Vibrations hydroélastiques de réservoirs élastiques couplés à un fluide interne incompressible à surface libre autour d’un état précontraint

Abstract : This doctoral thesis focuses on the calculation by the finite element method of the dynamic behavior of prestressed elastic tanks containing an internal liquid with a free surface. We consider that the hydrostatic pressure exerted by the incompressible internal fluid on the flexible walls of the tank causes large displacements, thus leading to a geometric non-linear equilibrium state. The change of stiffness related to this prestressed state induces a shift in the resonance frequencies of the coupled linear vibration problem. The main objective of the work is therefore to estimate, through precise and efficient numerical approaches, the influence of geometric nonlinearities on the hydroelastic behavior of the reservoir/internal liquid system around different equilibrium configurations. The methodology developed is carried out in two stages. The first one consists in calculating the non-linear static state by a total Lagrangian finite element approach.The action of the fluid on the structure is modelled here by hydrostatic following forces. The second step is the calculation of linearized coupled vibrations. In particular, an original reduced order model is proposed to limit the calculation costs associated with the estimation of the added mass effect. Finally, various examples are proposed and compared with results from the literature (from numerical simulations or experimental tests) to show the effectiveness and validity of the different numerical approaches developed in this work.
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Christophe Hoareau. Vibrations hydroélastiques de réservoirs élastiques couplés à un fluide interne incompressible à surface libre autour d’un état précontraint. Mécanique des structures [physics.class-ph]. Conservatoire national des arts et metiers - CNAM, 2019. Français. ⟨NNT : 2019CNAM1241⟩. ⟨tel-02303327⟩

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