Plane Anisotropic Beams With Shear Deformation Via A Generalized Solution.
Abstract
The natural frequencies of plane anisotropic beams with shear deformation are
obtained, using a variational methodology developed by Filipich and Rosales named WEM
(Whole Element Method). The method consists in extremizing an appropriate functional after
using certain sequences that accomplish essential boundary conditions. Numerical examples
are carried out for anisotropic cantilever beams as well as simply supported beams with
narrow rectangular cross section, taking into account different fiber orientations.
Comparison is made with results from Murakami-Yamakawa beam theory and Cortinez-
Machado two-dimensional analysis.
obtained, using a variational methodology developed by Filipich and Rosales named WEM
(Whole Element Method). The method consists in extremizing an appropriate functional after
using certain sequences that accomplish essential boundary conditions. Numerical examples
are carried out for anisotropic cantilever beams as well as simply supported beams with
narrow rectangular cross section, taking into account different fiber orientations.
Comparison is made with results from Murakami-Yamakawa beam theory and Cortinez-
Machado two-dimensional analysis.
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