, Computationally reproducing the experimental conditions. Hypotheses and validations
, 60 6.2.2 Simulating the experimental setup with the computational model, p.62
, Dynamical excitation of the system
66 6.2.5 Quantities of interest for analyzing the results in the time and frequency domains ,
, Explaining the experimental unexpected sloshing phenomenon by the simulations
, Dynamical responses of the fluid-structure system
75 7.2.1 Hypotheses for the stochastic nonlinear reduced-order model, p.75 ,
, Uncertainty sensitivity analysis on the dynamical responses of the fluid-structure system
85 7.4.1 Generating the simulated data, vol.86 ,
The Dynamic Behavior of Liquids in Moving Containers, with Applications to Space Vehicle Technology, 1966. ,
An experimental study of liquid instability in a vibrating elastic tank, Journal of Spacecraft and Rockets, vol.3, issue.8, pp.1183-1188, 1966. ,
Computational modeling of a coupled fluid-structure system with sloshing and capillarity, Actes du 23ème Congrès Français de Mécanique (CFM 2017), 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01585714
A computational strategy for solving large generalized eigenvalue problems in fluid-structure interactions, Proceedings of the 13th World Congress of Computational Mechanics (WCCM 2018), 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01876047
Geometrically nonlinear effects on a fluid-structure computational model with sloshing and capillarity, Proceedings of the 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01810492
Nonlinear dynamical analysis of a fluid-structure computational model with sloshing and capillarity, Proceedings of the 28th Conference on Noise and Vibration Engineering (ISMA 2018), pp.1-12, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01876786
Solving generalized eigenvalue problems for large scale fluid-structure computational models with mid-power computers, Computers & Structures, vol.205, pp.45-54, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01796689
Analyse d'une expérimentation exhibant une instabilité dans un liquide avec un modèle réduit non linéaire fluide-structure, Actes du 14ème Colloque National en Calcul des Structures (CSMA 2019), pp.1-7, 2019. ,
Nonlinear dynamical analysis for coupled fluid-structure systems, Nonlinear Structures and Systems, vol.1, pp.151-153, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02100277
Nonlinear reduced-order model of coupled fluid-structure system with sloshing and capillarity-revisiting and explaining an experiment, Proceedings of the 8th International Conference on Coupled Problems in Science and Engineering (COUPLED 2019), 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02175605
Revisiting the experiment of a free-surface resonance of a liquid in a vibration tank using a nonlinear fluid-structure computational model, Journal of Fluids and Structures, vol.85, pp.149-164, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02052818
Uncertainty quantification in reduced-order model for vibrations of geometrical nonlinear structures coupled with acoustic fluids in presence of sloshing and capillarity, Proceedings of the 3rd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP2019), 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02175546
Uncertainty quantification for dynamics of geometrically nonlinear structures coupled with internal acoustic fluids in presence of sloshing and capillarity, Journal of Fluids and Structures, 2019. ,
Parallel eigenvalue calculation based on multiple shift-invert Lanczos and contour integral based spectral projection method, Parallel Computing, vol.40, issue.7, pp.195-212, 2014. ,
Non-linear vibrations of shells: A literature review from, International Journal of Non-Linear Mechanics, vol.58, pp.233-257, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-01299631
, Nonlinear Vibrations and Stability of Shells and Plates, 2008.
Experimental study on large-amplitude vibrations of water-filled circular cylindrical shells, Journal of Fluids and Structures, vol.16, issue.2, pp.213-227, 2002. ,
Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction, Applied Mechanics Reviews, vol.56, issue.4, pp.349-381, 2003. ,
Reduced-order models for nonlinear vibrations of cylindrical shells via the proper orthogonal decomposition method, Journal of Fluids and Structures, vol.18, issue.2, pp.227-250, 2003. ,
Reduced-order models for nonlinear vibrations of fluid-filled circular cylindrical shells: comparison of POD and asymptotic nonlinear normal modes methods, Journal of Fluids and Structures, vol.23, issue.6, pp.885-903, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00838880
, , 1999.
