equations involved in the problem description. Inconditionally stable members, from first up to eighth order, are presented. A spectral analysis is performed in these cases and a single degree of freedom problem is solved. The solution is compared with those given from other methods, allowing to expect a good performance in practical applications.
 
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Publishing Date
2018-03-20
 
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