Towards an analytical formulation for Fluid Structure tank vibration analysis: Modal equivalency using granular materials

Sinh-Khoa Nguyen (1) , Pierre-Louis Chiambaretto (1) , M. Charlotte (1) , Philippe Villedieu (2) , Joseph Morlier (1) , Yves Gourinat (1)

1 ICA - Institut Clément Ader
2 DMPE, ONERA, Université de Toulouse [Toulouse]

This paper focuses on a new methodology for substitution of Liquid Hydrogen (LH2) contained in cryogenic tank in vibration analysis by using surrogate granular materials. Our analysis is limited to a 3D tank that is supposed to be fully filled with granular grains and tries to establish a modal equivalence between (tank fully filled with LH2) and (tank fully filled with granular grains) systems. For this, we determine required pre-stresses based on a homogenization technique from properties of grains. After reviewing some important mathematical formulations of vibration and homogenization model, an example of modal equivalence between these two systems is presented. Analytical results are also compared with numerical simulations in order to prove the suitability of the new method.

Mots clés: Cryogenic tank; Granular materials; Vibration analysis; Effective modal equivalences; Homogenization

Domaines: Mécanique des matériaux [physics.class-ph]

Sinh-Khoa Nguyen, Pierre-Louis Chiambaretto, M. Charlotte, Philippe Villedieu, Joseph Morlier, et al.. Towards an analytical formulation for Fluid Structure tank vibration analysis: Modal equivalency using granular materials. Engineering Structures, 2018, 177, pp.345-356. ⟨10.1016/j.engstruct.2018.09.077⟩. ⟨hal-01893436⟩