Vibration of orthotropic plates with and without damping

The orthotropic materials are of a great importance and interest in the field of the modern industrial technologies’ applications such as: mechanics, aeronautics, civil engineering and biomechanics due to their hardness, their lightness and their super elasticity. During their working operation and under the effect of the external efforts, these materials can be submitted to cracks or ruptures which can cause the disaster of their structure. In order to avoid these types of problems, the analysis of these materials is necessary in order to predict their mechanical characteristics and thus to augment their lifespan. This analysis is based essentially on the internal structure of material, its geometry, its boundary conditions and the external applied conditions. Our work consists of the analysis of the static and dynamic behavior of thin orthotropic bi- dimensional plates under the effect of external efforts using the numerical methods and of modulating based on the finite element methods. The strain and stress in any node of the orthotropic plate have been found for various types of loading (random and harmonic), with and without damping comparatively with those of an isotropic plate of the same dimension. And good effectiveness and reliabilities of the mechanical properties of the orthotropic plate were observed compared to those of orthotropic one.