Dynamics of Porous Functionally Graded Curved Beams with Random Fields

Abstract

This article investigates the influence of probabilistic models of a structure on its frequency response. The structure is a metal/ceramic functionally graded beam with porosity (associated with construction irregularities). It is proposed the use of stochastic fields for the elastic and mass properties of the structure whose probabilistic characteristics are constructed using the Principle of Maximum Entropy. This implies to consider different levels of information in the structure (i.e, mean values, variation indices, etc.) with more Entropy as well as the information uncertainty increases. The structural model is discretized into finite elements to calculate the frequency response, and an additional reduction in modal variables is performed on this discrete model. The entropy of the response (according to Shannon’s definition) is analyzed on this latter reduced model to quantify the level of uncertainty. The studies are carried out for various configurations of the porous functionally graded material.