ANALYSIS OF MODAL DAMPING BY COMPONENT MODES METHOD USING LAGRANGE MULTIPLIERS.
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.
Journal of Applied Mechanics, Transactions ASME
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