Abstract

A numerical and experimental s tudy is made of the response to random excitation of a beam and rectangular plate w ith dry friction damping due to slipping at the support boundaries. The design of the beam experimental a pparatus and the utilization of the associated instrumentation are described. Comparisons of the experimental results with those o btained from an approximate analytical solution and also to the r esults from numerical simulations are made. The good agreement among these several results shows that the concept of an equivalent linear viscous damping due to slipping at t he support boundaries often can be usefully applied to determine the resDonse due to random excitation. This approach, nonlinear when appl'icable, greatly simplifies the random vibration prob! em. Nomenclature beam or plate length, cm modal generalized c oordi nate, cm plate width, cm see Eq. (9)

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