Abstract
The flexural damping factor of multilayered plates is developed using a strain energy approach. The derivation is based on the exact, steady-state solution for a plate subjected to boundary conditions that are harmonic in time and position along the plate. The distribution of elastic strain energy contained within the individual layers of the plate is developed, from which an effective, flexural damping factor is determined. Comparisons to the widely used RKU analysis [D. Ross, E. E. Ungar, and E. M. Kerwin Jr., ‘‘Damping of Plate Flexural Vibrations by Means of Viscoelastic Laminae,’’ ASME, Section 3, pp. 49–87 (1959)] are made for selected cases of constrained and unconstrained layer damping. Good agreement with RKU theory is demonstrated for the selected cases. Advantages of the present analytic approach include: (1) The ability to model the effect of fluid loading; (2) Unlimited number of plate layers; and (3) The handling of compressible layers and associated loss mechanisms. Analytical estimates of damping factors are compared with measurements made on steel bars treated with an unconstrained damping layer. Stress-state assumptions are shown to be a major factor affecting theory-data agreement.
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