Kinematic influence on the vibrations of stratified plates

In this paper, we present the simulation results of the vibratory behaviour for an orthotropic stratified plate (Graphite/epoxy) embedded on his four sides, with dimensions [0°/90°/0°/90°/0°].

The work presented consists of the study of free vibrations of laminated plates thus worked out by two analytical and numerical approaches and an experimental validation. A tool intended for the calculation of the eigen frequencies of thin sections was used. In the first time, the problem of elasticity in small displacements discretized by the method of Rayleigh-Ritz has allowed the writing of a system of algebraic linear equations depending on the dimensional parameters. By the application of the algorithm of Graeff one carries out the construction of the nearest solutions (eigen frequencies). The developed method of Rayleigh-Ritz, valid whatever the number of terms retained in the series of approximation, highlighted an appreciable flexibility of handling especially in the case of free vibrations.

The simulations carried out show the extent of the possibilities offered by the proposed technique Using the last results, we evaluated the coupling flexion torsion on the dynamic analysis of the laminated plates and its influence on the normal frequencies, the orientation of fibers and the order of stratification on vibratory behaviour of the plate, the geometry of the plate and the conditions at the borders in the case of the plates with embedded borders, the matter of composition of the layers as well as the transverse shearing which has a great effect on the vibratory behaviour of the laminated plates in particular for embedded plates.