Plane Anisotropic Beams with Shear Deformation, Via a Generalized Solution

MACHADO SEBASTIÁN PABLO; FILIPICH CARLOS P; ROSALES MARTA B

Santa Fe - Paraná, Argentina.

Congreso; First South-American Congress on Computacional Mechanics; 2002

AMCA

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.