Comportement vibratoire de réseau de plaques assemblées

Abstract
The aim of this work is to explain the vibrational behaviour of several plate structures whose plates are joined at different angles, having same widths but different lengths. An analytical formulation using a semi modal decomposition along the junction direction and a wave formulation along the perpendicular one is developed. This approach is very powerful because its numerical implementation is not too heavy (contrary to FEM) and because it's very versatile. Basic vibrational control parameters such as the quadratic velocity and the transfert mobility are shown. The simplest structure considered in this study is made of twin plates connected at any angle. It is shown that in some particular configuration, the vibrational behaviour of the structure can be highly sensitive to slight modifications of a geometrical parameter, particularly the angle between the plates. A statistical way is used to illustrate this phenomenon currently encountered in industrial applications. This formulation can also deal with periodic structures such as corrugated plates.