The present paper presents an expression for the point mobility of infinite plates driven by a perfectly rigid indenter. The problem is of general interest in connection with excitation and transmission of structure-borne sound. The indenter is assumed to be circular, weightless, stiff compared to the stiffness of the plate, and small compared to the wavelength of the bending and quasi-longitudinal waves of the plate. A detailed three-dimensional analysis is used. Traditionally the problem is solved approximately by means of assuming a pressure distribution in the interface between indenter and plate. In the present study the pressure distribution is also assumed, but an optimal choice of the pressure amplitude is found by means of a variational formulation.
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