Af. Seybert et al., A COUPLED FEM BEM FOR FLUID-STRUCTURE INTERACTION USING RITZ VECTORS AND EIGENVECTORS, Journal of vibration and acoustics, 115(2), 1993, pp. 152-158
In this paper, the finite element (FEM) and the boundary element metho
d (BEM) are combined together to solve a class of fluid-structure inte
raction problems. The FEM is used to model the elastic structure and t
he BEM is used to model the acoustic fluid. Quadratic isoparametric el
ements are used in both the FEM and BEM models. Continuity conditions
of pressure and normal velocity are enforced at the fluid-structure in
terface on which the normal vector is not required to be uniquely defi
ned. An enhanced CHIEF formulation is adopted to overcome the nonuniqu
eness difficulty at critical frequencies. To reduce the dimension of t
he coupled structural acoustic equations, the structural displacement
is approximated by a linear combination of either Ritz vectors or eige
nvectors. An error norm and a participation factor are defined so that
it is possible to evaluate the accuracy of a solution and to omit vec
tors with small participation factors. Example problems are solved to
examine the accuracy of the numerical solutions and to compare the eff
iciency of the Ritz vector and eigenvector syntheses.