ANALYSIS OF SMALL VIBRATIONS OF COUPLED FLUID-STRUCTURE SYSTEMS

The article deals with the non-selfadjoint eigenvalue problem arising in the analysis of linear vibrations of coupled fluid-structure system s when the fluid is described by its pressure field First the complete ness of the eigenvectors is verified. Then a simple relationship betwe en the eigenvectors of the original problem and those of the adjoint p roblem is derived. To solve the eigenvalue problem a subspace iteratio n procedure is presented. The results are also ex-tended to systems wi th rigid body motions and constant pressure fields.