- Dowell, E.H., Free vibrations of a linear structure with arbitrary support conditions,
Trans. ASME, E, J. Appl. Mech. (USA), vol. 38 no. 3
pp. 595 - 600 .
(last updated on 2007/04/10)
A method for the analysis of the free vibrations of a linear structure supported in an arbitrary way is presented based upon the use of the normal modes of the unsupported or unconstrained structure in a Rayleigh-Ritz analysis with the support or constraint conditions enforced by means of Lagrange multipliers. The advantages of such a procedure over more conventional methods are discussed