Título: | STABILITY ANALYSIS OF SLENDER COLUMNS PARTIALLY BURIED IN A NON-LINEAR ELASTIC FOUNDATION | ||||||||||||||||||||||||||||||||||||||||
Autor: |
GUSTAVO SEREBRENICK |
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Colaborador(es): |
PAULO BATISTA GONCALVES - Orientador |
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Catalogação: | 28/MAR/2005 | Língua(s): | PORTUGUESE - BRAZIL |
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Tipo: | TEXT | Subtipo: | THESIS | ||||||||||||||||||||||||||||||||||||||
Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
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Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=6168&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=6168&idi=2 |
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DOI: | https://doi.org/10.17771/PUCRio.acad.6168 | ||||||||||||||||||||||||||||||||||||||||
Resumo: | |||||||||||||||||||||||||||||||||||||||||
In this thesis the behavior of slender, partially embedded columns under
axial compressive forces is studied. The foundation is either represented by a
linear model, which considers that the soil reaction is proportional to the column’s
deflections or by a non-linear model in which this proportionality relation is not
observed. The inextensional slender beam theory is used to model the column.
Initially, the governing differential equations are deduced from the energy
functional of the column-foundation system. In the linear problem, the critical
loads and corresponding critical modes are looked for. In this case, an analytic
solution is obtained by the solution of the associated boundary value problem,
using a symbolic algebra software. An approximate solution is also found by
Ritz’s method. A parametric study is conducted to study the influence of the
column boundary conditions and foundation’s height and stiffness on critical
loads and modes. However, in the non-linear case, differential equations are much
more complex and an analytical solution is not possible. So, the Ritz’s method is
used once again, in which the analytic solutions of the linear problem
(eigenfunctions) are used as interpolation functions. After that, a non-linear
equilibrium equation is obtained together with the column post-buckling path.
These results are compared with the ones obtained using the finite element
method.
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