Bounds on modal damping by a component modes method using Lagrange multipliers

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

Duke Scholars

Author Earl H. Dowell Thomas Lord Department of Mechanical Engineering and Materia ...