A modal synthesis method employing physical coordinates, free component modes, and residual flexibilities

Abstract

For the solution of the eigenproblem of large dynamical MK systems a new component synthesis method incorporating residual flexibilities and free component modes is developed. The assembly procedure for this method is particularly simply, in fact the components can be linked to other components or elements like a conventional finite element by the direct stiffness approach, because the reduced component models employ the physical coordinates of the interface nodes among others. Therefore, the method may easily be integrated into an existing finite element code. Converence is outstanding because the residual flexibilities are considered at the interface degrees of freedom linking the individual substructures. It is believed that the method possesses potential computer applicablity because of the listed advantages.