A Condensing Method for Stochastic Hydro-Elastic Problems

In this work, we take an interest in the dynamic behavior study of structures coupled with fluids. We find these coupled systems in several industrial applications, therefore their sizes are important and their parameters should not be supposed deterministic. Our principal target is to test and validate methodologies which consist in condensing the system (that means to reduce the number of unknowns) and carrying out the stochastic study with noniterative methods. These methodologies will enable us to solve these problems, without using the classical methodology which consists in making a direct modal calculation combined with the Monte Carlo simulation which is a very greedy (in CPU) iterative method. The example of a voluminal structure immersed in water is studied to validate the proposed methodologies. The results of this study coincide with the references results and tend to show that it will be interesting to apply the proposed methodologies in the global conception process of recent patents, as the geothermal exchange systems. The comprehension of the mechanisms of interactions between a fluid and an elastic solid has a capital importance in several industrial applications. When a structure vibrates in the presence of a fluid, there is interaction between the natural waves of each media: the fluid flow generates a structural deformation and/or the movement of a solid causes the displacement of the fluid. These applications require an effective coupling. In (1-3) we find many methods to resolve fluid-structure interaction problems. Furthermore, the dynamic analysis of the industrial systems is