On the breathing frequencies computation using the Reissner and the Mindlin model

摘要

The breathing frequencies of plates were computed using the frequency domain solution in conjunction with direct boundary integral equations (DBIEs) for plate bending including the shear deformation effect and the influence of rotatory inertia according to Reissner and Mindlin models. The formulation for the Reissner model takes into account the linearly weighted average effect of the normal stress component in the thickness direction with reference to that for the Mindlin model. Furthermore, the irrotational approach on the bending model containing the shear deformation effect to obtain the classical model is revisited taking into account the Reissner and the Mindlin model. Flexural and breathing frequencies for both models including the shear deformation effect and the influence of rotatory inertia were obtained and compared with available results in the literature to show the accuracy of the formulation.