Papers Published

1. 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 (1980), pp. 211 - 13 .
   (last updated on 2007/04/10)

   Abstract:
   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

   Keywords:
   damping;vibrations;