An overview of engineering numerical methods for the dynamic analysis of a nuclear reactor with fluid-structure interaction modelling

The paper is concerned with the dynamic analysis of a nuclear reactor with fluid-structure interaction modelling. Various fluid-structure interaction effects (inertial, elasto-acoustic coupling, confinement) are investigated using specific mathematical modelling. In particular, modelling of the reactor internal structures is performed using an homogenisation method whose numerical basis are exposed in the paper. Influence of fluidstructure coupling on the dynamic behaviour of the reactor is highlighted with a modal analysis, on the one hand, and a dynamic analysis in the 0-20 Hz and 20-200 Hz frequency range, on the other hand. Modal analysis is carried out by computing the mode shapes, frequencies and effective masses of the reactor with and without fluid-structure interaction. Dynamic analysis is performed using various engineering methods (temporal and spectral approaches) which are compared and discussed. From the engineering standpoint, the following questions, of paramount interest in pre-design ana...

[1]  Alain Millard,et al.  A Modern Approach of Large Computer Codes for Structural Analysis , 1989 .

[2]  A. Bensoussan,et al.  Asymptotic analysis for periodic structures , 1979 .

[3]  A. Preumont.  Vibrations des structures, interactions avec les fluides, sources d'excitations aleatoires , 1989 .

[4]  G. C. Everstine.  A symmetric potential formulation for fluid-structure interaction , 1981 .

[5]  F. Axisa,et al.  Non-linear analysis of fluid-structure coupled transients in piping systems using finite elements - application to the mechanical effects of the sodium-water reaction in the secondary loop of a pool-type LMFBR , 1982 .

[6]  J. Planchard,et al.  Natural frequencies of tube bundle in an uncompressible fluid , 1983 .

[7]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[8]  Jean-François Sigrist,et al.  Dynamic analysis of a nuclear reactor with fluid–structure interaction: Part II: Shock loading, influence of fluid compressibility , 2007 .

[9]  Jaroslav Mackerle,et al.  Finite element vibration and dynamic response analysis of engineering structures - A bibliography (1994-1998) , 2000 .

[10]  J. Planchard.  Eigenfrequencies of a tube bundle placed in a confined fluid , 1982 .

[11]  Peter Göransson,et al.  A symmetric finite element formulation for acoustic fluid-structure interaction analysis , 1988 .

[12]  C. Rajakumar,et al.  The Lanczos algorithm applied to unsymmetric generalized eigenvalue problem , 1991 .

[13]  R. J. Fritz.  The Effect of Liquids on the Dynamic Motions of Immersed Solids , 1972 .

[14]  G. Wszołek.  Modelling of mechanical systems vibrations by utilisation of GRAFSIM software , 2005 .

[15]  E. Sanchez-Palencia.  Non-Homogeneous Media and Vibration Theory , 1980 .

[16]  R. Ohayon,et al.  Substructure variational analysis of the vibrations of coupled fluid–structure systems. Finite element results , 1979 .

[17]  Jaroslav Mackerle.  Earthquake analysis of structures: FEM and BEM approaches a bibliography (1995-1998) , 1999 .

[18]  C. Conca,et al.  Fluids And Periodic Structures , 1995 .

[19]  Cyril M. Harris,et al.  Shock and vibration handbook , 1976 .

[20]  R. Ohayon,et al.  Fluid-Structure Interaction: Applied Numerical Methods , 1995 .

[21]  Jean-François Sigrist,et al.  Homogenisation method for the modal analysis of a nuclear reactor with internal structures modelling and fluid–structure-interaction coupling , 2007 .

[22]  J. Mackerle.  Fluid—structure interaction problems, finite element and boundary element approaches a bibliography (1995-1998) , 1999 .

[23]  Modal analysis of fluid-structure interaction problems with pressure-based fluid finite elements for industrial applications , 2007 .

[24]  Jean-François Sigrist,et al.  Dynamic analysis of a nuclear reactor with fluid–structure interaction: Part I: Seismic loading, fluid added mass and added stiffness effects , 2006 .

[25]  Paolo Crosetto,et al.  Fluid-Structure Interaction Problems in Hemodynamics , 2011 .

[26]  Jean-François Sigrist,et al.  Dynamic analysis of fluid-structure interaction problems with modal methods using pressure-based fluid finite elements , 2007 .

[27]  Tasnim Hassan,et al.  Time and frequency domain analyses of single-degree-of-freedom systems , 1996 .

[28]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[29]  M. Dokainish,et al.  A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods , 1989 .