Templates for the solution of algebraic eigenvalue problems: a practical guide, 2000. ,
POD-galerkin monolithic reduced order models for parametrized fluid-structure interaction problems, International Journal for Numerical Methods in Fluids, vol.82, issue.12, pp.1010-1034, 2016. ,
, Finite Element Procedures, 2006.
The subspace iteration method-Revisited, Computers & Structures, vol.126, pp.177-183, 2013. ,
Liquid sloshing in a cylindrical quarter tank, AIAA Journal, vol.1, issue.11, pp.2601-2606, 1963. ,
Methods and programs for analysis of fluid-structure systems, Nuclear Engineering and Design, vol.42, issue.1, pp.41-52, 1977. ,
Computer methods for transient fluid-structure analysis of nuclear reactors, Nuclear Safety, vol.26, issue.1, pp.14-31, 1985. ,
On a spectral problem in vibration mechanics: computation of elastic tanks partially filled with liquids, Journal of Mathematical Analysis and Applications, vol.51, issue.2, pp.272-298, 1975. ,
, Hydroelasticity of Ships, 1979.
The surface evolver, Experimental mathematics, vol.1, issue.2, pp.141-165, 1992. ,
The solution of singular-value and symmetric eigenvalue problems on multiprocessor arrays, SIAM Journal on Scientific and Statistical Computing, vol.6, issue.1, pp.69-84, 1985. ,
, Fundamentals of Acoustics, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00078957
Design optimization with an uncertain vibroacoustic model, Journal of Vibration and Acoustics, vol.130, issue.2, p.21001, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00686133
An improvement of the uncertainty quantification in computational structural dynamics with nonlinear geometrical effects, International Journal for Uncertainty Quantification, vol.7, issue.1, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01465405
Computational stochastic statics of an uncertain curved structure with geometrical nonlinearity in three-dimensional elasticity, Computational Mechanics, vol.49, issue.1, pp.87-97, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00684289
Experimental study of large amplitude vibrations of a thin plate in contact with sloshing liquids, Journal of Fluids and Structures, vol.42, pp.88-111, 2013. ,
Eigenvalues of Matrices: Revised Edition, 2012. ,
Nonlinear vibration of cylindrical shells, AIAA Journal, vol.13, issue.7, pp.868-876, 1975. ,
Nonlinear hydroelastic vibration of a cylindrical tank with an elastic bottom, containing liquid. part I: Experiment, Journal of Fluids and Structures, vol.6, issue.2, pp.181-206, 1992. ,
ScaLAPACK: A portable linear algebra library for distributed memory computers. Design issues and performance, International Workshop on Applied Parallel Computing, pp.95-106, 1995. ,
A theory for nonlinear transverse vibrations of a partially filled elastic tank, AIAA Journal, vol.5, issue.10, pp.1828-1835, 1967. ,
The finite element method for elliptic problems, Classics in Applied Mathematics, vol.40, pp.1-511, 2002. ,
Nonlinear Finite Element Analysis of Solids and Structures, 2012. ,
On a purely lagrangian formulation of sloshing and fluid-induced vibrations of tanks, Computer Methods in Applied Mechanics and Engineering, vol.58, issue.1, pp.1-18, 1986. ,
, 5th International Conference on, vol.33, pp.315-327, 2008.
An Introduction to Domain Decomposition Methods: Algorithms, Theory, and Parallel Implementation, 2015. ,
URL : https://hal.archives-ouvertes.fr/cel-01100932
A fully parallel algorithm for the symmetric eigenvalue problem, SIAM Journal on Scientific and Statistical Computing, vol.8, issue.2, pp.139-154, 1987. ,
Software libraries for linear algebra computations on high performance computers, SIAM review, vol.37, issue.2, pp.151-180, 1995. ,
Comments on the nonlinear vibrations of cylindrical shells, Journal of Fluids and Structures, vol.12, pp.1087-1089, 1998. ,
Structural-acoustic modeling of automotive vehicles in presence of uncertainties and experimental identification and validation, The Journal of the Acoustical Society of America, vol.124, issue.3, pp.1513-1525, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00685108
Computation of the equilibrium position of a liquid with surface tension inside a tank of complex geometry and extension to sloshing dynamic cases, Computational Mechanics, vol.46, issue.1, pp.169-184, 2010. ,
Three-dimensional modal analysis of sloshing under surface tension, International Journal for Numerical Methods in Fluids, vol.65, issue.1-3, pp.87-105, 2011. ,
On the equations of capillarity, Journal of Mathematical Fluid Mechanics, vol.3, issue.2, pp.139-151, 2001. ,
The contact angle in capillarity, Physics of Fluids, vol.18, issue.4, p.47102, 2006. ,
On the capillary problem for compressible fluids, Journal of Mathematical Fluid Mechanics, vol.9, issue.1, pp.87-103, 2007. ,
, I. Flow Science. FLOW-3D, 2019.
