- Dowell, E.H., Free vibrations of an arbitrary structure in terms of component modes,
Trans. ASME, E, J. Appl. Mech. (USA), vol. 39 no. 3
pp. 727 - 32 .
(last updated on 2007/04/10)
A method for the analysis of the free vibrations of an arbitrary structure in terms of component modes is presented based upon the use of the normal, free-free modes of the components in a Rayleigh-Ritz analysis with the constraint or continuity conditions between components enforced by means of Lagrange multipliers. Several examples are given and the advantages of such a procedure over more conventional methods are discussed