Stress analysis of thin and thick plates on elastic foundations using boundary and finite element methods
In this work an attempt has been made to derive a full finite element and boundary element theory for the analysis of thin and thick plates on elastic foundations. A new high order shear finite element capable of the analysis of thin thick plates has been derived using Hermitian and Lagrangian shape...
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| Language: | en |
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Cranfield University
2009
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| Online Access: | http://hdl.handle.net/1826/3523 |
| Summary: | In this work an attempt has been made to derive a full
finite element and boundary element theory for the analysis of
thin and thick plates on elastic foundations. A new high order
shear finite element capable of the analysis of thin thick plates
has been derived using Hermitian and Lagrangian shape functions.
Different new boundary element derivations for the analysis of
thin plates on elastic foundations are introduced using 3
degrees-of-freedom per node. A full new derivation of boundary
elements for thick plates on elastic foundations using complex
Bessel functions is presented. Fourier and Hankel integral
transforms have been employed for the derivation of different
fundamental solutions required for boundary element analysis.
Several techniques for dealing with singular and divergent
integrals encountered with boundary integral equations were
developed including the use of "Modified Kelvin Functions" and
fictitious boundary concept. some case studies with different
loading and boundary conditions were tested and proved that the
new derivations presented in this work are correct and reliable
for the analysis of thin and thick plates on elastic foundations. |
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