Mixed Finite Element SubstructureSubdomain Methods for the Dynamical Analysis of Coupled FluidSolid Interaction Problems
Abstract
Based on a variational method adopting the dynamic pressure in the fluid and the acceleration in the solid as arguments in the functional, several substructuresubdomain methods are developed to describe the dynamical behaviour of fluidstructure systems excited externally. Formulations are presented of a displacement consistency model and a hybrid displacement model for the solid structure, a pressure equilibrium model for the fluid and a mixed substructuresubdomain model for the fluidstructure interacting system. These substructuresubdomain methods make the mixed finiteelement approaches developed to analyse fluidsolid interactions more effective and efficient especially in calculating solutions to large complex engineering problems. This is achieved through the suitable selection of mode vectors to reduce the number of degrees of freedom accepted in the finiteelement method to a manageable size without reducing significantly the accuracy of solution; by synthesis of the equations modelling the dynamic interactions and by developing techniques to eliminate mathematical difficulties occurring in the matrix formulations. By these means, consistent and unifying theoretical models are developed to describe the dynamical behaviour of the solid, fluid and their interactions which are in forms adaptable for solution on a personal computer. This is demonstrated by analysing a wide selection of fluidstructure (e.g. damwater system excited by earthquake or explosion) and airstructure (e.g. structuralborne noise in a fuselage) interacting systems using purposely written computer software.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 February 1996
 Bibcode:
 1996RSPSA.354..259X