Dynamic analysis of fluid-structure interaction problems with modal methods using pressure-based fluid finite elements

The present paper deals with numerical developments performed in the finite element code ANSYS in order to produce coupled fluid-structure dynamic analysis with pressure-based formulation, using modal and spectral methods. Enhancement of the modelling possibilities within the ANSYS code is carried out with implementation of fluid-structure symmetric formulations for elasto-acoustic and hydro-elastic problems, using the so-called symmetric (u,p,@f) and (u,@h,@f) formulations. Using symmetric formulation enables linear dynamic analysis with modal projection techniques for a fluid-structure coupled system. The paper briefly recalls the basic principles of such methods in the context of FSI. Validation of the developments performed in the ANSYS code is exposed, focusing in particular on the calculation of effective mass for coupled eigenmodes. Industrial application is also presented and gives a validation test case for modal and spectral methods with FSI modelling.

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

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

[3]  J.-R. Cho,et al.  ASSESSMENT OF CLASSICAL NUMERICAL MODELS FOR THE SEPARATE FLUID-STRUCTURE MODAL ANALYSIS , 2001 .

[4]  Jean-Franc¸ois Sigrist Symmetric and Non-Symmetric Formulations for Fluid-Structure Interaction Problems: Reference Test Cases for Numerical Developments in a Commercial Finite Element Code , 2006 .

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

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

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

[8]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

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

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

[11]  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 .

[12]  Bernard Peseux,et al.  Dynamic Analysis of a Coupled Fluid Structure Problem With Fluid Sloshing , 2004 .

[13]  Jean-François Sigrist,et al.  Calculs couplés fluide/structure en formulation pression/déplacement axisymétrique harmonique , 2005 .

[14]  Roger Ohayon,et al.  Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems , 2001 .

[15]  A. Bermúdez,et al.  Finite element vibration analysis of fluid-solid systems without spurious modes , 1995 .

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

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

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