Título: | THE SIMPLIFIED HYBRID BOUNDARY ELEMENT METHOD APPLIED TO TIME DEPENDENT PROBLEMS | ||||||||||||||||||||||||||||||||||||||||
Autor: |
RICARDO ALEXANDRE PASSOS CHAVES |
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Colaborador(es): |
NEY AUGUSTO DUMONT - Orientador |
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Catalogação: | 22/MAR/2004 | 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=4685&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=4685&idi=2 |
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DOI: | https://doi.org/10.17771/PUCRio.acad.4685 | ||||||||||||||||||||||||||||||||||||||||
Resumo: | |||||||||||||||||||||||||||||||||||||||||
The hybrid boundary element method was introduced in 1987.
Since then, the method has been successfully applied to
different problems of elasticity and potential, including
time-dependent problems. This thesis presents an attempt to
consolidate a formulation for the general analysis of the
dynamic response of elastic systems. Based on a mode-
superposition technique, a set of coupled, higher-order
differential equations of motion is transformed into a set
of uncoupled second order differential equations, which may
be integrated by means of standard procedures. The first
motivation for these theoretical developments is the hybrid
boundary element method, a generalization of T. H. H.
Pian`s previous achievements for finite elements, which,
requiring only boundary integrals, yields a stiffness
matrix for arbitrary domain shapes and any number of
degrees of freedom. The method is also an extension of a
formulation introduced by J. S. Przemieniecki, for the free
vibration analysis of bar and beam elements based on a
power series of frequencies. It handles constrained and
unconstrained structures, non-homogeneous initial
conditions given as nodal values as well as prescribed
domain fields and general domain forces (other than
inertial forces). This thesis also focuses on establishing
the conceptual framework for applying the simplified
version of the hybrid boundary element method to
functionally graded materials. Several classes of
fundamental solutions for steady-state and time-dependent
problems of potential are derived for a frequency-domain
analysis combined with an advanced mode superposition
technique based on a power series of frequencies. Thus, the
boundary-only feature of the method is preserved even with
such spatially varying material property.Several numerical
examples are given in terms of an efficient patch test for
irregular bounded, unbounded and multiply connected regions
submitted to high gradients.
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