Título: | FINITE ELEMENTS WITH SPLINE FUNCTIONS APPLIED TO STRUCTURAL DYNAMICS AND INSTABILITY | ||||||||||||||||||||||||||||||||||||
Autor: |
OSCAR FABRICIO ZULETA INCH |
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Colaborador(es): |
RAUL ROSAS E SILVA - Orientador |
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Catalogação: | 29/AGO/2008 | 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=12139&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=12139&idi=2 |
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DOI: | https://doi.org/10.17771/PUCRio.acad.12139 | ||||||||||||||||||||||||||||||||||||
Resumo: | |||||||||||||||||||||||||||||||||||||
The present work presents a subparametric finite element
model with spline displacement functions, implemented for
static, dynamic and instability analysis of folded plates,
thin-walled beams, box girders, and elongated structures
such as bridges and structural shapes. A drilling degree of
freedom (rotation about an axis perpendicular to the plane
of the element) is introduced in the formulation to
allow for three-dimensional analysis. A method for
determining the corresponding contribution to the stiffness
matrix is presented. The examples presented evaluate the
accuracy obtained using a small number of longitudinal
subdivisions of the continuum, convenient in the case of
analyses for preliminary design and optimization. The
results obtained are compared to theoretical solutions or
results of standard structural analysis programs, allowing
for an appraisal of the advantages and limitations of
modeling with use of spline functions. The
differences in the results, observed specially in the case
of thick plates, are explained by the approximations for the
shear strain in the elements used for comparison. From the
examples it is possible to comment results of
threedimensional modeling of instability problems with
different boundary conditions.
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