Spectral stochastic finite-element formulation for reliability analysis, Journal of Engineering Mechanics, vol.117, issue.10, pp.2351-2372, 1991. ,
Stochastic Finite Elements: a Spectral Approach, 1991. ,
, Matrix Computations. SIAM, 2013.
An efficient Jacobi-like algorithm for parallel eigenvalue computation, IEEE Transactions on Computers, vol.42, issue.9, pp.1058-1065, 1993. ,
Parallel Arnoldi eigensolvers with enhanced scalability via global communications rearrangement, Parallel Computing, vol.33, issue.7, pp.521-540, 2007. ,
Hybrid numerical solvers for massively parallel eigenvalue computations and their benchmark with electronic structure calculations, Journal of Information Processing, vol.24, issue.1, pp.164-172, 2016. ,
The Impact of Parallel Architectures on the Solution of Eigenvalue Problems, 1985. ,
Domain decomposition approaches for accelerating contour integration eigenvalue solvers for symmetric eigenvalue problems, 2016. ,
An efficient implementation of parallel eigenvalue computation for massively parallel processing, Parallel Computing, vol.27, issue.14, pp.1831-1845, 2001. ,
The bathe subspace iteration method enriched by turning vectors, Computers & Structures, vol.186, pp.11-21, 2017. ,
Experimental study of induced oscillations with large deflections of fiberglass shells of revolution, International Applied Mechanics, vol.31, issue.11, pp.923-927, 1995. ,
Deflation techniques for an implicitly restarted Arnoldi iteration, SIAM Journal on Matrix Analysis and Applications, vol.17, issue.4, pp.789-821, 1996. ,
Vibration of Shells. Scientific and Technical Information Office, National Aeronautics and Space Administration, 1973. ,
Acoustic streaming, Journal of Sound and Vibration, vol.61, issue.3, pp.391-418, 1978. ,
Breathing vibrations of a circular cylindrical shell with an internal liquid, Journal of the Aerospace Sciences, vol.29, issue.9, pp.1052-1059, 1962. ,
Variational approach to fluid-structure interaction with sloshing, Nuclear Engineering and Design, vol.106, issue.1, pp.69-85, 1988. ,
Uncertainty in structural dynamics, Journal of Sound and Vibration, vol.288, issue.3, pp.423-429, 2005. ,
Sloshing frequencies for cylindrical and spherical containers filled to an arbitrary depth, Journal of Fluid Mechanics, vol.201, pp.243-257, 1989. ,
Random Matrices, Revised and Enlarged Second Edition, 1991. ,
Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems, Computer Methods in Applied Mechanics and Engineering, vol.197, pp.3951-3963, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00686140
Energy approach for static and linearized dynamic studies of elastic structures containing incompressible liquids with capillarity: a theoretical formulation, Computational Mechanics, vol.50, issue.6, pp.729-741, 2012. ,
Dynamic Stability of Bodies Containing Fluid, 1968. ,
Fluid Structure Interaction, 1992. ,
Reduced models for fluid-structure interaction problems, International Journal for Numerical Methods in Engineering, vol.60, issue.1, pp.139-152, 2004. ,
Structural Acoustics and Vibration: Mechanical Models, Variational Formulations and Discretization, 1998. ,
Advanced Computational Vibroacoustics: Reduced-Order Models and Uncertainty Quantification, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01162161
Vibration of structures containing compressible liquids with surface tension and sloshing effects. Reduced-order model, Computational Mechanics, vol.55, issue.6, pp.1071-1078, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01081488
Nonlinear model reduction for computational vibration analysis of structures with weak geometrical nonlinearity coupled with linear acoustic liquids in the presence of linear sloshing and capillarity, Computers & Fluids, vol.141, pp.82-89, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01296500
Novel formulation for the effects of sloshing with capillarity on elastic structures in linear dynamics, International Journal for Numerical Methods in Engineering ,
URL : https://hal.archives-ouvertes.fr/hal-02461304
, The Symmetric Eigenvalue Problem. SIAM, 1998.
