Proceedings of the 1995 ASME International Mechanical Congress and Exposition, San-Francisco, Kostarika, 12 - 17 Kasım 1995, cilt.46, ss.83-94
The problem of free bending vibrations of a multi-layer, specially orthotropic, composite plate system with very thin but flexible adhesive layers between the two consecutive laminae is formulated. The laminate transverse shear deformations and in-plane and rotatory moments of inertia were included in the formulation in the sense of the Mindlin Plate Theory. In the very thin adhesive layers, both thickness and shear deformations are taken into account. The formulation is applied to a two-layer, specially orthotropic plate system in which each plate has different elastic constants. In the solution, a revised version of the `Transfer Matrix Method' in combination with `Levy's Method' is employed. The only restriction is that the two opposite edges of the plates are to be simply supported while the two other edge conditions can be arbitrary. It is shown that in the case of a two-layer, specially orthotropic plate system with dissimilar material characteristics, the upper and lower plates exhibit completely different deflection shapes for the same modes. This fact can perhaps help to explain the local, and then subsequent global delamination failures often encountered in multi-layer composite systems in a dynamic environment. Also, the effects of some parameters on natural frequencies are studied and presented. Some important conclusions are drawn from numerical results and mode shapes.