Random Response Analysis of Curvilinearly Stiffened Plates Using Element-Free Galerkin Method

Abstract

An Element Free Galerkin (EFG) formulation is presented for studying the random response of curvilinearly-stiffened plates. The structure is subjected to stationary random stochastic loading. The random loads are assumed as stationary in time but can be nonhomogeneous in space. The spectral density of the nodal force vector is formulated using the displacement shape functions. The direct complex matrix inversion method and modal superposition method are used to obtain the random response of structure. The spectral density of displacement for un-stiffened plate under white noise and plate with straight stiffeners subjected to jet noise are compared with those available in the literature. The power spectral density of displacement of curvilinearly-stiffened plate under white noise is also verified using the commercial finite element software ANSYS. Excellent agreement is seen in all cases. The effect of stiffener stiffness and curvature and in-plane load on spectral density of deflection of curvilinearly-stiffened plate is also investigated.