- Klein, L. R. and Dowell, E. H., ANALYSIS OF MODAL DAMPING BY COMPONENT MODES METHOD USING LAGRANGE MULTIPLIERS.,
Journal of Applied Mechanics, Transactions ASME, vol. 41 Ser E no. 2
pp. 527 - 528 .
(last updated on 2007/04/10)
In a recent Note Hallquist and Snyder formally analyzed a linear, damped vibrating system with arbitrary support conditions using Lagrange multipliers. This method is dependent upon determining the coefficients C//i//j of the Rayleigh dissipation function for damping. Most commonly, in fact, what can be determined experimentally are the damping coefficients relative to the classical undamped normal modes of a structure. In their recent paper, Kana and Huzar developed an empirical method for predicting the modal damping of a Space Shuttle model by means of damping measurements performed on the individual substructures. As an alternative, presented here is a theoretical analysis which extends to the determination of the modal behavior of a damped linear elastic structure arbitrary complexity by a component mode method.