- Dowell, E.H., Bounds on modal damping by a component modes method using Lagrange multipliers,
Trans. ASME, J. Appl. Mech. (USA), vol. 47 no. 1
pp. 211 - 13 .
(last updated on 2007/04/10)
The author has deduced recently some general properties for the natural frequencies of dynamical systems which are composed of several components. It is shown that for two component systems a simple explicit formula for modal damping is available once the total system natural frequencies are calculated. From this result it is also shown that in a special, but important, case an explicit analytical bound is obtainable for damping without the necessity of computing first the system natural frequencies. In the general case a simple numerical procedure is suggested for obtaining bounds