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Doctoral Thesis
DOI
https://doi.org/10.11606/T.3.2017.tde-03072017-165248
Document
Author
Full name
Henrique de Britto Costa
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1986
Supervisor
Committee
Lima, Victor Manoel de Souza (President)
Diogo, Luiz Antonio Cortese
Mazzilli, Carlos Eduardo Nigro
Savassi, Walter
Venancio Filho, Fernando
Title in Portuguese
Elementos finitos (via resíduos ponderados) na resolução do problema de segunda ordem das placas.
Keywords in Portuguese
Método dos elementos finitos
Resíduos ponderados
Teoria das placas
Teoria de segunda ordem
Abstract in Portuguese
Este trabalho aborda os conceitos básicos da teoria de segunda ordem das placas elásticas delgadas, utilizando o Método dos Elementos Finitos (introduzido através do Método dos Resíduos Ponderados, na variante de Galerkin). São deduzidas as matrizes de rigidez geométrica, de rigidez secante e de rigidez tangente, relativas ao problema em consideração. É proposta ainda uma conduta notavelmente simplificada, que facilita sobremaneira a construção da matriz de rigidez tangente.
Title in English
Second order theory of thin plates. Application of the weighted residual and Finite Element Methods.
Keywords in English
Finite element method
Second order theory
Thin plates theory
Weighted residual method
Abstract in English
This paper delas with the basic concepts of the secondf order theory of thin elastic plates, through the use of the Finite Element Method 9introcuced through the Weighted Residual Method, in Galerkin's approach). The matrices of geometric stiffness, secant stiffness, and tangent stiffness for the problem under consideration are deduced. It is also proposed an outstandingly simplified conduct, which will greatly easen the construction of the tangent stiffness matrix.
 
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Publishing Date
2017-07-03
 
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