Acoustics: An Introduction to Its Physical Principles and Applications, 1989. ,
Dynamics of Elastic Containers Partially Filled with Liquid, Applied Physics and Engineering, 1968. ,
Code verification by the method of manufactured solutions, Journal of Fluids Engineering, vol.124, issue.1, pp.4-10, 2002. ,
Massively parallel solution of the biglobal eigenvalue problem using dense linear algebra, AIAA Journal, vol.47, issue.10, p.2449, 2009. ,
Estimating curvatures and their derivatives on triangle meshes, Proceedings. 2nd International Symposium on 3D Data Processing, pp.486-493, 2004. ,
Numerical Methods for Large Eigenvalue Problems: Revised Edition, 2011. ,
Influence de la Gravité sur les Vibrations Linéaires d'une structure Elastique Contenant un Liquide Incompressible, 2001. ,
Linearized formulation for fluid-structure interaction: Application to the linear dynamic response of a pressurized elastic structure containing a fluid with a free surface, Journal of Sound and Vibration, vol.332, issue.10, pp.2396-2414, 2013. ,
On the treatment of uncertainties in structural mechanics and analysis, Computers & structures, vol.85, issue.5-6, pp.235-243, 2007. ,
Design of porous micro-structures using curvature analysis for additive-manufacturing, Procedia CIRP, vol.36, pp.279-284, 2015. ,
A nonparametric model of random uncertainties for reduced matrix models in structural dynamics, Probabilistic Engineering Mechanics, vol.15, issue.3, pp.277-294, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00686293
Random matrix theory and non-parametric model of random uncertainties in vibration analysis, Journal of Sound and Vibration, vol.263, issue.4, pp.893-916, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00686213
Stochastic Models of Uncertainties in Computational Mechanics. American Society of Civil Engineers Reston, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00749201
Uncertainty Quantification: An Accelerated Course with Advanced Applications in Computational Engineering, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01498996
A nonparametric probabilistic approach for quantifying uncertainties in low-dimensional and high-dimensional nonlinear models, International Journal for Numerical Methods in Engineering, vol.109, issue.6, pp.837-888, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01353194
Implicit application of polynomial filters in ak-step Arnoldi method, SIAM Journal on Matrix Analysis and Applications, vol.13, issue.1, pp.357-385, 1992. ,
Linear sloshing in a 2d rectangular tank with a flexible sidewall, Journal of Fluids and Structures, vol.73, pp.70-81, 2017. ,
A parallel divide and conquer algorithm for the symmetric eigenvalue problem on distributed memory architectures, SIAM Journal on Scientific Computing, vol.20, issue.6, pp.2223-2236, 1999. ,
Liquid Sloshing in an Elastic Container, 1966. ,
Le calcul des réservoirs élastiques partiellement remplis de liquides, pour la prévision de l'effet pogo, Recherche Aérospatiale, issue.6, pp.367-379, 1974. ,
Le calcul des réservoirs élastiques partiellement remplis de liquides, pour la prévision de l'effet pogo, Actes du 23ème Congrès de la Fédération Internationale d'Astronautique, 1972. ,
QR-like algorithms for eigenvalue problems, Journal of Computational and Applied Mathematics, vol.123, issue.1, pp.67-83, 2000. ,
Nonlinear Finite Element Methods, 2008. ,
A parallel Lanczos method for symmetric generalized eigenvalue problems. Computing and Visualization in Science, vol.2, pp.37-46, 1999. ,
, The Finite Element Method, 1977.