Geometrically nonlinear axisymmetric vibrations of polar orthotropic circular plates

The geometrically nonlinear free vibrations of polar orthotropic circular plates are analyzed by the axisymmetric finite element. The formulation is based on the three-dimensional elasticity with all the nonlinear terms in the strains included and is considered to be more general and precise theoretically compared to the plate-theory-based nonlinear approaches. Numerical results with various geometries, orthotropies, amplitudes and boundary conditions by the present formulation are also shown and compared to those by other approaches.